Welcome to Eleven Entrance Help!!
Here below are the most asked questions for entrance facing students.
Its in the format as below:
<Question Code> <Question> <Options> <Answer>
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For example:
'...... 1,"Tapeworm has no digestive system because:",,"it is a parasite","it lives in intestine","it doesn’t need food","it absorbs its food from general body surface",4.........'
Here {1} is question code, {"Tapeworm has no digestive system because:" is question, "it is a parasite","it lives in intestine","it doesn’t need food","it absorbs its food from general body surface"} are choices and {4} is answer.
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173,"Which of the following is the condition for three points (a,0), (0,b) and (1,1) to be collinear?",,"a + b = ab","a - b = ab","b - a = ab","a + b + ab = 0",1
174,"How many degrees has the minute hand moved on a clock from 4.00 p.m. to 4:12 p.m.?",,"12","36","72","90",3
175,"If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0 and cx + 4y + 1 = 0 are concurrent, then a, b, c are in:",," G.P.","H.P.","A.P.","None of these",3
176,"If x - 1, x, x - 1 is a geometric sequence, then x is:",,"-1/2","1/2","2","1",2
177,"The two A.M. between 160 and 172 are:",,"168, 164","164, 168","165, 170","148, 184",2
178,"The acute angle between the lines represented by
x2 - 10xy + 25y2 = 0 is:",,"30#o","45#o"," 0#o","None of these",3
179,"The 2nd term of a G.P. is 48, where as its fifth term is 162. The sum of its first six term is",,"665","216","276","624",1
180,"A printer the can print 1 page in 5 second shut down for three minutes to shut cool off after every hours of operation. How many minutes will a printer take to print 3600 pages?",,"300","312","18,000","18,897",1
181,"Which of the following is the value of p. if one root of x2+px+1 = 0 is the square of other R:",,"-1","-2","1 or -2","-1, 2",3
182,"750 times 45 equal P. Therefore, 750 times 44 equal:",,"P – 45","P - 750","P - 1","750 P",2
183,"The surface area of a cube is 216 cm#2, its volume is:",,"212 cm#3","36 cm#3","216 cm#3","72 cm#3",3
184,"The length of the minute hand of a wall clock is 10cm. Find the distance traveled by it in 21 minutes.",,"22 cm","21 cm","210 cm","1 cm",1
185,"The sum of three numbers in A.P. is 21 and the sum of their squares is 155 then the common difference of the A.P is:",,"2","- 2","±2"," 3",3
186,"What must be added to make x#4 + 6x#3 + 19x#2 + 30x a perfect square?",,"10","25","30","49",2
187,"If 2 < x < 4 and 3 < y < 7, what is the largest integer value of x + y?",,"9","11","12","10",1
188,"The polynomials kx#3+3x#2-3 and 2x#2-5x+k when divided by x-4 leaves the same remainder in each case, the value of k is",,"1","2","3"," 4",1
189,"Which of the following infinite series has its sum?",,"2, 4, 8, 16 ....","1, -1, 1, -1,","16, 8, 4, 2, ....","2, -4, 8, 16, ....",2
190,"It a + b : a - b = 1:5, then a#2 - b#2 : a#2 + b#2 equals",,"2 : 3","3 : 2","5 : 13","13 : 5",3
192,"In an examination, a student required 40% to pass it , A student getting 185 marks fails by 15 marks, then the total marks:",," 200","300","400","500",4
193,"If x1/m = y1/n = z1/p and xyz = 1, Then m + n + p is:",,"0","1","2","can not determine",1
194,"The measure of angles of a triangle is in the ratio 4:5:9. Then the triangle is:",,"an cute angled triangle","a right angled triangle","an obtuse angled triangle","none of these",2
195,"The mean and medium of moderately asymmetrical distribution are respectively 26.8 and 27.9, and then its mode is:",,"10","20","30","40",3
196,"If 2x - 4 = 4ax – 6. What is the value of x?",,"2","6","6a","2a",2
197,"If f(x) = x#3 + 1 and g(x) = x + 1, then which of the following is the defined function for fog(x)?",," (x + 1)#3 + 2","x#3 + 3x#2 + 3x + 2","x#3 + 2","None",2
198,"In an AS, S11 = 77, find t6:",,"17","71","21","7",4
199,"Which of the following is the general term of the sequence 11, 9, 7,..., when n is the number of the terms:",,"n","11+n","11-2n","11-2(n-1)",2
200,"The radius of a circle is 21 cm. An arc of the circle subtends an angle of 60#o at the centre the length of the arc is:",," 21 cm"," 22cm","23 cm","24 cm",2
201,"The lines 4x + 5y + 6 = 0 and 5x - 4y + 3 = 0 are:",,"Parallel","Co-incident","Intersecting","None of these",3
202,"The pair of St. Lines represented by -2x#2-3xy+2y#2 = 0 are:",,"perpendicular","parallel","coincident","none",1
203,"If 2Sin2x = Sinx, then a value of x is:",,"120°"," 60°","45°","0°",4
204,"Two quantities are in the ratio 7:4 if the greater quantity is 24.5, then the smaller quantity will be:",,"14","15","10","none",1
205," At what rate percent per annum compound interest will be Rs.2304 amount to Rs.2500 in 2 yrs.",,"25/6 %","30%","17%","none",4
206,"Four persons are engaged in the business in the ratio 18:10:8:4. What percentage does the person occupies who have the least share of the whole business?",,"10%","4%","20%","0%",1
207,"In a group of 50 students, 25 speak English, 30 speak Nepali, 8 speak neither English nor Nepali. The number of students who speak both languages will be:",,"10","15","13","None",3
208,"The average age of a class of 35 students is 15 years. If the teacher's age is also included the average age increased by one year. Find the age of the teacher in years.",,"51yrs.","50 yrs.","52 yrs.","none of these",1
209,"The orthocenter of the triangle formed by the lines whose equation are x – y + 1 = 0, x + 2y + 4 = 0 and
9x – 3y + 1 = 0 will:",,"(-1, 4)","(4, -1)"," (0, 5)","None",4
210,"If (a, Sina) and (b, Sinb) are any two points on the graph of y = Sinx, then the greatest value of Sina - Sinb is:",,"1","2","0","180°",2
211,"A and B together can do a piece of work in 12 days. A alone can do the same work in 18 days. In how many days B alone can do the same work?",,"36","24","18","None",1
212,"The base of an isosceles triangle lies on the x-axis. What is the sum of the slopes of the three sides?",,"0","1","-1","can not determine",1
213,"Brian gave 20% of his base ball cards to Scott and 15% to Adam. If he still had 520 cards, how many did he have originally?",,"7426/7","800","700","1320",2
214,"If x:y = 2:3 and y:3 = 4:7, then x:y:3 will be:",,"-1:5:7","8:12:21","39835","none",2
215,"If a and b are positive numbers with a#3 = 3 and a#5 = 12b#2. What is the ratio of a to b?",,"2:3","3: 2","2:1","1:2",4
216,"The volume of the cone whose height is 48cm and radius of base is 14cm:",,"9756 cm#3","9827 cm#3","9835 cm#3","9856 cm#3",4
217,"A woman wants to earn Rs.76 a year. How much money must she invest at the rate of 2% to earn her desired amount?",," Rs.38","Rs.380","Rs.7600","Rs.760",2
218,"If x + 2y = 20, y + 2z = 9 and 2x + z = 22, what is arithmetic mean of x, y and z?",," 10/3","4","17/3","22/3",3
219,"Rs.1360 has been divided among A, B, C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. Then, B's share is:",,"Rs.120","Rs.160","Rs.240","Rs.320",3
220,"If 0.1% of m = 10% of n, then m is what percent of 10n?",,"1/1000","1%","10%","1000%",4
221,"At the rate of 5% per annum, if the interest doubles the amount. Find the time taken",,"50 yrs","60 yrs","40 yrs"," 20yrs",3
222,"The graph of which of the following equation is Perpendicular to line y = -3x-6?",,"x + 3y = 3","x+1/3 y = 2","x+1/6 y = 4","x/3 - y = 2",1
223,"The co-ordinate of the foot of the perpendicular from (6,8) to the line through (1, 5) and (9, 3) is",,"(-4, - 5)","(4, 5)","(5, 4)","(1, 2)",3
224,"In what ratio is line joining (1,3) and (2,7) divided by
3x + y = 9.",,"3/4","4/3","8/6","All",4
225,"The sum of square of three real quantities is zero; each of them is separately zero. It is called:",,"Ostwald Identity","Zeroth Law","Langregan’s Identity","Playfair’s Law",3
226,"The equation of the line through (4, 1) which is perpendicular to the line x - 2y - 4 = 0 is",," x - 2y - 2 = 0"," 2y - x + 2 = 0","2x + y + 9 = 0","2x + y - 9 = 0",4
227,"The matrix must be ----- for its inverse to exist:",,"singular","square","non-singular","skew-symmetric",3
228,"What number should be subtracted from each of the numbers 54, 71, 75 and 99 so that the remainders may be proportional?",,"3","7","2","none of the above",4
229,"The population of a town doubled every 10 years from 1960 to 1990. What was the percent increase in population during this time?",,"100%","200%","800%","700%",3
230,"The center of circle with equation x#2+y#2+2gx+2fy+c = 0 is:",,"(g,f)","(f,g)","(-f,-g)","(-g,-f)",4
231,"If f(2) = 10 and f(4) = 44, which of the following could be f(x):",,"2x + 6","2x#2 + 12","2x#3 + 2","3x#2 – x",4
232,"The ratio of the length of a rod and its shadow is 1:3 . The angle of elevation of the sun is:",,"30°","45°","60°","90°",1
233,"If x#2 – x = 12 and y#2 – y = 12, what is greatest possible value of x-y:",,"0","4","7","12",3
234,"If -1 < a <2 and -3 < b <2, what is greatest possible value of (a + b) (b – a)?",,"8","9","10","12",2
235,"If the sum of five consecutive odd integers is 735 what is the largest of these integers?",,"155","151","145","143",2
236,"If - 7 < x <7 and 0 < y < 12, what is the greatest possible value of y - x?",,"19","7","14","0",1
237,"The centroid and Incenter is the same point for:",,"equilateral triangle","isosceles triangle","right angled triangle","both a and b",4
238,"When 423,890 is rounded off to the nearest thousand, how many digits will be changed?",,"1","2","3","4",3
239,"The cuboid can serve as:",,"2 dimensional plane","3 dimensional plane","4 dimensional plane","both a and b",4
240,"If 2A = 3B = 4C then A:B:C is",,"2:3:4","4:3:2","6:4:3","3:4:2",3
241,"If f(x) = x#2, then [f(x) + c] shifts the graph:",," upward than f(x)","downward than f(x)","right than f(x)","left than f(x)",1
242,"A question setter has to choose without repetition 3 questions from algebra book containing 10 questions. How many ways are possible?",,"720","360","300","none",1
243,"At Milltown High School, 315 girls play at least one varsity sport, 100 play a fall sport, 150 play a winter sport, and 200 play a spring sport. It 75 girls play exactly two sports, how many play three?",,"30","35","100","240",1
244,"If a is increased by 10% and b is decreased by 10%, the resulting numbers will be equal. What is the ratio of a to b?",,"9/10","10/9","9/11","11/9",4
245,"A committee A has 18 members and committee B has 3 members. How many members from committee A must switch to committee B so that committee A will have twice as many members as committee B.",,"4","6","7","9",1
246,"What is the maximum number of points of intersection between square and a circle?",,"less than 4","4","6","8",4
247,"The union of differences of two set A and B i.e.
(A-B) (B-A) is called:",,"symmetric difference","asymmetric difference","skew-symmetric difference","pseudo-symmetric difference",1
248,"Two ships leave from the same port at 11:30 A.M. If one sails due east at 20 miles per hour and the other due south at 15 miles per hour, how many miles apart are the ships at 2:30 pm?",,"75","25","50","80",1
249,"What special name is given to the parallelogram ABCD where AC = BD.",," rectangle","square","rhombus"," all",1
250,"What single discount is equivalent to two successive discounts of 10% and 15%?",,"25%","24%","24.5%"," 23.5%",4
251,"If each of the dimensions of a rectangle is increased by 100%, the area is increased as:",,"100%","200%","300%"," 400%",3
252,"A circular board with a moveable arrow at center is colored with blue, green, red and white. The sector blue and red subtend angles 30º & 60º respectively at center of board. Find the probability that the arrow points on green and white segment.",," 2/4","3/4","2/3","1/4",2
253,"A woman wants to earn Rs.76 a year. How much money must be invested at the rate of 2% to earn her desired amount?",,"Rs.38","Rs.380","Rs.7600","Rs.760",2
254,"What will be the locus of the circle moving in a certain direction in a straight line?",,"sphere","hemisphere"," frustum","cylinder",4
255,"A circle is inscribed in a given square and another circle is circumscribed about the same square. What is the ratio of the area of inscribed to the area of the circumscribed circle",,"1:4","1:2","2:3","3:4",2
256,"A ran from house to school at average speed of 6 miles/hr and returned along the same route at average speed of 4 miles/hr. If total time to run to school and back was 1 hour, how many minutes did it take her to run from house to school?",,"16","20","24","30",3
257,"Three circles are tangent externally to each other and have radii of 2 inches, 3 inches and 4 inches, respectively. How many inches are in the perimeter of the triangle formed by joining the centers of the three circles?",,"9","12","15","18",4
258,"The strength of 20 liter solution is 5%. Then the strength of the additional solution to make 50 liters 8% solution is",,"5","8","10","none",3
259,"The cost of a bicycle including sales tax is Rs.760. If the sales tax is paid at the rate of 10%, find the list price of the cycle.",," Rs.1820","Rs.1600","Rs.1760","Rs.800",4
260,"If 5, x, y, z, 405 are in G.P. then value of z is:",,"45","135","15","None",2
261,"The equation of the locus of a point which moves such that its distance from x-axis is twice the distance from the origin.",,"3x#2 + 4y#2 = 0","4x#2 + 3y#2 = 0","4x#2 - 3y#2 = 0","None",4
262,"If ax = b, by = c, cz = a, then the value of xyz is",,"0","1","2","3",2
264,"A boatman rows 12 miles in 3 hours, against a stream, the rate of stream is 5 miles per hour. What time will be required if he rows 42 miles with the stream.",,"6 hours","3 hours","13 hours","none",3
265,"The distance betweens the lines 3x + 5y = 9 and
6y + 8y = 15 is:",," 3/2","3/10","6","none of these",2
266,"The share of A on distribution of Rs.5200 between A, B, C and D in such a way that B gets one-third of what A gets; C gets half of what B gets and D gets half of what both A and B get is",,"1600","800","2400","none",3
267,"Cosec268#o - Tan222#o is equal to:",,"0","1","–1","none of these",2
268,"If the price of petrol is increased by 25%, then the percentage a man must reduce his consumption so that his expenditure on petrol may increase only 10%.",,"15%","12%","35%","none",2
269,"The equation of a line through (5, -3) parallel to y-axis is",,"y = -3","y = 2","x = 5","x = -3",3
270,"If 5% S.P. of an article is equal to 6% of its C.P. and 8% of S.P. exceeds 9% of C.P. by Rs.4.50. Then the price of article sold is:",,"750","900","1800","none",2
271,"A square matrix A is called singular when is:",,"0","1","–1","none of these",1
272,"The equation x + y = 2 and 2x + 2y = 3 have:",,"unique solution","finitely many solution","no solution","infinite set of solution",3
273,"The point of intersection of perpendicular bisectors of the sides of triangle is:",,"orthocenter","circum centrein centre","in centre","out centre",2
274,"Which one is incorrect for two triangles to be congruent?",,"RHS","SAS","ASA","AAA",4
275,"The distance between 3x+4y = 9 and 6x+8y = 15 is",,"3/10","3/2","6","3/16",1
276,"The area of the triangle with the sides 5cm, 12cm and 13cm is:",,"30cm#2","300cm#2","78cm#2","none of these",1
277,"Equation of line through origin and making an angle 45#o with x-axis is:",,"x – y = 0","x + y = 0",") x = 2y","2x = y",1
279,"If p and q are roots of the equation x#2+pq = (p+1)x then q equal to:",," -1","1","2","-2",2
280,"If 3x + 4y is an odd number, which of the following cannot be true?
(I) x is odd and y is odd
(II) x is even and y is even
(III) x is even and y is odd",,"II and III only","I and II only"," II only","III only",1
281,"If p, q, r are in A.P, x, y, z are in G.P, then xq-r.yr-p.zp-q equals:",,"1","0","-1","1/2",1
282,"If (x - 2) (x + k) = x#2 + mx -10, then mk = -----.",,"20","15","12","–15",2
283,"If 3 sinA + 4cosA = 5 then 3cosA - 4sinA equals",,"3","4","5","0",4
284," If the circumference of a great circle of a sphere is 88 cm then the total surface area of the hemisphere is:",,"2464 cm#2","1848 cm2","2644 cm2","8418 cm2",1
285,"The area of the rectangular plot of land whose one of the sides measures 24 m and length of diagonal is 26 m is:",,"240 m#2"," 420 m2","624 m2","246 m2",1
286,"A and B are two sets such that A = [-1, 3], B = [2, 4] then A-B is:",,"[-1,2]","(-1,2]","[-1,2)","(-1,2)",3
287,"If the two numbers are in the ratio 2:3 and their LCM is 90 then they are:",,"30 & 45","30 & 60","60 & 90","20 & 30",1
288,"The symmetric difference of A = {1,2,3,4,} and
B = {3,4,5,6} is:",,"{1,2}","{3,4}","{5,6}","{1,2,5,6}",4
289,"A man sold an article for Rs945 at 5% profit. What is the CP of the article?",,"Rs845","Rs900"," Rs800","Rs750",2
290,"The equation of the bisectors of the angles between the lines represented by 2x2-6xy-y2 = 0 is",,"x#2+y#2-xy = 0","x#2+xy-y#2 = 0","x2-3xy-y#2 = 0","x#2+y#2 = 0",3
291,"lf x#3 + ax#2- + bx + 1 is divided by x- 2 and x + 3 the remainder are 9 and 19. Find a & b.",,"3, 6","6, 3","-6, 3","3, -6",1
292,"The equation whose roots are the reciprocal of the roots of
x2-x+1 = 0 is:",,"x#2-x+1 = 0","x#2+x+1 = 0","x#2+x-1 = 0"," none",1
293,"For what values of K the equations 2x - 3y = 4
& 2x + ky = 5 will not have unique solution?",,"3","-3","2","-2",2
294,"If A = {1, 2, 4} then the numbers of non-empty proper subset of A is:",,"3","6","7","8",2
295,"The base of a rectangular tank is 12 feet long and 8 feet wide; the height of the tank is 30 inches. If water is pouring into the tank at the rate of 2 cubic feet per second, how many minutes will be required to fill tank?",,"1","2","10","120",4
296,"In what ratio does the point on x-axis divide the segment joining (2, 3) and (0, 5)?",,"5:3","-5:3"," -3:5","3:5",3
297,"Find the value of ab if (a×2) + (a×2#2) + (bx2#3) + (b×2#4) = 42 and if a and b are positive integers.",,"2","3","4","5",2
298,"ABCD is a square and E is the point of intersection of diagonals. What is the least no: of these five points that need to be moved so that all five points lie on circumference of same circle.",,"4","5","3","1",4
299,"If x#2 + y#2 = 2xy, x must be equal to:",,"-1","0","1","y",4
300,"If x, y, 2 and w are consecutive multiples of 6 where x<y<z<w, what is the value of (x – z) (w – y)?",,"144","-36","+36","-144",4
301,"A ran from house to school at average speed of 6 miles/hr and returned along the same route at average speed of 4 miles/hr. If total time to run to school and back was 1 hour, how many minutes did it take A to run from house to school?",,"16","20","24","30",3
302,"For all x, let f(x) = (10-x)#2. If p = f(6), which of the following is equal to 4p?",," f(24)","f(18)","f(12)","f(8)",2
303,"Which of the given function is identity function?",,"f(x) = ax#2+b","f(x) = ax#2+bx","f(x) = ax+b"," none",3
305,"You are given certain volume of iron. You are required to mould it to any shape but you must make the surface area as small as possible. Which structure will you make?",,"cylinder","sphere","cube","cuboid",2
306,"The arithmetic mean of a, b, c & 48 is 24. It was found that by mistake 84 was misread as 48, what was the actual mean?",,"30","31","33","34",3
307,"There are 320 students at school assembly attended by only juniors and seniors. If there were 60 more juniors than seniors and if there were 30 more female juniors than male juniors, how many male juniors were at assembly?",,"70","80","90","none",2
308,"Rectangle of largest possible area, for a given perimeter is:",,"rectangle itself"," triangle","square","pentagon",3
309,"How many arithmetic mean and geometric can be inserted between 1 and 4 in maximum case respectively?",,"1, 1","2, 1","2, 2","Infinite numbers in both cases",4
310,"The value of sinA + sinB + sinC + sinD can’t be:",," 3","4","5","-3",3
311,"If Sec-1x = Cosec-1y, then value of 1/x#2 + 1/y#2 =?",,"0","1","-1","2",2
312,"Suman’s average on 6 subjects was 90 and average on 3 subjects was 100, then average on remaining 3 subjects is:",,"70","85","80","83",3
313,"Let A={ 1,2,4,8}, B={1,3,6,8,9}, C=AUB, D=A?B. If elements x and y are chosen from sets C and D respectively, then what is probability that product of x an y is odd?",,"13/14","3/7","3/14","11/14",3
314,"If b equals 40% of a, then in terms of b, 40% of 4a is equal to which of the following?",,"b/40","b/4","4b","16b",3
315,"If x + 2y = 6, y+2z = 10, z + 2x = 20, then 10 times the arithmetic mean of x, y and z = -----.",,"100","90","120","80",3
316,"2SinASinB =?",,"Cos(A+B) – Cos(A-B)","Cos(A-B) – Cos (A+B)","Sin(A+B) – Sin(A-B)","Sin(A+B) + sin(A-B)",2
317,"The remainder when f(x)=x#3+6x#2–x–30 is divided by x +1 is:",,"25","-22","24","-24",4
318,"If Sin2x = 3Sin2y, then 2tan(x-y) =?",,"tan(x-y)","tan(x+y)","3tan(x-y)","3tan(x+y)",2
319,"In any GP, second term be added to each of three consecutive terms then the resulting terms are in:",,"AP","GP","HP","None",3
320,"Which of the following condition is true for two numbers a and b?",,"AM > HM > GM","GM > AM > HM"," AM > GM > HM","HM > AM > GM",3
321,"If x2 = 16 and y2 = 4, which is the greatest possible value of
(x – y)2?",,"4","16","36"," 12",3
322,"The special name given to matrix where all the elements of main diagonal must be zero is:",,"Null matrix","symmetric matrix","skew–symmetric matrix","both (a) and (c",4
323,"If a root of the equation 4x#2 + kx + 6 = 0 is -2 find the value of k.",,"9","10","11","12",3
324,"The condition for two given lines with slopes m1 and m2 be perpendicular is",,"m1m2 + 1 = 0","m1 = m2","m1 + m2 = 0","m1m2 -1 = 0",1
325,"What is the angle between the lines 3x#2 – 7xy – 3y#2 = 0.",,"0","90","60","45",2
326,"The vectors 2i + 3j – k and -4i – 6j + 2k are:",,"equal","have same magnitude","perpendicular"," parallel",4
327,"Justin’s average (arithmetic mean) on four tests is 80. What grade does he need on his fifth test to raise his average to 84?",,"82","84","92","100",4
328,"The average salary of male employees in a firm was Rs520 and that of females was Rs420. The mean salary of all the employees was Rs500, then percentage of male is:",,"20 %"," 80%","0%","60%",2
329,"If the slope of the joining the points (x, 5) and (-1, 2) is 3/4 then the distance between them is:",,"0"," 5","10","none",2
330,"If 2x = 3y = 6-z, then the value of 1/x + 1/y + 1/z is:",,"0"," 1","2","none",1
331,"Which of the given relation is correctly written for relation between mean, median and mode?",,"mean = 3 median – 2 mode","Mode = 3 median – 2 mean","median = 2 mean – 3 mode","2 mode = 3 median – 2 mean",2
332,"The probability that a boy will get a scholarship is 0.75 and that a girl will get is 0.72. What is the probability that at least one of them will get the scholarship",,"0.93"," 1.47","0.03","1",1
333,"The equation if the circle with centre at (2, 3) and radius 5 is:",,"x#2 + y#2 + 4x + 6y – 12 = 0","x#2 + y#2 - 4x - 6y – 12 = 0",") x#2 + y#2 - 4x - 6y + 12 = 0","x#2 - y#2 - 4x - 6y – 12 = 0",2
334,"The remainder when x#3 + 6x#2 - x - 30 is divided by x - 2 is:",,"0","30","–30","none",1
335,"Given that a:b = 6:12, b:c = 3:5 and c:d = 10:12, Then a:d is:",," 2:3","2:1","1:4","none",3
336,"A radio sells Rs400 then some loss will occurs. If the same sells at Rs500 then profit is 2/3 of loss. Find the cost price of radio?",,"Rs60","Rs400","Rs460","Rs340",3
337,"Any linear function defined on a system of linear inequalities which is to maximize and minimize is called",,"subjective function","boundary function","objective function","one to many function",3
338,"If 8 rupees are worth 15 shillings and 25 shillings are worth 6 dollars, how many dollars are equal to 45 rupees?",,"25","20.25","25.20","none",2
339,"The height of a cone is equal to the radius of its base. The radius of a sphere is equal to the radius of the base of the cone. The ratio of the volume of the cone to the volume of the sphere is:",,"1/3"," 1/4","1/12","1/1",2
340,"If f(x,y) = 2x#2–y#2 and y(x) = 2x, the value of g{f(1,2)} is:",,"1","4","1/4","–4",3
342,"The sum of zeros of f(x) = x#3 - 3x#2 – 4x + 12 is:",,"3","-3","7","none",1
343,"What is the equation of the set of points situated in a plane so that the distance between any point and (0, 0) is twice the distance between that point and the x – axis?",,"3x#2 – y#2 = 0","x#2 – 3y#2 = 0","4x#2 + 3y#2 = 0","x#2 + y#2 – 2y = 0",2
344,"20 students play football and 16 students play hockey. It is found that 10 students play both games. Find the numbers of students playing at least one game.",,"26","36","6","None",1
345,"My salary was first increased by 10% and then decreased by 10%. What is the percentage change in my salary?",,"20%","1%","5%","None",2
346,"The circle whose ends of a diameter be (3, 0) and (7, -1) is:",,"x#2 – y#2 + 10x + y + 21 = 0","x#2 + y#2 + 10x + y + 21 = 0","x#2 + y#2 - 10x + y + 21 = 0","x#2 – y#2 - 10x + y + 21 = 0",3
347,"If 4 kg tea is worth 8 kg of sugar, 5 kg of sugar is worth 12 kg of flour, 7 kg of flour is worth 1 kg of coffee, how many kg of tea is worth 24 kg of coffee?",,"35","24","70","None",1
348,"If n denotes no of roots and m denotes the degree of equation then which of the following relation is true?",,"m = n","m > n","m< n","none",1
349,"If the fourth term of a G.P. is 27 and seventh term is 729, find the common ratio.",," 1"," 27","3","None",3
350,"In a race of 1km, A beats B by 100m, B beats C by 50m and C beats D by 40m. Find by how many meters will A beats D?",," 820.8","179.2","190","None",2
351,"The sum of an odd number and an even number is:",,"sometimes an even","always a prime number","always an odd number","always divisible by 2",3
352,"If a = bc, b = ca and c = ab, then the value of abc is:",," 0","1","2","none",2
353,"The roots of ax#2 + bx + c = 0 are imaginary for:",,"b#2 – 4ac > 0","b#2 – 4ac < 0","b#2 – 4ac < 0","none",1
354,"If SinA + CosecA = 2, then Sin3A + Cosec3A is:",,"8","6"," 4"," 2",4
355,"If (x + 1) times (2x + 1) is an odd integer, then x must be",,"an odd integer","an even integer","a prime number","a composive number",1
356,"If 3x + 2y = 12 and 2x + 3y = 28, what is the arithmetic mean of x and y?",,"2","8"," 4","None",3
357,"Find the value of k so that the equation 2x#2 + kx – 15 = 0 has one root = 3.",,"-4","1","3","-1",4
358,"The H.C.F. and L.C.M. of two numbers are 12 and 240 and if one of the number is 48 find the other number.",,"60","30","120","None",1
359,"Which of the following point is passes through the line whose intercepts on the axes of x and y are respectively -2 and 3?",,"(3, 1)","(2, 6)","(1, 3)","(6, 2)",2
360,"If a = 10x, b – 10y and (ay bx)z = 100, then the value of xyz is",,"100","0","1","None",3
361,"The equation of the line which cuts off intercepts 3 and -5 from y-axis and x-axis is:",,"5x – 3y = 15","5x + 3y = 15","5y – 3x = 15","5y + 3x + 15 = 0",3
362,"A die is thrown once. Determine the probability of getting a number less than or equal to 4.",,"1/2","2/3","1/3","None",2
363,"The centre of the circle whose equation is
x2+y2+4x–6y+4=0 is:",,"(2, 3)","(2, -3)","(-2, 3)","None",3
364,"For what value of k the function f(x) = x#3 + 6x#2 – x – k is divided by x + 1 leaves the remainder -24?",,"30","-30","30","24",2
365,"A circle is inscribed in a given square and another circle is circumscribed about the same square. What is the ratio of the area of the inscribed to the area of circumscribed circle?",,"1:4","2:3","1:2","3:2",3
366,"An equilateral triangle 3 inches on a side is cut up to smaller equilateral triangles one inch on a side. What is the greatest number of such triangles that can be formed?",,"3","6","9","15",3
367,"If each of the dimensions of a rectangle is increased 100%, the area is increased:",,"100%","200%","300%","400 %",3
368,"The fourth proportional to 5, 8 and 16 is:",,"25.6","10","29","None",1
369,"A rectangular sigh is cut down by 10% of its height and 30% of its width. What percentage of the original area remains?",,"30","96","63","51",3
370,"If one angle of a triangle is three times a second angle and third angle is 20 degree more than the second angle, the second angle, in degree is",,"64","32","40","34",2
371,"For all x, let f(x) = (10 – x)#2. If P = f(6) which of the following is equal to 4P?",,"f(24)","f(18)","f(12)"," f(8)",2
372,"If the radius of a circle is increased by 10%, the area of the circle is increased by:",,"10%","21%","100%","None",2
373,"If a, b, c and d are consecutive multiples of 5, where a<b<c<d, what is the value of (a –c) (d –b)?",,"-100","-25","50","None",1
374,"A bag contains 4 black and 3 white balls. A ball is drawn randomly and not replaced then another ball is drawn. The probability of getting two black balls is ---",,"12/42","6/42","8/42","None of these",1
375,"A circular field of diameter 84m is surrounded by a path 7m wide. If the area of the path is 2002m2, then the width of the path is ---",," 7cm","8cm","9cm","None of these",1
376,"A rectangle is cut down by 10% of its height and 30% of its width. What percentage of original area decreases?",,"30%","37%","57%"," 63%",2
377,"A radio sells at Rs.400 then some loss will occur. If same radio sells at Rs.500 then profit is 2/3 of loss, find the cost price of radio?",,"Rs.60","Rs.400","Rs.460","340",3
378,"Which of the relation is correct?",,"mean = 3 median – 2 mode","mode = 3 median – 2 mean","median = 2 mean – 3 mode","2 mode = 3 median – 2 mean",2
379,"If price of petrol is increased by 25%, then percentage a man most reduce his consumption so that his expenditure on petrol may increase only 10% is",,"15%","12%","35%","None",2
380,"The sum of radius of base & height of solid cylinder is 37cm. If total surface area of solid cylinder is 1628 sq cm, find the volume of cylinder.",,"4260","4620","4720","None",2
381,"50 cards are numbered from 1 to 50 and they are kept in a bag. A boy chooses a card randomly. Find the probability that the card number which is divisible by both 3 & 7.",,"1/25"," 2/25","8/25","none",1
382,"For what values of k the equations kx - y = 2, 6x - 2y = 3 has no solution.For what values of k the equations kx - y = 2, 6x - 2y = 3 has no solution.vv",,"k = 3"," k = 3","k = 4","k = - 3",2
383,"A rectangular block of metal weight 3 kg. What will be the weight of the block of the same metal if the edges are twice as large?",,"3/8","3/4","3","24",4
384,"A bag contains 2 red marbles, 3 green marbles, and 4 orange marbles. If a marble is picked at random, what is the probability of that marble not having orange?",,"9/5","5/9","1/9","None",2
385,"The price of an imported car is 8,25,000 which includes a VAT of 10% of the original cost. Find the price of the car before VAT.",,"8,25,000","7,50,000","75,000"," None",2
386,"A refrigerator costs Rs22,288.50 including the VAT. If the price exclusive of VAT be Rs19050, then the percentage of VAT is:",,"17%","15%","34%","None",1
387,"I bought a colour T.V. for Rs.25000 and sold it for Rs.21,000; what percentage I lost?",,"32%","16%","40%","25%",2
388,"Find the slope of the straight line 2x – 3y + 5 = 0.",,"2/3","3/2","5/3","None",1
389,"The vertices of a triangle are (3, 1), (8, 1) and (8, 3). What is the area of this triangle?",,"5","10","20","12",1
390,"What was the original price of a radio that sold for Rs70 during a 20% off sale?",,"Rs84","Rs90","Rs92","Rs87.50",4
391,"Two ships leave from the part at 11:30 AM. If one sails due east at 20 miles per hour and the other due south at 15 miles per hour, how many miles apart are the ships at 2:3pm?",,"25","50","75","80",3
393,"A gasoline tank is 1/4 full. After adding 10 gallons of gasoline, the gauge indicates that the tank is 2/3 full. Find the capacity of tank in gallons.",,"24","20","14","60",1
394,"Tickets numbered from 1 through 50 are placed in a container, and one ticket will be selected at random. What is the probability that the ticket selected will have a number on it divisible by 3?",,"3/50","1/5","3/10","8/25",4
395,"For how many integer values of x will the value of the expression 3x - 4 be an integer greater than 4 and less than 250?",,"86","85","82","83",3
396,"If the diameter of a circle p is 40% of the diameter of circle Q, then the area of circle P is what percent of the area of circle Q?",,"16","20","40","80",1
397,"Three coins are tossed simultaneously. Two of the coins are fair and one is biased so that a head is twice as likely as a tail. The probability that all there up heads",,"1/3","1/6","2/3","None",2
398,"The radius of the circle x#2 + y#2 + 8x – 2y + 13 = 0 is",,"3","4","2","None",3
399,"If 2x#2 – kx + 8 = 0 has equal roots. The value of k is",,"7","6","8","± 8",4
400,"If a and b are the roots of the equation x#2 – px + q = 0. The value of a#2 + b#2 is",,"p – q","p#2 + 2q","p#2","p#2 – 2q",4
401,"The least values of x#2 – 3x + 5 is",,"– 1","0","2","None of these",4
402,"The slant surface of a right pyramid 15 cm high, standing on a square base whose side is 16 cm is s",,"136 cm","1280 cm","272 cm","None",1
403,"If a#x = b, b#y = c = c#z = a, then the value of xyz is equal to",,"2","1","0","-1",2
404,"The angle of a triangle, in ascending order are x, y, z and y – x = z – y = 10° the smallest angle is",,"40°","60°","50°","70°",3
405,"If the system of equations 2x + 4y = 12 and
(m + n) x + 2(m – n) y = 5m – 1 has infinite number of solutions, then the value of m and n are",,"m = 5, n = 1","m = 5, n = 1","m = –1, n = 5","m = n = 1",2
406,"If the numbers p, q, r are in A.P then m#7p, m#7q, m#7r (m > o) are in",,"A.P","G.P","H.P","None",2
407,"If 3x + y + k = 0 is a tangent to the circle x2 + y2 = 10. The value of K a re",,"± 7","± 5","± 10","± 9",3
408,"The market price of a T.V is Rs8, 500. If the shopkeeper allows 20% discount and 13% VAT, how much does a consumer pay for the vat?",,"7684","7864","8764","None",1
409,"The marks obtained 15 students of class 10 in mathematics test of full marks 50 are 42, 33, 24, 27, 18, 25, 26, 37, 48, 20, 10, 17 19, 30, 35, 36, which of following is the 3rd quartile?",,"32","26","36","19",3
410,"Sin#2 17.5° + sin#2 72.5° is equal to",,"cos#2 90°","tan#2 45°","cos#2 30°","sin#2 45°",2
411,"If ABC is a tangent at point B of the circle with c centre at O and Ë DBC = 120°, find the value of x",,"110°","120°","60°","None",2
412,"If 3/11 of a number is 22, what is 6/11 of that number?",,"11","12","33","44",4
413,"if 7a = 3 and 3b = 7, what is the value of a/b?",,"3/7","9/49","1","49/9",2
414,"If 3/4 of the employees in a supermarket are not graduates, what is the ratio of the number of college graduates to those who are not college graduates?",," 1:3","3:7","3:4","4:3",1
415,"Gilda can grade t tests in 1/x hours. At this rate, how many tests can she grade in x hours?",,"tx"," tx#2","1/t","x/t",2
416,"If 4 boys can solve a driveway in 2 hours. How many minutes will it take 5 boys to do the job?",,"60","96","120","150",2
417,"If two dice are thrown together, what is the probability of getting sum of 9 or 11?",,"5/6","1/6","7/6","1/18",2
418,"If x + y = 6, y + z = 7, z + x = 9, what is the average (AM) of x, y and z?",,"11/3","11/2","22/3","11",1",2
476,"He was made --- the shoes.",,"polish","for polishing","to polish","none",3
477,"She is used to --- alone.",,"stay","staying","stayed","stays",2
291,"Which of the following oxide imparts the green colour in the glass?",,"PbO","Cr$2O$3","Fe$2O$3","ZnO","2"
292,"Froth floatation is the process of concentration of which of the ores?",,"Oxide","Sulphide","Carbonate","Sulphate","2"
293,"Which of the following is known as philosophers wool?",,"ZnSO$4.7H$2O","ZnO","FeSO$4.7H$2O","FeO","2"
294,"The rxn NH$4 CNO NH$2 – CO – NH$2 is of the type:",,"Oxidation –reduction","Isomerization","Neutralization","Analysis","2"
295,"Who is the father of chemistry?",,"Dalton","Berzellius","Lavosier","None","3"
296,"Formalin is used as:",,"Disinfectant reagent","Preservation of biological specimens","Both a and b","None","3"
297,"Monomer of Bakelite plastic is:",,"phenol + formaldehyde","carbolic acid + Acetaldehyde","phenol + ethyl alcohol","None","1"
Here below are the most asked questions for entrance facing students.
Its in the format as below:
<Question Code> <Question> <Options> <Answer>
___________________________________
For example:
'...... 1,"Tapeworm has no digestive system because:",,"it is a parasite","it lives in intestine","it doesn’t need food","it absorbs its food from general body surface",4.........'
Here {1} is question code, {"Tapeworm has no digestive system because:" is question, "it is a parasite","it lives in intestine","it doesn’t need food","it absorbs its food from general body surface"} are choices and {4} is answer.
___________________________________
173,"Which of the following is the condition for three points (a,0), (0,b) and (1,1) to be collinear?",,"a + b = ab","a - b = ab","b - a = ab","a + b + ab = 0",1
174,"How many degrees has the minute hand moved on a clock from 4.00 p.m. to 4:12 p.m.?",,"12","36","72","90",3
175,"If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0 and cx + 4y + 1 = 0 are concurrent, then a, b, c are in:",," G.P.","H.P.","A.P.","None of these",3
176,"If x - 1, x, x - 1 is a geometric sequence, then x is:",,"-1/2","1/2","2","1",2
177,"The two A.M. between 160 and 172 are:",,"168, 164","164, 168","165, 170","148, 184",2
178,"The acute angle between the lines represented by
x2 - 10xy + 25y2 = 0 is:",,"30#o","45#o"," 0#o","None of these",3
179,"The 2nd term of a G.P. is 48, where as its fifth term is 162. The sum of its first six term is",,"665","216","276","624",1
180,"A printer the can print 1 page in 5 second shut down for three minutes to shut cool off after every hours of operation. How many minutes will a printer take to print 3600 pages?",,"300","312","18,000","18,897",1
181,"Which of the following is the value of p. if one root of x2+px+1 = 0 is the square of other R:",,"-1","-2","1 or -2","-1, 2",3
182,"750 times 45 equal P. Therefore, 750 times 44 equal:",,"P – 45","P - 750","P - 1","750 P",2
183,"The surface area of a cube is 216 cm#2, its volume is:",,"212 cm#3","36 cm#3","216 cm#3","72 cm#3",3
184,"The length of the minute hand of a wall clock is 10cm. Find the distance traveled by it in 21 minutes.",,"22 cm","21 cm","210 cm","1 cm",1
185,"The sum of three numbers in A.P. is 21 and the sum of their squares is 155 then the common difference of the A.P is:",,"2","- 2","±2"," 3",3
186,"What must be added to make x#4 + 6x#3 + 19x#2 + 30x a perfect square?",,"10","25","30","49",2
187,"If 2 < x < 4 and 3 < y < 7, what is the largest integer value of x + y?",,"9","11","12","10",1
188,"The polynomials kx#3+3x#2-3 and 2x#2-5x+k when divided by x-4 leaves the same remainder in each case, the value of k is",,"1","2","3"," 4",1
189,"Which of the following infinite series has its sum?",,"2, 4, 8, 16 ....","1, -1, 1, -1,","16, 8, 4, 2, ....","2, -4, 8, 16, ....",2
190,"It a + b : a - b = 1:5, then a#2 - b#2 : a#2 + b#2 equals",,"2 : 3","3 : 2","5 : 13","13 : 5",3
192,"In an examination, a student required 40% to pass it , A student getting 185 marks fails by 15 marks, then the total marks:",," 200","300","400","500",4
193,"If x1/m = y1/n = z1/p and xyz = 1, Then m + n + p is:",,"0","1","2","can not determine",1
194,"The measure of angles of a triangle is in the ratio 4:5:9. Then the triangle is:",,"an cute angled triangle","a right angled triangle","an obtuse angled triangle","none of these",2
195,"The mean and medium of moderately asymmetrical distribution are respectively 26.8 and 27.9, and then its mode is:",,"10","20","30","40",3
196,"If 2x - 4 = 4ax – 6. What is the value of x?",,"2","6","6a","2a",2
197,"If f(x) = x#3 + 1 and g(x) = x + 1, then which of the following is the defined function for fog(x)?",," (x + 1)#3 + 2","x#3 + 3x#2 + 3x + 2","x#3 + 2","None",2
198,"In an AS, S11 = 77, find t6:",,"17","71","21","7",4
199,"Which of the following is the general term of the sequence 11, 9, 7,..., when n is the number of the terms:",,"n","11+n","11-2n","11-2(n-1)",2
200,"The radius of a circle is 21 cm. An arc of the circle subtends an angle of 60#o at the centre the length of the arc is:",," 21 cm"," 22cm","23 cm","24 cm",2
201,"The lines 4x + 5y + 6 = 0 and 5x - 4y + 3 = 0 are:",,"Parallel","Co-incident","Intersecting","None of these",3
202,"The pair of St. Lines represented by -2x#2-3xy+2y#2 = 0 are:",,"perpendicular","parallel","coincident","none",1
203,"If 2Sin2x = Sinx, then a value of x is:",,"120°"," 60°","45°","0°",4
204,"Two quantities are in the ratio 7:4 if the greater quantity is 24.5, then the smaller quantity will be:",,"14","15","10","none",1
205," At what rate percent per annum compound interest will be Rs.2304 amount to Rs.2500 in 2 yrs.",,"25/6 %","30%","17%","none",4
206,"Four persons are engaged in the business in the ratio 18:10:8:4. What percentage does the person occupies who have the least share of the whole business?",,"10%","4%","20%","0%",1
207,"In a group of 50 students, 25 speak English, 30 speak Nepali, 8 speak neither English nor Nepali. The number of students who speak both languages will be:",,"10","15","13","None",3
208,"The average age of a class of 35 students is 15 years. If the teacher's age is also included the average age increased by one year. Find the age of the teacher in years.",,"51yrs.","50 yrs.","52 yrs.","none of these",1
209,"The orthocenter of the triangle formed by the lines whose equation are x – y + 1 = 0, x + 2y + 4 = 0 and
9x – 3y + 1 = 0 will:",,"(-1, 4)","(4, -1)"," (0, 5)","None",4
210,"If (a, Sina) and (b, Sinb) are any two points on the graph of y = Sinx, then the greatest value of Sina - Sinb is:",,"1","2","0","180°",2
211,"A and B together can do a piece of work in 12 days. A alone can do the same work in 18 days. In how many days B alone can do the same work?",,"36","24","18","None",1
212,"The base of an isosceles triangle lies on the x-axis. What is the sum of the slopes of the three sides?",,"0","1","-1","can not determine",1
213,"Brian gave 20% of his base ball cards to Scott and 15% to Adam. If he still had 520 cards, how many did he have originally?",,"7426/7","800","700","1320",2
214,"If x:y = 2:3 and y:3 = 4:7, then x:y:3 will be:",,"-1:5:7","8:12:21","39835","none",2
215,"If a and b are positive numbers with a#3 = 3 and a#5 = 12b#2. What is the ratio of a to b?",,"2:3","3: 2","2:1","1:2",4
216,"The volume of the cone whose height is 48cm and radius of base is 14cm:",,"9756 cm#3","9827 cm#3","9835 cm#3","9856 cm#3",4
217,"A woman wants to earn Rs.76 a year. How much money must she invest at the rate of 2% to earn her desired amount?",," Rs.38","Rs.380","Rs.7600","Rs.760",2
218,"If x + 2y = 20, y + 2z = 9 and 2x + z = 22, what is arithmetic mean of x, y and z?",," 10/3","4","17/3","22/3",3
219,"Rs.1360 has been divided among A, B, C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. Then, B's share is:",,"Rs.120","Rs.160","Rs.240","Rs.320",3
220,"If 0.1% of m = 10% of n, then m is what percent of 10n?",,"1/1000","1%","10%","1000%",4
221,"At the rate of 5% per annum, if the interest doubles the amount. Find the time taken",,"50 yrs","60 yrs","40 yrs"," 20yrs",3
222,"The graph of which of the following equation is Perpendicular to line y = -3x-6?",,"x + 3y = 3","x+1/3 y = 2","x+1/6 y = 4","x/3 - y = 2",1
223,"The co-ordinate of the foot of the perpendicular from (6,8) to the line through (1, 5) and (9, 3) is",,"(-4, - 5)","(4, 5)","(5, 4)","(1, 2)",3
224,"In what ratio is line joining (1,3) and (2,7) divided by
3x + y = 9.",,"3/4","4/3","8/6","All",4
225,"The sum of square of three real quantities is zero; each of them is separately zero. It is called:",,"Ostwald Identity","Zeroth Law","Langregan’s Identity","Playfair’s Law",3
226,"The equation of the line through (4, 1) which is perpendicular to the line x - 2y - 4 = 0 is",," x - 2y - 2 = 0"," 2y - x + 2 = 0","2x + y + 9 = 0","2x + y - 9 = 0",4
227,"The matrix must be ----- for its inverse to exist:",,"singular","square","non-singular","skew-symmetric",3
228,"What number should be subtracted from each of the numbers 54, 71, 75 and 99 so that the remainders may be proportional?",,"3","7","2","none of the above",4
229,"The population of a town doubled every 10 years from 1960 to 1990. What was the percent increase in population during this time?",,"100%","200%","800%","700%",3
230,"The center of circle with equation x#2+y#2+2gx+2fy+c = 0 is:",,"(g,f)","(f,g)","(-f,-g)","(-g,-f)",4
231,"If f(2) = 10 and f(4) = 44, which of the following could be f(x):",,"2x + 6","2x#2 + 12","2x#3 + 2","3x#2 – x",4
232,"The ratio of the length of a rod and its shadow is 1:3 . The angle of elevation of the sun is:",,"30°","45°","60°","90°",1
233,"If x#2 – x = 12 and y#2 – y = 12, what is greatest possible value of x-y:",,"0","4","7","12",3
234,"If -1 < a <2 and -3 < b <2, what is greatest possible value of (a + b) (b – a)?",,"8","9","10","12",2
235,"If the sum of five consecutive odd integers is 735 what is the largest of these integers?",,"155","151","145","143",2
236,"If - 7 < x <7 and 0 < y < 12, what is the greatest possible value of y - x?",,"19","7","14","0",1
237,"The centroid and Incenter is the same point for:",,"equilateral triangle","isosceles triangle","right angled triangle","both a and b",4
238,"When 423,890 is rounded off to the nearest thousand, how many digits will be changed?",,"1","2","3","4",3
239,"The cuboid can serve as:",,"2 dimensional plane","3 dimensional plane","4 dimensional plane","both a and b",4
240,"If 2A = 3B = 4C then A:B:C is",,"2:3:4","4:3:2","6:4:3","3:4:2",3
241,"If f(x) = x#2, then [f(x) + c] shifts the graph:",," upward than f(x)","downward than f(x)","right than f(x)","left than f(x)",1
242,"A question setter has to choose without repetition 3 questions from algebra book containing 10 questions. How many ways are possible?",,"720","360","300","none",1
243,"At Milltown High School, 315 girls play at least one varsity sport, 100 play a fall sport, 150 play a winter sport, and 200 play a spring sport. It 75 girls play exactly two sports, how many play three?",,"30","35","100","240",1
244,"If a is increased by 10% and b is decreased by 10%, the resulting numbers will be equal. What is the ratio of a to b?",,"9/10","10/9","9/11","11/9",4
245,"A committee A has 18 members and committee B has 3 members. How many members from committee A must switch to committee B so that committee A will have twice as many members as committee B.",,"4","6","7","9",1
246,"What is the maximum number of points of intersection between square and a circle?",,"less than 4","4","6","8",4
247,"The union of differences of two set A and B i.e.
(A-B) (B-A) is called:",,"symmetric difference","asymmetric difference","skew-symmetric difference","pseudo-symmetric difference",1
248,"Two ships leave from the same port at 11:30 A.M. If one sails due east at 20 miles per hour and the other due south at 15 miles per hour, how many miles apart are the ships at 2:30 pm?",,"75","25","50","80",1
249,"What special name is given to the parallelogram ABCD where AC = BD.",," rectangle","square","rhombus"," all",1
250,"What single discount is equivalent to two successive discounts of 10% and 15%?",,"25%","24%","24.5%"," 23.5%",4
251,"If each of the dimensions of a rectangle is increased by 100%, the area is increased as:",,"100%","200%","300%"," 400%",3
252,"A circular board with a moveable arrow at center is colored with blue, green, red and white. The sector blue and red subtend angles 30º & 60º respectively at center of board. Find the probability that the arrow points on green and white segment.",," 2/4","3/4","2/3","1/4",2
253,"A woman wants to earn Rs.76 a year. How much money must be invested at the rate of 2% to earn her desired amount?",,"Rs.38","Rs.380","Rs.7600","Rs.760",2
254,"What will be the locus of the circle moving in a certain direction in a straight line?",,"sphere","hemisphere"," frustum","cylinder",4
255,"A circle is inscribed in a given square and another circle is circumscribed about the same square. What is the ratio of the area of inscribed to the area of the circumscribed circle",,"1:4","1:2","2:3","3:4",2
256,"A ran from house to school at average speed of 6 miles/hr and returned along the same route at average speed of 4 miles/hr. If total time to run to school and back was 1 hour, how many minutes did it take her to run from house to school?",,"16","20","24","30",3
257,"Three circles are tangent externally to each other and have radii of 2 inches, 3 inches and 4 inches, respectively. How many inches are in the perimeter of the triangle formed by joining the centers of the three circles?",,"9","12","15","18",4
258,"The strength of 20 liter solution is 5%. Then the strength of the additional solution to make 50 liters 8% solution is",,"5","8","10","none",3
259,"The cost of a bicycle including sales tax is Rs.760. If the sales tax is paid at the rate of 10%, find the list price of the cycle.",," Rs.1820","Rs.1600","Rs.1760","Rs.800",4
260,"If 5, x, y, z, 405 are in G.P. then value of z is:",,"45","135","15","None",2
261,"The equation of the locus of a point which moves such that its distance from x-axis is twice the distance from the origin.",,"3x#2 + 4y#2 = 0","4x#2 + 3y#2 = 0","4x#2 - 3y#2 = 0","None",4
262,"If ax = b, by = c, cz = a, then the value of xyz is",,"0","1","2","3",2
264,"A boatman rows 12 miles in 3 hours, against a stream, the rate of stream is 5 miles per hour. What time will be required if he rows 42 miles with the stream.",,"6 hours","3 hours","13 hours","none",3
265,"The distance betweens the lines 3x + 5y = 9 and
6y + 8y = 15 is:",," 3/2","3/10","6","none of these",2
266,"The share of A on distribution of Rs.5200 between A, B, C and D in such a way that B gets one-third of what A gets; C gets half of what B gets and D gets half of what both A and B get is",,"1600","800","2400","none",3
267,"Cosec268#o - Tan222#o is equal to:",,"0","1","–1","none of these",2
268,"If the price of petrol is increased by 25%, then the percentage a man must reduce his consumption so that his expenditure on petrol may increase only 10%.",,"15%","12%","35%","none",2
269,"The equation of a line through (5, -3) parallel to y-axis is",,"y = -3","y = 2","x = 5","x = -3",3
270,"If 5% S.P. of an article is equal to 6% of its C.P. and 8% of S.P. exceeds 9% of C.P. by Rs.4.50. Then the price of article sold is:",,"750","900","1800","none",2
271,"A square matrix A is called singular when is:",,"0","1","–1","none of these",1
272,"The equation x + y = 2 and 2x + 2y = 3 have:",,"unique solution","finitely many solution","no solution","infinite set of solution",3
273,"The point of intersection of perpendicular bisectors of the sides of triangle is:",,"orthocenter","circum centrein centre","in centre","out centre",2
274,"Which one is incorrect for two triangles to be congruent?",,"RHS","SAS","ASA","AAA",4
275,"The distance between 3x+4y = 9 and 6x+8y = 15 is",,"3/10","3/2","6","3/16",1
276,"The area of the triangle with the sides 5cm, 12cm and 13cm is:",,"30cm#2","300cm#2","78cm#2","none of these",1
277,"Equation of line through origin and making an angle 45#o with x-axis is:",,"x – y = 0","x + y = 0",") x = 2y","2x = y",1
279,"If p and q are roots of the equation x#2+pq = (p+1)x then q equal to:",," -1","1","2","-2",2
280,"If 3x + 4y is an odd number, which of the following cannot be true?
(I) x is odd and y is odd
(II) x is even and y is even
(III) x is even and y is odd",,"II and III only","I and II only"," II only","III only",1
281,"If p, q, r are in A.P, x, y, z are in G.P, then xq-r.yr-p.zp-q equals:",,"1","0","-1","1/2",1
282,"If (x - 2) (x + k) = x#2 + mx -10, then mk = -----.",,"20","15","12","–15",2
283,"If 3 sinA + 4cosA = 5 then 3cosA - 4sinA equals",,"3","4","5","0",4
284," If the circumference of a great circle of a sphere is 88 cm then the total surface area of the hemisphere is:",,"2464 cm#2","1848 cm2","2644 cm2","8418 cm2",1
285,"The area of the rectangular plot of land whose one of the sides measures 24 m and length of diagonal is 26 m is:",,"240 m#2"," 420 m2","624 m2","246 m2",1
286,"A and B are two sets such that A = [-1, 3], B = [2, 4] then A-B is:",,"[-1,2]","(-1,2]","[-1,2)","(-1,2)",3
287,"If the two numbers are in the ratio 2:3 and their LCM is 90 then they are:",,"30 & 45","30 & 60","60 & 90","20 & 30",1
288,"The symmetric difference of A = {1,2,3,4,} and
B = {3,4,5,6} is:",,"{1,2}","{3,4}","{5,6}","{1,2,5,6}",4
289,"A man sold an article for Rs945 at 5% profit. What is the CP of the article?",,"Rs845","Rs900"," Rs800","Rs750",2
290,"The equation of the bisectors of the angles between the lines represented by 2x2-6xy-y2 = 0 is",,"x#2+y#2-xy = 0","x#2+xy-y#2 = 0","x2-3xy-y#2 = 0","x#2+y#2 = 0",3
291,"lf x#3 + ax#2- + bx + 1 is divided by x- 2 and x + 3 the remainder are 9 and 19. Find a & b.",,"3, 6","6, 3","-6, 3","3, -6",1
292,"The equation whose roots are the reciprocal of the roots of
x2-x+1 = 0 is:",,"x#2-x+1 = 0","x#2+x+1 = 0","x#2+x-1 = 0"," none",1
293,"For what values of K the equations 2x - 3y = 4
& 2x + ky = 5 will not have unique solution?",,"3","-3","2","-2",2
294,"If A = {1, 2, 4} then the numbers of non-empty proper subset of A is:",,"3","6","7","8",2
295,"The base of a rectangular tank is 12 feet long and 8 feet wide; the height of the tank is 30 inches. If water is pouring into the tank at the rate of 2 cubic feet per second, how many minutes will be required to fill tank?",,"1","2","10","120",4
296,"In what ratio does the point on x-axis divide the segment joining (2, 3) and (0, 5)?",,"5:3","-5:3"," -3:5","3:5",3
297,"Find the value of ab if (a×2) + (a×2#2) + (bx2#3) + (b×2#4) = 42 and if a and b are positive integers.",,"2","3","4","5",2
298,"ABCD is a square and E is the point of intersection of diagonals. What is the least no: of these five points that need to be moved so that all five points lie on circumference of same circle.",,"4","5","3","1",4
299,"If x#2 + y#2 = 2xy, x must be equal to:",,"-1","0","1","y",4
300,"If x, y, 2 and w are consecutive multiples of 6 where x<y<z<w, what is the value of (x – z) (w – y)?",,"144","-36","+36","-144",4
301,"A ran from house to school at average speed of 6 miles/hr and returned along the same route at average speed of 4 miles/hr. If total time to run to school and back was 1 hour, how many minutes did it take A to run from house to school?",,"16","20","24","30",3
302,"For all x, let f(x) = (10-x)#2. If p = f(6), which of the following is equal to 4p?",," f(24)","f(18)","f(12)","f(8)",2
303,"Which of the given function is identity function?",,"f(x) = ax#2+b","f(x) = ax#2+bx","f(x) = ax+b"," none",3
305,"You are given certain volume of iron. You are required to mould it to any shape but you must make the surface area as small as possible. Which structure will you make?",,"cylinder","sphere","cube","cuboid",2
306,"The arithmetic mean of a, b, c & 48 is 24. It was found that by mistake 84 was misread as 48, what was the actual mean?",,"30","31","33","34",3
307,"There are 320 students at school assembly attended by only juniors and seniors. If there were 60 more juniors than seniors and if there were 30 more female juniors than male juniors, how many male juniors were at assembly?",,"70","80","90","none",2
308,"Rectangle of largest possible area, for a given perimeter is:",,"rectangle itself"," triangle","square","pentagon",3
309,"How many arithmetic mean and geometric can be inserted between 1 and 4 in maximum case respectively?",,"1, 1","2, 1","2, 2","Infinite numbers in both cases",4
310,"The value of sinA + sinB + sinC + sinD can’t be:",," 3","4","5","-3",3
311,"If Sec-1x = Cosec-1y, then value of 1/x#2 + 1/y#2 =?",,"0","1","-1","2",2
312,"Suman’s average on 6 subjects was 90 and average on 3 subjects was 100, then average on remaining 3 subjects is:",,"70","85","80","83",3
313,"Let A={ 1,2,4,8}, B={1,3,6,8,9}, C=AUB, D=A?B. If elements x and y are chosen from sets C and D respectively, then what is probability that product of x an y is odd?",,"13/14","3/7","3/14","11/14",3
314,"If b equals 40% of a, then in terms of b, 40% of 4a is equal to which of the following?",,"b/40","b/4","4b","16b",3
315,"If x + 2y = 6, y+2z = 10, z + 2x = 20, then 10 times the arithmetic mean of x, y and z = -----.",,"100","90","120","80",3
316,"2SinASinB =?",,"Cos(A+B) – Cos(A-B)","Cos(A-B) – Cos (A+B)","Sin(A+B) – Sin(A-B)","Sin(A+B) + sin(A-B)",2
317,"The remainder when f(x)=x#3+6x#2–x–30 is divided by x +1 is:",,"25","-22","24","-24",4
318,"If Sin2x = 3Sin2y, then 2tan(x-y) =?",,"tan(x-y)","tan(x+y)","3tan(x-y)","3tan(x+y)",2
319,"In any GP, second term be added to each of three consecutive terms then the resulting terms are in:",,"AP","GP","HP","None",3
320,"Which of the following condition is true for two numbers a and b?",,"AM > HM > GM","GM > AM > HM"," AM > GM > HM","HM > AM > GM",3
321,"If x2 = 16 and y2 = 4, which is the greatest possible value of
(x – y)2?",,"4","16","36"," 12",3
322,"The special name given to matrix where all the elements of main diagonal must be zero is:",,"Null matrix","symmetric matrix","skew–symmetric matrix","both (a) and (c",4
323,"If a root of the equation 4x#2 + kx + 6 = 0 is -2 find the value of k.",,"9","10","11","12",3
324,"The condition for two given lines with slopes m1 and m2 be perpendicular is",,"m1m2 + 1 = 0","m1 = m2","m1 + m2 = 0","m1m2 -1 = 0",1
325,"What is the angle between the lines 3x#2 – 7xy – 3y#2 = 0.",,"0","90","60","45",2
326,"The vectors 2i + 3j – k and -4i – 6j + 2k are:",,"equal","have same magnitude","perpendicular"," parallel",4
327,"Justin’s average (arithmetic mean) on four tests is 80. What grade does he need on his fifth test to raise his average to 84?",,"82","84","92","100",4
328,"The average salary of male employees in a firm was Rs520 and that of females was Rs420. The mean salary of all the employees was Rs500, then percentage of male is:",,"20 %"," 80%","0%","60%",2
329,"If the slope of the joining the points (x, 5) and (-1, 2) is 3/4 then the distance between them is:",,"0"," 5","10","none",2
330,"If 2x = 3y = 6-z, then the value of 1/x + 1/y + 1/z is:",,"0"," 1","2","none",1
331,"Which of the given relation is correctly written for relation between mean, median and mode?",,"mean = 3 median – 2 mode","Mode = 3 median – 2 mean","median = 2 mean – 3 mode","2 mode = 3 median – 2 mean",2
332,"The probability that a boy will get a scholarship is 0.75 and that a girl will get is 0.72. What is the probability that at least one of them will get the scholarship",,"0.93"," 1.47","0.03","1",1
333,"The equation if the circle with centre at (2, 3) and radius 5 is:",,"x#2 + y#2 + 4x + 6y – 12 = 0","x#2 + y#2 - 4x - 6y – 12 = 0",") x#2 + y#2 - 4x - 6y + 12 = 0","x#2 - y#2 - 4x - 6y – 12 = 0",2
334,"The remainder when x#3 + 6x#2 - x - 30 is divided by x - 2 is:",,"0","30","–30","none",1
335,"Given that a:b = 6:12, b:c = 3:5 and c:d = 10:12, Then a:d is:",," 2:3","2:1","1:4","none",3
336,"A radio sells Rs400 then some loss will occurs. If the same sells at Rs500 then profit is 2/3 of loss. Find the cost price of radio?",,"Rs60","Rs400","Rs460","Rs340",3
337,"Any linear function defined on a system of linear inequalities which is to maximize and minimize is called",,"subjective function","boundary function","objective function","one to many function",3
338,"If 8 rupees are worth 15 shillings and 25 shillings are worth 6 dollars, how many dollars are equal to 45 rupees?",,"25","20.25","25.20","none",2
339,"The height of a cone is equal to the radius of its base. The radius of a sphere is equal to the radius of the base of the cone. The ratio of the volume of the cone to the volume of the sphere is:",,"1/3"," 1/4","1/12","1/1",2
340,"If f(x,y) = 2x#2–y#2 and y(x) = 2x, the value of g{f(1,2)} is:",,"1","4","1/4","–4",3
342,"The sum of zeros of f(x) = x#3 - 3x#2 – 4x + 12 is:",,"3","-3","7","none",1
343,"What is the equation of the set of points situated in a plane so that the distance between any point and (0, 0) is twice the distance between that point and the x – axis?",,"3x#2 – y#2 = 0","x#2 – 3y#2 = 0","4x#2 + 3y#2 = 0","x#2 + y#2 – 2y = 0",2
344,"20 students play football and 16 students play hockey. It is found that 10 students play both games. Find the numbers of students playing at least one game.",,"26","36","6","None",1
345,"My salary was first increased by 10% and then decreased by 10%. What is the percentage change in my salary?",,"20%","1%","5%","None",2
346,"The circle whose ends of a diameter be (3, 0) and (7, -1) is:",,"x#2 – y#2 + 10x + y + 21 = 0","x#2 + y#2 + 10x + y + 21 = 0","x#2 + y#2 - 10x + y + 21 = 0","x#2 – y#2 - 10x + y + 21 = 0",3
347,"If 4 kg tea is worth 8 kg of sugar, 5 kg of sugar is worth 12 kg of flour, 7 kg of flour is worth 1 kg of coffee, how many kg of tea is worth 24 kg of coffee?",,"35","24","70","None",1
348,"If n denotes no of roots and m denotes the degree of equation then which of the following relation is true?",,"m = n","m > n","m< n","none",1
349,"If the fourth term of a G.P. is 27 and seventh term is 729, find the common ratio.",," 1"," 27","3","None",3
350,"In a race of 1km, A beats B by 100m, B beats C by 50m and C beats D by 40m. Find by how many meters will A beats D?",," 820.8","179.2","190","None",2
351,"The sum of an odd number and an even number is:",,"sometimes an even","always a prime number","always an odd number","always divisible by 2",3
352,"If a = bc, b = ca and c = ab, then the value of abc is:",," 0","1","2","none",2
353,"The roots of ax#2 + bx + c = 0 are imaginary for:",,"b#2 – 4ac > 0","b#2 – 4ac < 0","b#2 – 4ac < 0","none",1
354,"If SinA + CosecA = 2, then Sin3A + Cosec3A is:",,"8","6"," 4"," 2",4
355,"If (x + 1) times (2x + 1) is an odd integer, then x must be",,"an odd integer","an even integer","a prime number","a composive number",1
356,"If 3x + 2y = 12 and 2x + 3y = 28, what is the arithmetic mean of x and y?",,"2","8"," 4","None",3
357,"Find the value of k so that the equation 2x#2 + kx – 15 = 0 has one root = 3.",,"-4","1","3","-1",4
358,"The H.C.F. and L.C.M. of two numbers are 12 and 240 and if one of the number is 48 find the other number.",,"60","30","120","None",1
359,"Which of the following point is passes through the line whose intercepts on the axes of x and y are respectively -2 and 3?",,"(3, 1)","(2, 6)","(1, 3)","(6, 2)",2
360,"If a = 10x, b – 10y and (ay bx)z = 100, then the value of xyz is",,"100","0","1","None",3
361,"The equation of the line which cuts off intercepts 3 and -5 from y-axis and x-axis is:",,"5x – 3y = 15","5x + 3y = 15","5y – 3x = 15","5y + 3x + 15 = 0",3
362,"A die is thrown once. Determine the probability of getting a number less than or equal to 4.",,"1/2","2/3","1/3","None",2
363,"The centre of the circle whose equation is
x2+y2+4x–6y+4=0 is:",,"(2, 3)","(2, -3)","(-2, 3)","None",3
364,"For what value of k the function f(x) = x#3 + 6x#2 – x – k is divided by x + 1 leaves the remainder -24?",,"30","-30","30","24",2
365,"A circle is inscribed in a given square and another circle is circumscribed about the same square. What is the ratio of the area of the inscribed to the area of circumscribed circle?",,"1:4","2:3","1:2","3:2",3
366,"An equilateral triangle 3 inches on a side is cut up to smaller equilateral triangles one inch on a side. What is the greatest number of such triangles that can be formed?",,"3","6","9","15",3
367,"If each of the dimensions of a rectangle is increased 100%, the area is increased:",,"100%","200%","300%","400 %",3
368,"The fourth proportional to 5, 8 and 16 is:",,"25.6","10","29","None",1
369,"A rectangular sigh is cut down by 10% of its height and 30% of its width. What percentage of the original area remains?",,"30","96","63","51",3
370,"If one angle of a triangle is three times a second angle and third angle is 20 degree more than the second angle, the second angle, in degree is",,"64","32","40","34",2
371,"For all x, let f(x) = (10 – x)#2. If P = f(6) which of the following is equal to 4P?",,"f(24)","f(18)","f(12)"," f(8)",2
372,"If the radius of a circle is increased by 10%, the area of the circle is increased by:",,"10%","21%","100%","None",2
373,"If a, b, c and d are consecutive multiples of 5, where a<b<c<d, what is the value of (a –c) (d –b)?",,"-100","-25","50","None",1
374,"A bag contains 4 black and 3 white balls. A ball is drawn randomly and not replaced then another ball is drawn. The probability of getting two black balls is ---",,"12/42","6/42","8/42","None of these",1
375,"A circular field of diameter 84m is surrounded by a path 7m wide. If the area of the path is 2002m2, then the width of the path is ---",," 7cm","8cm","9cm","None of these",1
376,"A rectangle is cut down by 10% of its height and 30% of its width. What percentage of original area decreases?",,"30%","37%","57%"," 63%",2
377,"A radio sells at Rs.400 then some loss will occur. If same radio sells at Rs.500 then profit is 2/3 of loss, find the cost price of radio?",,"Rs.60","Rs.400","Rs.460","340",3
378,"Which of the relation is correct?",,"mean = 3 median – 2 mode","mode = 3 median – 2 mean","median = 2 mean – 3 mode","2 mode = 3 median – 2 mean",2
379,"If price of petrol is increased by 25%, then percentage a man most reduce his consumption so that his expenditure on petrol may increase only 10% is",,"15%","12%","35%","None",2
380,"The sum of radius of base & height of solid cylinder is 37cm. If total surface area of solid cylinder is 1628 sq cm, find the volume of cylinder.",,"4260","4620","4720","None",2
381,"50 cards are numbered from 1 to 50 and they are kept in a bag. A boy chooses a card randomly. Find the probability that the card number which is divisible by both 3 & 7.",,"1/25"," 2/25","8/25","none",1
382,"For what values of k the equations kx - y = 2, 6x - 2y = 3 has no solution.For what values of k the equations kx - y = 2, 6x - 2y = 3 has no solution.vv",,"k = 3"," k = 3","k = 4","k = - 3",2
383,"A rectangular block of metal weight 3 kg. What will be the weight of the block of the same metal if the edges are twice as large?",,"3/8","3/4","3","24",4
384,"A bag contains 2 red marbles, 3 green marbles, and 4 orange marbles. If a marble is picked at random, what is the probability of that marble not having orange?",,"9/5","5/9","1/9","None",2
385,"The price of an imported car is 8,25,000 which includes a VAT of 10% of the original cost. Find the price of the car before VAT.",,"8,25,000","7,50,000","75,000"," None",2
386,"A refrigerator costs Rs22,288.50 including the VAT. If the price exclusive of VAT be Rs19050, then the percentage of VAT is:",,"17%","15%","34%","None",1
387,"I bought a colour T.V. for Rs.25000 and sold it for Rs.21,000; what percentage I lost?",,"32%","16%","40%","25%",2
388,"Find the slope of the straight line 2x – 3y + 5 = 0.",,"2/3","3/2","5/3","None",1
389,"The vertices of a triangle are (3, 1), (8, 1) and (8, 3). What is the area of this triangle?",,"5","10","20","12",1
390,"What was the original price of a radio that sold for Rs70 during a 20% off sale?",,"Rs84","Rs90","Rs92","Rs87.50",4
391,"Two ships leave from the part at 11:30 AM. If one sails due east at 20 miles per hour and the other due south at 15 miles per hour, how many miles apart are the ships at 2:3pm?",,"25","50","75","80",3
393,"A gasoline tank is 1/4 full. After adding 10 gallons of gasoline, the gauge indicates that the tank is 2/3 full. Find the capacity of tank in gallons.",,"24","20","14","60",1
394,"Tickets numbered from 1 through 50 are placed in a container, and one ticket will be selected at random. What is the probability that the ticket selected will have a number on it divisible by 3?",,"3/50","1/5","3/10","8/25",4
395,"For how many integer values of x will the value of the expression 3x - 4 be an integer greater than 4 and less than 250?",,"86","85","82","83",3
396,"If the diameter of a circle p is 40% of the diameter of circle Q, then the area of circle P is what percent of the area of circle Q?",,"16","20","40","80",1
397,"Three coins are tossed simultaneously. Two of the coins are fair and one is biased so that a head is twice as likely as a tail. The probability that all there up heads",,"1/3","1/6","2/3","None",2
398,"The radius of the circle x#2 + y#2 + 8x – 2y + 13 = 0 is",,"3","4","2","None",3
399,"If 2x#2 – kx + 8 = 0 has equal roots. The value of k is",,"7","6","8","± 8",4
400,"If a and b are the roots of the equation x#2 – px + q = 0. The value of a#2 + b#2 is",,"p – q","p#2 + 2q","p#2","p#2 – 2q",4
401,"The least values of x#2 – 3x + 5 is",,"– 1","0","2","None of these",4
402,"The slant surface of a right pyramid 15 cm high, standing on a square base whose side is 16 cm is s",,"136 cm","1280 cm","272 cm","None",1
403,"If a#x = b, b#y = c = c#z = a, then the value of xyz is equal to",,"2","1","0","-1",2
404,"The angle of a triangle, in ascending order are x, y, z and y – x = z – y = 10° the smallest angle is",,"40°","60°","50°","70°",3
405,"If the system of equations 2x + 4y = 12 and
(m + n) x + 2(m – n) y = 5m – 1 has infinite number of solutions, then the value of m and n are",,"m = 5, n = 1","m = 5, n = 1","m = –1, n = 5","m = n = 1",2
406,"If the numbers p, q, r are in A.P then m#7p, m#7q, m#7r (m > o) are in",,"A.P","G.P","H.P","None",2
407,"If 3x + y + k = 0 is a tangent to the circle x2 + y2 = 10. The value of K a re",,"± 7","± 5","± 10","± 9",3
408,"The market price of a T.V is Rs8, 500. If the shopkeeper allows 20% discount and 13% VAT, how much does a consumer pay for the vat?",,"7684","7864","8764","None",1
409,"The marks obtained 15 students of class 10 in mathematics test of full marks 50 are 42, 33, 24, 27, 18, 25, 26, 37, 48, 20, 10, 17 19, 30, 35, 36, which of following is the 3rd quartile?",,"32","26","36","19",3
410,"Sin#2 17.5° + sin#2 72.5° is equal to",,"cos#2 90°","tan#2 45°","cos#2 30°","sin#2 45°",2
411,"If ABC is a tangent at point B of the circle with c centre at O and Ë DBC = 120°, find the value of x",,"110°","120°","60°","None",2
412,"If 3/11 of a number is 22, what is 6/11 of that number?",,"11","12","33","44",4
413,"if 7a = 3 and 3b = 7, what is the value of a/b?",,"3/7","9/49","1","49/9",2
414,"If 3/4 of the employees in a supermarket are not graduates, what is the ratio of the number of college graduates to those who are not college graduates?",," 1:3","3:7","3:4","4:3",1
415,"Gilda can grade t tests in 1/x hours. At this rate, how many tests can she grade in x hours?",,"tx"," tx#2","1/t","x/t",2
416,"If 4 boys can solve a driveway in 2 hours. How many minutes will it take 5 boys to do the job?",,"60","96","120","150",2
417,"If two dice are thrown together, what is the probability of getting sum of 9 or 11?",,"5/6","1/6","7/6","1/18",2
418,"If x + y = 6, y + z = 7, z + x = 9, what is the average (AM) of x, y and z?",,"11/3","11/2","22/3","11",1",2
476,"He was made --- the shoes.",,"polish","for polishing","to polish","none",3
477,"She is used to --- alone.",,"stay","staying","stayed","stays",2
291,"Which of the following oxide imparts the green colour in the glass?",,"PbO","Cr$2O$3","Fe$2O$3","ZnO","2"
292,"Froth floatation is the process of concentration of which of the ores?",,"Oxide","Sulphide","Carbonate","Sulphate","2"
293,"Which of the following is known as philosophers wool?",,"ZnSO$4.7H$2O","ZnO","FeSO$4.7H$2O","FeO","2"
294,"The rxn NH$4 CNO NH$2 – CO – NH$2 is of the type:",,"Oxidation –reduction","Isomerization","Neutralization","Analysis","2"
295,"Who is the father of chemistry?",,"Dalton","Berzellius","Lavosier","None","3"
296,"Formalin is used as:",,"Disinfectant reagent","Preservation of biological specimens","Both a and b","None","3"
297,"Monomer of Bakelite plastic is:",,"phenol + formaldehyde","carbolic acid + Acetaldehyde","phenol + ethyl alcohol","None","1"
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