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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420,"I asked two people the way to the station but --- of them knew.",,"none","either","both","nither",4
421,"They gave me a form and told me to ---.",,"fill in","fill it in","fill in it","all",2
422,"Andy Warhol was --- in the Pop Art movement who was known for his multi-image silkscreen paintings.",,"that one of a leading figure","a leading figure","leading figures","who leads figures",2
423,"Even with vast research, there is still a great deal that is --- known about the working of the human brain.",,"neither","none","no","not",4
424,"Typically, --- in meadows or damp woods and bloom in the spring.",,"wild violets grow","wild violets growth","growing wild violets","the growth of wild violets",1
425,"--- fish in Great Salt Lake, but its waters do contain small brain shrimp.",,"Who no","No","Not only","There are no",4
426,"Seldom --- games been of practical use in playing real games.",,"theories of mathematics","theorized as mathematics","has the mathematical theory of","the mathematical theory has",3
427,"The United States consists of fifty states, --- has its own government.",,"each of which","each they","they each","each of",1
428,"The decimal number system is one of the --- ways of expressing numbers.",,"useful most world's","world's most useful","useful world's most","most world's useful",2
429,"Not only --- to determine the depth of the ocean floor, but it is also used to locate oil.",,"to use seismology","is seismology used","seismology is used","using seismology",2
452,"The problem of population must be --- studied before we can overcome it.",,"commendably","primarily","adequately","virulently",3
453,"They have not spoken to each other --- they quarreled.",,"by","from","since","none of them",3
454,"If you make a promise, you must be sure to --- it.",,"follow","keep","succeed","accomplish",2
455,"Each of the members --- contributed --- part so far.",,"has, their","have, their","has, her","have, his",3
456,"He delayed --- the decision.",,"to make","in making","making","make",3
457,"None of the students --- happy at the moment.",,"is","are being","is being","none",1
458,"There is a bird on the tree,---?",,"isn’t it","isn’t there","is it","both b & c",2
459,"She dances better than ---.",,"I do","I","me","myself",2
460,"They’d better drink coffee,---?",,"wouldn’t he","didn’t he","had he not","hadn’t they",4
461,"They reached --- their destination in time.",,"to","at","on","none",4
462,"It’s --- who broke the ice.",,"I","me","mine","myself",1
463,"Who is the man --- asked the question?",,"who","which","that","whom",1
464,"Forgive us --- our sins.",,"for","with","on","none",4
465,"He is a bit too boring. I’d rather he --- come.",,"doesn't","don't","hadn't","didn't",4
466,"It is important that he --- everything taught.",,"listens to","listens","listen to","listened",3
467,"Hardly -- remember the accident that nearly took his sister’s life.",,"he does","does he","he doesn’t","both a & b",2
468,"He helped me --- the problem.",,"to sort out","sort out","in sorting out","both a & b",4
469,"This is a good book,---?",,"isn’t it","isn’t this","is this","is it",1
470,"They drank --- his health.",,"for","with","in","to",4
471,"I’ll go ahead with the work --- it suits me or not.",,"if","although","however","whether",4
472,"--- her sorrow, she is helpful.",,"Despite","Notwithstanding","sensuous","sensual",4
473,"--- the hijackers were whisked off to FBI.",,"Having been apprehended","Having apprehended","Being apprehended","Apprehending",1
474,"The --- students went to sleep during the --- lecture",,"bored, boring","boring, boring","bored, bored","boring, bored",1
475,"Five and five --- ten.",,"makes","make","does make","both a & c419,"If 1/a + 1/b = 1/c and ab = c, what is the average of a and b?",,"0","1/2","1","(a+b)/2c",3
420,"If c#2 + d#2 = 4 and (c –d)#2 = 2. What is the value of cd?",,"1","2","2","4",1
421,"If x = 3a + 7 and y = 9a#2, what is y in tern of x?",,"(x – 7)#2","3(x – 7)#2"," (x - 7)#2/3","(x + 7)#2/3",1
422,"If 64#12 = 2#a-3, what is the value of a?",,"9","15","72","75",4
423,"Ram is now three times as old as Sita but 5 years ago, she was 5 times as old as he was. How old is Ram now?",,"10","12","30","36",3
424,"What is the largest prime factor of 255?",,"5","15","17","51",3
426,"What is 10% of 20% of 30%?",,"0.006%","0.6%","6%","60%",2
427,"On a test consisting of 80 questions, Eve answered 75% of the first 60 questions correctly. What percent of the other 20 questions does she need to answer correctly for her grade on the entire exam to be 80%?",,"85%","87.5%","90%","95%",4
429,"How many possible circles of given radius can be drawn touching both axes OX and OY?",,"1","2","3","4",4
430,"The remainder obtained when the polynomial x#64 + x#27 + 1 is divided by x + 1 is ---",,"0","2","1","-1",3
431,"The system x + y = 2, 2x + 2y = 3 have ---",,"a unique solution","finitely many solutions","no solution","none of these",3
432,"The probability that a boy will get a scholarship is 0.75 and that a girl will get a 0.72. The probability that at least one of them will get the scholarship is ---",,"0.75","0.93","0.93","0.54",2
433,"The graph of less then and more then cumulative frequency distribution intersect at ---",,"Mean","Median","Mode","Range",2
434,"The new ratio obtained by taking cube root is given ratio is called ---",,"Duplicate ratio","Sub-duplicate ratio","Triplicate ratio","Sub-triplicate ratio",4
435,"If a matrix A is symmetric as well as skew-symmetric matrix, then A is ---",,"Scalar matrix","Diagonal matrix","Null matrix","Unit matrix",3
436,"The nth term of AP is (2n-1), then the sum upto n terms is ---",,"n(n+1)/2","n#2","n#2 + 1","4n#2 + 1",2
437,"The point of intersection of perpendicular bisectors of the sides of a triangle is ---",,"Circumcentre","Centroid","Orthocentre","Incentre",1
438,"The value of cos0°.cos1°.cos2°. --- cos179° =",,"0","1","-1","None",1
439,"By how many degrees does the angle formed by the hour hand and the minute hand of a clock increase from 1:27 to 1:28?",,"6","5","5.5","59.5",3
440,"Ram's average on four tests is 80. What grade does he need on his fifth test to raise his average to 84?",,"82","84","96","100",4
441," For a symmetrical distribution, which of the following relation is true?",,"Mean = Median = Mode","Mean>Median>Mode","Mean<Median<Mode","Mean>Median<Mode",1
442," In a race of 1Km, A beats B by 100m, B beats C by 50m and C beats D by 40m, how many metre will A beats D?",,"190m","10m","820m","179.2m",1
443,"The single discount of two successive discount 10% and 5% is",,"15%","5%","14.5%","None",3
444,"A sum doubles itself in 5 years by compound interest. How long will it take to be 4 times the sum?",,"10 yrs","9.2 yrs","8 yrs","more than 10 yrs",1
445,"If 9th term of AP is equal to zero, then 29#th term of AP is twice the term ---",,"11#th","13#th","19#th","14#th",3
446,"If sinx + siny = a, cosx + cosy = b, then sin(x+y) is equal to ---",,"2ab/(a#2-b#2)","2ab/(a#2+b#2)","ab/(a#2-b#2)","(a#2+b#2)ab",2
447,"Which of the following is the value of K for the line 2x + 3y = K = 0 forming a triangle with axes OX and OY of area 27 sq. unit?",,"±6","±18","±12","±24",2
448,"How many possible circles of given radians can be drawn touching both axes and the line x = c?",,"1","2","3","4",2
449,"If S$n denotes the sum of n terms of an AP, then its common difference is given by",,"S$n – S$(n-1) – S$(n-2)","S$(n – 3)S$(n-1) – 2S$(n-2)","S$(n + 2)S$(n-1) – S$(n-2)","S$(n – 2)S$(n-1) + S$(n-2)",4
450,"If Tan#-1x + Tan#-1y + Tan#-1z = n then x + y + z is equal to",,"1","xyz","2xyz","None",2
451,"If ax#2 + (a-3)x + 4a = 0 has equal roots then integer value of a is equal to",,"2","-1","4","5",2
452,"The points A(-3,-1), B(1,3) & C(-1,1) are",,"Vertices of a right angle","Vertices of isosceles triangle","Vertices of equilateral triangle","Collinear",4
453,"The inverse of a diagonal matrix is",,"Scalar matrix","Unit matrix","Diagonal matrix","None",3
454,"The no. of proper sub set of set of order n is",,"2#n","2#n -1","2#n – 2","none",2
454,"If f(x) and g(x) are function then which of the following is true?",,"(fog)#-1 = f#-1og#-1","(gof)#-1 = gof#1","(fog)#-1 = gof#1","(fog)#-1 = g#1of#1",4
455,"If Tanx = KTany, then (K – 1)Sin(x+y) = ---",,"(K+1)Sin(x-y)","(K-1)Sin(x+y)","(K+1)#2Sin(x-y)","(K-1)#2Sin(x+y)",1
456,"If quartile(Q) divides the data in 3 parts, decile (D) divides the data into 5 parts & percentile (P) divides data into 100 parts, then median (M) = ---",,"M = Q$2 (Second quartile)","M = D$5 (Fifth decile)","M = P$50 (Fifty percentile)","All",4
457,"The average of eight numbers is 20 and average of 5 numbers is 14. What is average of other 3 numbers?",,"14","17","30","40",3
458,"90% and 97% pure acid solutions are mixed to obtain 21 litres of 95% pure acid solution. Find the amount of 90% pure acid solution required?",,"6 litres","15 litres","12 litres","3 litres",1
459,"What is the greater area enclosed by 100 m rope?",,"10,000 m#2","625 m#2","2000 m#2","4000 m#2",2
460,"The probability of getting 5 Sunday in a month is equal to",,"1/7","1/4","2/7","3/7",3
461,"The sum of the first 100 natural numbers is",,"5000","5050","5005","None",2
462,"Find the original cost of a machine 2 years ago if its present worth is Rs.15,870 and yearly rate of depreciation is 8%.",,"Rs.18750","Rs.2880","Rs.13433","Rs.2438",1
362,"The profit of 35% is made when an article is sold for $12. At what price in rupees the article should be sold to make a profit of 40%? (Given $1 = Rs.72)",,"Rs.567","Rs.986","Rs.896","Rs.869",3
363,"My salary was first increased by 10% and then decreased by 10%. What is the total percentage change in my salary?",,"Increased by 1%","Decreased by 1%","No change","Increased by 20%",2
364,"If 50#100 = K(100#50), what is the value of the K?",,"2#50","25#50","50#50","(1/2)#50",2
365,"If (a+b+c) (b+c-a) = 3bc, then",,"A = 60°","B = 60°","A = 45°","A = 30°",1
366,"One root of the equation 5x#2 + 13x + K = 0 is the reciprocal of other if",,"K = 0","K = 5","K = 1/5","K = -5",2
367,"The equations x + y = 2 and 2x + 2y = 3 have",,"Unique solution","Finitely many solutions","No solutions","Two solutions",3
368,"The second degree general equation ax#2 + 2bxy + by#2 + 2gx + 2fy + c = 0 represents a circle if",,"h#2 = ab","a = b, h = 0","a + b = 0","abc + 2fgh – af#2 – bg#2 – ch#2 = 0",2
369,"If A#T + A = 0, then A is",,"Symmetric","Skew-symmetric","Upper triangular","Lower triangular",2
370,"Two points A and B are 45 feet apart on a level stretch of road leading to a hill. The angle of elevation of the hill-top from A is 30o and from B is 45o. Find how high the hill extends above the road.",,"38.97 feet","45 feet","37.46 feet","22.5 feet",1
371,"For what value of K the equation 2x2 + 7xy + 3y2 – 4x – 7y + K = 0 represents two straight lines",,"-3","2","3","None",2
372,"What is the measure of the angle formed by the minute and hour hands of a clock at 1:50?",,"90°","105°","115°","120°",3
373,"If a:b = 3:5 and a:c = 5:7, what is the value of b:c?",,"3:7","21:35","21:25","25:21",4
374,"For the first 100 miles of his trip, Ram drove at 50 miles per hour, and then due to construction delays, he drove at only 40 miles per hour for the next 120 miles. What was his average speed, in miles per hour, for the entire trip?",,"88 miles/hr","44 miles/hr","176 miles/hr","80 mils/hr",2
375,"The condition in the quadratic equation ax2 + bx + c = 0 such that one root is zero is",,"a = 0","b = 0","c = 0","b = c",3
376,"When 2x#3 + 3x#2 – kx + 4 is divided by (x-2), the remainder is 2k, then the value of k is",,"6","8","7","9",2
377,"Log$a(x#p) is equal to",,"plog$ax","log$a(px)","lgo$p#ax","None",1
1,"In a fourth proportion, the product of extremes is equal to",,"Product of all the four","Product of the means.","Product of the first and the fourth","Product of the first and the third",2
2,"After paying an income tax of 5%, a man has Rs7600 left. What is his income?",,"Rs. 800","Rs. 8000","Rs. 4000","Rs. 16000",2
3,"A garrison of 960 men has food enough to last for 65 days. How many men should be sent away so that the provision may last for 120 days?",,"440","520","630","None",1
4,"Find the fourth proportion to 6, 18 and 5.",,"18","6","5","None",4
5,"In a race of 1km, A beats B by 20m and B beats C by 50m. By how much does A beat C?",,"70 m","35 m","69 m","80 m",3
6,"If r is the radius, h the vertical height and l the slant height of a cone then l2 is equal to:",,"r#2-h#2","h#2-r#2","r#2+h#2","1/3(r#2+h#2)",3
7,"Find the area of the triangle whose sides are 3cm, 4cm, and 5cm.",,"25cm","6cm","8cm","10cm",2
8,"If the radius of the sphere is made half, then the radius of the volumes of the new sphere to that of original sphere is equal to:",,"8:1","5:2","7:3","None",4
9,"A semi circle of radius 143 is bent into a conical cup, find the volume of the cup.",,"3423cm#2","4323cm#3","2343cm#3","3234cm#3",4
10,"The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator is eight times the numerator. Find the fraction.",,"7/3","3/4","5/3","None",4
11,"If the length of sides of a cuboid is reduced to half, its surface area becomes:",,"1/4","1/3","Half","Double",1
12,"If the radius of a sphere is doubled, its volume becomes ----- the original volume.",,"16 times","4 times","8 times","Double",3
13,"A boy is 3 years older than his sister. Two years ago the sum of their ages was 19. How old is the boy now?",,"13 years","12 years","11 years","10 years",1
14,"Divide Rs81 among A, B and C so that, B may get Rs7 more than A and C gets Rs6 less then twice A's share",,"20, 40, 20","30, 10, 40","50, 10, 20","20, 27, 34",4
15,"In a two digit number, the unit's digit is twice the ten's digit. If the digits are reversed, the new number is 27 more than the original number. Find the number",,"63","18","36","72",3
16,"The total surface area of cuboid with dimension l, b and h is:",,"2(lb+bh+lh)","(lb+bh+lh)","1/2(lb+bh+lh)"," lbh",1
17,"Find the area of a square that can be inscribed in a circle of radius 5cm.",,"25cm#2","12.5cm#2","16cm#2","50cm#2",4
18,"The diagonals of a quadrilateral ABCD intersect at right angles and if AB = 70, CD = 3cm. Find BC#2 + DA#2.",,"10cm","100cm","58cm","None",4
19,"The roots of the equation 2x#2- 6x = 0 are:",,"1, 3","0, 3","3, 3","3, 1/3",2
20,"The square root of 1+2x#2+x#4 = 0 are:",,"± (1+x#2)","± (1+x#4)","± (1+2x#2)","± (1+x#2)",1
21,"The L.C.M. and H.C.F of the two numbers are 840 and 14 respectively and if one of the numbers is 42 then the other number is:",,"84","280","868","42",2
22,"A man bought an article for Rs.1 and sold it for Rs.1.20. What is the gain percent?",,"12%","20%","1.2%","10%",2
23,"If SinA + CosecA = 2, then Sin#3A + Cosec#3A is:","Mathsv","8","6","4","2",4
24,"What is the common ratio of the geometric progression 1, 0.1, 0.01, 0.001?",,"10","1/100","1/10","1",3
25,"The simplified form of (27)#4/3 is:",,"9","999","88","81",4
26,"In a triangle ABC, a = 3cm, b = 4cm and c = 5cm then the area of the triangle is:",,"12cm#2","6cm#2","10cm#2","15cm#2",2
27,"If one angle of a triangle is equal to the sum of the other two, then the triangle is:",,"Isosceles","Equilateral","Rt. Angled","None",3
28,"Which term of the progression 2, 4, 6, 8 is 98?",,"48","46","50","49",4
29,"If CosA = 3/5 and A lies in the fourth quadrant, then tanA is:",,"4/3","-4/3","4/5","-4/2",4
30,"If x = 9 is a solution of the equation x#2-a = 0, which of the following is a solution of x4 - a = 0?",,"-18","-3","0","9",2
31,"At a speed of 48 miles per hour, how many minutes will be required to drive 32 miles?",,"40","45","50","2400",1
32,"What is the area of a rectangle whose length is twice its width to whose perimeter is equal to that of a square?",,"2/3","8/9","18/5","Cannot be determined",4
33,"A jar contains 10 red marbles and 30 green ones. How many red marbles should be added to the jar so that 60% of the marbles will be red?",,"45","35","50","70",2
34,"George drove 8 miles west, 6 miles north, 3 miles east and 6 more miles north. How far was George from his starting point?",,"13","17","19","21",1
35,"If 3x+2y = 11 and 2x+3y = 17, what is the arithmetic mean of x and y?",,"2.5","2.8","5.6","1.4",2
36,"A storeowner received a shipment of books. On Tuesday he sold half of the, on Wednesday after two more were sold, he had 2/5 of the books left. How many books were there in the shipment?",,"10","20","30","35",2
37,"If the average of 2, 7 and x is 12. What is the value of x?",,"9","21","12","27",4
38,"If the sum of five consecutive odd integers is 735. What is the largest of these integers?",,"150","155","145","151",4
39,"What is the largest prime factor of 1001?",,"11","7","13","101",3
40,"If a-b =1; b-c = 2 and c-a = d, find the value of d.",,"-3","-1"," 1","3",1
41,"25% of 220 equals 5.5% of W. What is the value of W?",,"100","101","55","1000",4
42,"If the sum of three consecutive integers is less than 75, what is the greatest possible value of the smallest of the three integers?",,"22","23","24","25",2
43,"4/7 of the 350 students of INTEL Institute are girls, 7/8 of the girls got admission in St. Xavier's College, how many girls did not get admission in St. Xavier's?",,"None","220","200","240",1
44,"How many positive integers less then 100 have remainder 3 when divided by 7?",,"12"," 9","10"," 13",2
45,"What is the smallest number that is divisible by both 34 and 35?",,"1","34","35","1190",4
46,"If 3#x x 3#y = 3#100, what is the arithmetic mean of x and y?",,"50","100","25","200",1
47,"If 2#x = 32, what is x#3?",,"25","5","50","125",4
48,"If 50#100 = k (100#50), what is the value of the k?",,"250"," 2550","50#50","None",4
49,"A cube has an edge of four inches long. If the edge is increased by 25%, then how much the volume will be increased approximately?",,"25%","48%","73%","95%",4
50,"For what value of x is 8#(2x-4) = 16#x?",,"6","2","3","8",1
51,"The average of 10 numbers is -10. If the sum of six of them is 100, what is the average of the other four?",,"-100","0","-50","100",3
52,"What fraction of a week is 98 hours?",,"7/24","24/98","7/12","4/7",3
53,"A gallon of water is equal to 231 cubic inches. How many gallons of water are needed to fill a tank of dimension 11"" high, 14"" long and 9"" wide?",,"6","8","9","14",1
54,"The water level of a swimming pool of size 75' × 42' is to be increased by 4'. How many cubic feet of water to be added to accomplish this?",,"140","31,500","1050","1450",3
55,"A pool is filled to 3/4 of its capacity. 1/9 of the water get evaporated. The capacity of the pool is 24,000 gallons when it is full. How many gallons of water are to be added to fill the pool?",,"8,000","6,000","12,000","18,000",1
56,"If the length of a rectangle is increased by 30% and the altitude is decreased by 20%, then its area is increased by",,"4%","5%","10%","25%",3
57,"If the radius of a circle is increased by 10%, then the radius of the circle is increased by:",,"121%","100%","10%","16%",3
58,"The average temperatures for five days were 82#o, 86#o, 91#o, 79#o, 91o. What is the median of these temperatures?",,"82","86","84","91",2
59,"The ratio of the length to breadth of a rectangle is 8:5 and the breadth is 15 cm; calculate the length.",," 24cm","18cm","8/5 cm","5/8cm",1
60,"If 2! means 2 × 3 and 3! means 3 × 4, what is the value of 7! + 8!?",,"4,032","392","128","56",3
61,"For which values of x will x(x+2) (x+3) (x+4) will be equal to zero?",,"0","0, -1, -3, -4","0, 2, 3, 4"," -1, -2, -3, -4",1
62,"What is the compound interest on Rs.8000 for 2 years at the rate of 6% per annum?",,"987","898","988.80","889.80",3
63,"Find the value of x in the expression 3#x-5 x 5#x-4 = 5.",,"6","7","3.5","5",4
64,"A hostel of 51 students has food enough for 12 days. For how many days the food would loss if 17 more students join the hostel?",,"18","12","9","15",3
65,"How long will 16 men take to finish a work which 12 men can do in 20 days?",,"12","18","20","15",4
66,"Find the value of x in 4#x – 4#x-1 = 192.",,"16","5","12","4",4
67,"Find the value of a, b, c in the expression 2#a.3#b.11#c=2376.",,"2, 3, 4","1, 2, 3","2, 2, 1","3, 3, 1",4
68,"What is the locus formed when a circle moves in a certain direction with certain velocity?",,"Circle","Sphere","Cylinder","Cone",3
69,"If the sum and product of two natural numbers are 7 and 78 respectively, find the two numbers.",,"–13, -16","–6, 13","6, -13","None",4
70,"Find the distance of the chord of length 8cm from the center of a circle of radius 5cm.",,"4cm","5cm","3cm","3.5cm",3
71,"A married man earns Rs.1, 50,000 per annum. His total allowances are Rs.90,000. Find his monthly salary after the deduction of income tax at the rate of 15%.",,"17,150","11,705","15,170","11,750",4
72,"The curve surface area of a right circular cone is 2310cm2 and the radius of the base is 21cm, then the slant height of the cone is:",,"53cm","35cm","42cm","24cm",2
73,"The area of a regular hexagon inscribed in a circle of a radius 6cm is:",,"93.53","35.93","95","59",1
74,"What is the number whose 65% is 91?",,"140","91","182","104",1
75,"Due to an increment of 20%, my salary now is Rs.18660. Find my previous salary.",,"None","Rs.14670","Rs.6740","Rs.15000",1
76,"In a basket of 35 apples, 7 of them are rotten, find the percentage of good ones.",,"75%","60%","80%","28%",3
77,"My salary was first increased by 10% and then decreased by 10%. What is the total percentage change in my salary?",,"2.2%","1.5%","1%","3%",3
78,"When the rate of income tax is increased from 10% to 15%, I have to pay Rs.835 more. Find my income.",,"16,700","16,600","16700","15,500",1
79,"What is the cost of a bag of maize containing 30kg, if selling at Rs.19 per kg, a loss of 5% is made?",,"Rs.60","Rs.600","Rs.300","Rs.600",2
80,"In a town of 500 families, families use Colgate toothpaste, 65% of the families use Everest toothpaste, how many percent of the families use both the brands?",,"20%","25%","23%"," None",4
81,"If an article is sold for Rs.184 at a profit of 15%. What is the percentage of gain or loss if it was sold for Rs.168?",,"10%","12%","15%","5%",4
82,"Find the value of k so that the equation 2x#2+kx-15 = 0 has one root = 3.",,"– 4","1","3","– 1",4
83,"If A & B are two sets and if n (A) = 35 n (B) = 48; n (AUB) = 63, find n (AnB).",,"25","20","83","15",2
84,"If A = {a,b,c}; B = {1,2,3,4}, find n (AnB).",,"It can’t be determined","Ø","3","2",1
85,"If A = {1,2,3,4,5}; B = {3,4,5,6}. Find n(A-B).",,"2","3","5","4",1
86,"The triangle formed by joining the points (12, 8), (-2, 6) and (6, 0) is:",,"Scalene","Right-angled","Isosceles","Equilateral",2
87,"The area of the triangle formed by the line joining the points (6, 4), (- 3, 1) and (0, 2) is:",,"Zero","2.7","3.5","None",1
88,"Two vertices of a triangle are at (5, 9) and (-4, 1). Find the third vertex if the medians meet at (1, 1).",,"(7, 2)","(2,-7)","(1, 7)","(4,-2)",2
89,"If the vertices of a triangle are (2, 0), (4, 4) and (6, 2). Find the centroid of the triangle.",,"(4, 1)","(1, 5)","(4, 2)","(-2, 3)",3
90,"If the two sides of a right-angled triangle are 5 and 12, then find the length of the median that bisect the hypotenuse.",,"13","6","2.6","6.5",4
91,"If (2, 6), (3, 8) and (-1, y) lie on a straight line, find the value of y.",,"0","10","3","2",1
92,"Find the area of the quadrilateral whose vertices are (2,1), (-1, 3), (-3, -1) and (3, -4).",,"22","21.5","21","20",4
93,"In the following values, find the arithmetic mean of the median and mode.
31, 25, 20, 18, 35, 60, 27, 40, 20, 43",,"24.5","29","49","20",1
94,"Find the angle between the lines 3x – y + 2 = 0 and x + 3y + 4 = 0 is:
and x + 3y + 4 = 0 is:",," 90#o","45#o","30#o","60#o",1
95,"A sales person receives a salary of Rs100 a week and a commission of 5%on all sales. What must be the amount of sales for a week in which the salesperson total weekly income is Rs360?",,"Rs6,200","Rs5,200","Rs2,600","Rs720",2
96,"The diagonal of a rectangle is 10. What is the area of the rectangle?",,"can no determine from given information.","24","50","100",1
97,"What is the smallest positive number, other than 2, which, when it is divided by 3, 4 or 5, will leave a remainder of 2?",,"62","42","80","182",4
98,"Amman travels 320 miles in 8 hours. If he continues at the same rate, how many miles will he travel in the next 2 hours?",,"1280","1820","80","20",3
99,"If 3 copier machines can copy 300 sheets in 3 hours, assuming the same rate, how long (in hours) will take 6 such copiers to copy 600 sheet?",,"3","6","9","18",2
100,"A suit marked at Rs80 is sold for Rs68.what is the rate of discount?",,"12%","15%","20%","24%",2
101,"What single discount is equivalent to two successive discounts of 10% and 15%?",,"25%","24%","24.5%"," 23.5%",4
102,"The difference of two numbers is -7 and the difference of their squares is 7. They are:",,"(-4, 3)","(4, 3)","(-4, -3)","(-5, -2)",1
103,"A rectangular sign is cut down by 10% of height and 30% of its width. What percent of the original area remains?",," 63","57","37","30",1
104,"If a, a + 1, a + 3 are in GP then a = -----.",,"2","4","1","3",3
105,"If x is an integer and 3x + 11 is even, which of the following must be even?",,"x","x + 1","x#2","2x + 1",3
106,"The elements of a 3 × 4 matrix [aij] is given by
aij = 2i - 3j - 1 then the common element for 2nd row and 3rd column is:",,"-1","1","23","6",4
107,"If m#4 + n#4 = 0, what is the value of 9m-5n?",,"9","5","4","0",4
108,"The lines kx – ay + 7 = 0 and bx - 2ay + 8 = 0 will be perpendicular if k = -----.",,"2a/b","3a/b#2","2a#2/b","4a#2/b",3
109,"The product of six integers is negative, and then at most how many of the six integers could be negative?",,"six","five","four","three",3
110,"A fraction is equivalent to 2/3. If its numerator is decreased by 2 and its denominator is increased by 3, the new fraction is equivalent to 1/3. What is the original fraction?",,"2/3","4/6","6/9","9/6",2
111,"The lines 3x – y – 5 = 0 & x + 2y – 4 = 0 meet at the points.",,"(1, -2)"," (2, 1)","(-2, -1)"," (-2, -1)",2
112,"Ram's average for seven-month exams is 89%. What percents must he score on the next exam to raise his average to 90%?",," 1%","97%","10%","None of the above",2
113,"Bob is older than Jane, but he is younger than Jim. If Bob's age is b. Jane's age is c and Jim's age is d, then which of the following is true?",,"c < b< d","b < c < d","b < d < c","c <d < b",1
114,"The greatest number of diagonals that can be drawn from one vertex of a regular 6- sided polygon is:",,"2","3","4","5",2
115,"If one angle of a triangle is equal to the sum of the other two, then the triangle is:",,"isosceles","equilateral","right angled"," equiangular",3
116,"How many different outfits can be obtained from 5 shirts, 3 pairs of slacks, and 3 sports jackets?",,"45","13","11","denote of the above",1
117,"If the radius of a circle is decreased by 30%, by what percent will the area of the circular region be decreased?",,"15%"," 49%","51%","60%",3
118,"The angle of the quadrilateral is in the ratio 0f 2:3:4:6. What is the degree measure of its largest angle?",,"150#o","90#o","144#o","72#o",3
119,"If the diameter of the circle R is 30% of the diameter of circle, the area of circle R is what percent of the area of circles?",,"9%","15%","30%","60%",1
120,"If (2, 6), (3, 8) and (-1, y) lie on a straight line, find the value of y.",,"10","–5","2"," 0",4
121,"Triangles formed into the same base and small parallel lines have the area",,"Double"," Equal","Not equal","Half",2
122,"From the following values, find the arithmetic mean of the median and mean 31, 25, 20, 18, 35, 60, 27, 40, 20, 43.",,"29","20","24.5","29.5",3
123,"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 cube feet per second, how many minutes will be required to fill tank?",,"1","2","10","120",4
124,"If (x +1) times (2x + 1) is an odd integer, then x must be:",,"an odd integer","an even integer","a prime number","a composite number",2
125,"A square 4 inches on a side is cut up into smaller squares 1 inch on a side what is the maximum number of such squares that can be formed?",,"4","8","16"," 64",3
126,"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",2
127,"What is 0.25% of 12?",,"3/100","3/10","1/3","300",2
128,"If 2A = 3B = 4C then A:B:C is:",,"2:3:4","4:3:2","6:4:3"," 3:4:2",3
129,"Find the two-digit number whose tens digit when multiplied by 3 equals the sum of the digits, and the number that is obtained by reversing the digits is 54 less then the product of 4 and the original number is:",,"42","24","33","44",2
130,"If there are two containers of sugar solution; the first is 4 percent and the second 8 percent. How much of each should we combine to get 40 gallons of a 5 percent solution?",,"(20, 20)","(10, 30)","(30, 10)","(15, 25)",3
131,"The equation x#2 + k$1y#2 + k#2xy = 0 represent a pair of perpendicular lines if:",," k$1 = -1","k#1 = 2k#2","2k$1 = 2k#2","none",1
132,"Find the value of a, b, c, in the expression
2a.3b.11c = 2376.",,"2, 3, 4","1, 2, 3","2, 2, 1","3, 3, 1",4
133,"Roshan can see up to 14km far. The area of land that he can see around is:",,"612sqkm","614sqkm","651sqkm","616sqkm",4
134,"he angle between the lines 3x – y + 2 = 0
and x + 3y + 4 = 0 is: he angle between the lines 3x – y + 2 = 0
and x + 3y + 4 = 0 is:",,"0","45°","60 °","90°",4
135,"What will be the quadratic equation in x when roots have their AM as A and GM as G?",,"x2 + 2Ax + G2 = 0","x2 + G2x + A = 0","x#2 - 2Ax + G2 = 0","x2 – 2Ax – G2 = 0",3
136,"Two vertices of a triangle are at (5, 9) and (-4, 1). Find the third vertex if the medians meet at (1, 1).",,"(7, 2)","(2, - 7)","(1, 7)","(4, - 2)",2
137,"Which of the following is the correct identity?",,"(AB)T = ATBT","(AB)T = BTAT","(AB)T = ABT","None of these",2
138,"My salary was first increased by 10% and then decreased by 10%. What is the total percentage change in my salary?",,"20%","1%","5%","1.5%",2
139,"Which of the following is the distance between
3x + 4y = 6 and 6x + 8y = 15?",," 3/2","6","3/10","None of these",3
140,"The square root of 0.01 is ----- to 0.01The square root of 0.01 is ----- to 0.01",,"less","equal","greater","twice",3
141,"If f(x + 1) = x + 2, then f(x – 1) is",," 2","x","x + 1","x - 1",3
142,"A pool is filled to 3/4 of its capacity. 1/9 of the water get evaporated. The capacity of the pool is 24,000 gallons when it full. How many gallons of water should be added to fill the pool?",,"8,000","6,000","12,000","18,000",1
143,"If a, b, c, are in GP and a1/x = b1/y = c1/z then x, y, z are in",,"AP","GP"," HP","None",1
144,"The L.C.M and H.C.F of the two numbers are 840 and 14 respectively and if one of the numbers is 42 then the other number is:",,"84","280","868","42",2
145,"If Sin? + Cos? = 1, then the value of Sin2? is:",,"0","1","1/2","2",1
146,"What is the least positive number x for which
Cos (30° - x) = Sin (45° + 2x)?",,"30","20","60","15",4
147,"If a = bc, b = ca, c = ab, then abc is equal to:",,"0"," 2","1","3",3
148,"How many points are in the graph of the solution set of the system?
2x - y - 1 = 0
x2 + y2 = 9",,"0","1","2","3",3
149,"The area of triangle which vertices (a, b + c), (b, c + a) &
(c, a + b) is:",,"0","a + b + c","ab + bc + ca","1",3
150,"What is the minimum value that f(x) can attain if f(x) = 2x#2 + 8x - 1?",,"-1","- 8","9"," - 9",1
151,"If A = {1, 2, 3, 4}, B = {3. 4, 5, 6} then A triangle B is:",,"{1, 2}","{1, 2, 3, 4, 5, 6}","{1, 2, 5, 6}","None",3
152,"A pyramid and a prism have equal altitudes and bases of equal area. What is the ratio of their volumes?",,"1/2","1/3","1/4","1/6",2
153,"Set A consists of all multiples of 4 between 50 and 65. Set B consists of all multiples of 3 between 50 and 65. What are possible numbers of the element of the set A – B?",,"2","4","3","1",1
154,"The points (at1#2,2at$1), (at2#2,2at$2) and (a,0) are collinear if:",,"t$1t$2 = 1","t$1t$2 = -1","t$1 = t$2","none",2
155,"If A, B, C are the angles of a triangle and Cot A + CotB + CotC = root 3 then the triangle is:",,"equilateral","Isosceles","Right angled"," None",1
156,"George scored an average of 80% on three tests. What score must he get on the fourth test to bring his average to 85%?",," 85%","90%","95%","100%",2
157,"If A = {1, 2, 3, 4}, B = {3. 4, 5, 6} then A trangle B is:",,"{1, 2}","{1, 2, 3, 4, 5, 6}","{1, 2, 5, 6}","None",3
158,"When the rate of income tax is increased from 10% to 15%, I have to pay Rs.835 more. Find my income.",,"Rs.16700","Rs.16600","Rs.10000","Rs.83500",1
159,"If W be a complex cube root of unity, then the value of
(1-w+w2) (1+w-w2) is:",,"0","1","3","4",4
160,"20% of what number is equal to 2/3 of 90?",,"30","120","600","300",4
161,"One tap gives 200 liters of water in 20 minutes, another tap throws all the water in 25 minutes. If both the taps are open together, how much water is collected n 20 minutes?",,"10 lt","2 lt.","20 lt.","40 lt.",4
162,"The ruts of 2x#2 - 6x + 7 = 0 are:",,"Real, equal","Real, unequal","Imaginary","None",1
163,"The equation of the bisectors of the angles between the lines represented by 2x#2 - 6xy - y#2 = 0 is:",,"x#2 – xy + y#2 = 0","x#2 + xy - y#2 = 0","x#2 – xy - y#2 = 0","none",2
164,"If a solid metal sphere of radius 1 foot is melted and recast to form spheres of radius, 1 inch, how many of these smaller spheres can be made?",,"36","144","1432","1728",4
165,"The derivative of Sin (ax#2 + b) is:",,"2axCos (ax#2+b)","Cos (ax#2+b)","2xCos (ax#2+b)","(ax#2+b)",1
166,"Equation of the line through origin and perpendicular to 2x + 3y + 6 = 0 is:",,"2x + 3y + 6 = 0","3x + 2y + 6 = 0","3x + 4y = 0","3x - 2y = 0",4
167,"If (2, 6), (3, 8) and (-1, y) lie on a straight line, find the value of y.",," 0","10","2","-5",1
168,"The system of the equation 3x - 4y = 1 and 6x - 8y = 7 is",,"Consistent and dependent","Inconsistent and independent","Consistent and dependent","None",2
169,"Ram drove 8 miles west, 6 miles north, 3 miles east and 6 miles north. How for was Ram from his starting point?",,"17","13","19","21",2
170,"The orthocenter of the triangle whose sides are
4x - 7y + 10 = 0, 7x + 4y = 15, x + y = 5 is:",,"(2, 1)","(-1, 2)","(1, 2)","None",1
171,"A sum doubles itself in 5 years by compound interest. How much time will it take to be 4 times the sum?",,"8 years","20 years"," 7 years","10 years",3
172,"If 3x + 2y = 8 and 2x + 3y = 12, what is the arithmetic mean of x and y.",,"2","3","4","can’t determine",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.
___________________________________
420,"I asked two people the way to the station but --- of them knew.",,"none","either","both","nither",4
421,"They gave me a form and told me to ---.",,"fill in","fill it in","fill in it","all",2
422,"Andy Warhol was --- in the Pop Art movement who was known for his multi-image silkscreen paintings.",,"that one of a leading figure","a leading figure","leading figures","who leads figures",2
423,"Even with vast research, there is still a great deal that is --- known about the working of the human brain.",,"neither","none","no","not",4
424,"Typically, --- in meadows or damp woods and bloom in the spring.",,"wild violets grow","wild violets growth","growing wild violets","the growth of wild violets",1
425,"--- fish in Great Salt Lake, but its waters do contain small brain shrimp.",,"Who no","No","Not only","There are no",4
426,"Seldom --- games been of practical use in playing real games.",,"theories of mathematics","theorized as mathematics","has the mathematical theory of","the mathematical theory has",3
427,"The United States consists of fifty states, --- has its own government.",,"each of which","each they","they each","each of",1
428,"The decimal number system is one of the --- ways of expressing numbers.",,"useful most world's","world's most useful","useful world's most","most world's useful",2
429,"Not only --- to determine the depth of the ocean floor, but it is also used to locate oil.",,"to use seismology","is seismology used","seismology is used","using seismology",2
452,"The problem of population must be --- studied before we can overcome it.",,"commendably","primarily","adequately","virulently",3
453,"They have not spoken to each other --- they quarreled.",,"by","from","since","none of them",3
454,"If you make a promise, you must be sure to --- it.",,"follow","keep","succeed","accomplish",2
455,"Each of the members --- contributed --- part so far.",,"has, their","have, their","has, her","have, his",3
456,"He delayed --- the decision.",,"to make","in making","making","make",3
457,"None of the students --- happy at the moment.",,"is","are being","is being","none",1
458,"There is a bird on the tree,---?",,"isn’t it","isn’t there","is it","both b & c",2
459,"She dances better than ---.",,"I do","I","me","myself",2
460,"They’d better drink coffee,---?",,"wouldn’t he","didn’t he","had he not","hadn’t they",4
461,"They reached --- their destination in time.",,"to","at","on","none",4
462,"It’s --- who broke the ice.",,"I","me","mine","myself",1
463,"Who is the man --- asked the question?",,"who","which","that","whom",1
464,"Forgive us --- our sins.",,"for","with","on","none",4
465,"He is a bit too boring. I’d rather he --- come.",,"doesn't","don't","hadn't","didn't",4
466,"It is important that he --- everything taught.",,"listens to","listens","listen to","listened",3
467,"Hardly -- remember the accident that nearly took his sister’s life.",,"he does","does he","he doesn’t","both a & b",2
468,"He helped me --- the problem.",,"to sort out","sort out","in sorting out","both a & b",4
469,"This is a good book,---?",,"isn’t it","isn’t this","is this","is it",1
470,"They drank --- his health.",,"for","with","in","to",4
471,"I’ll go ahead with the work --- it suits me or not.",,"if","although","however","whether",4
472,"--- her sorrow, she is helpful.",,"Despite","Notwithstanding","sensuous","sensual",4
473,"--- the hijackers were whisked off to FBI.",,"Having been apprehended","Having apprehended","Being apprehended","Apprehending",1
474,"The --- students went to sleep during the --- lecture",,"bored, boring","boring, boring","bored, bored","boring, bored",1
475,"Five and five --- ten.",,"makes","make","does make","both a & c419,"If 1/a + 1/b = 1/c and ab = c, what is the average of a and b?",,"0","1/2","1","(a+b)/2c",3
420,"If c#2 + d#2 = 4 and (c –d)#2 = 2. What is the value of cd?",,"1","2","2","4",1
421,"If x = 3a + 7 and y = 9a#2, what is y in tern of x?",,"(x – 7)#2","3(x – 7)#2"," (x - 7)#2/3","(x + 7)#2/3",1
422,"If 64#12 = 2#a-3, what is the value of a?",,"9","15","72","75",4
423,"Ram is now three times as old as Sita but 5 years ago, she was 5 times as old as he was. How old is Ram now?",,"10","12","30","36",3
424,"What is the largest prime factor of 255?",,"5","15","17","51",3
426,"What is 10% of 20% of 30%?",,"0.006%","0.6%","6%","60%",2
427,"On a test consisting of 80 questions, Eve answered 75% of the first 60 questions correctly. What percent of the other 20 questions does she need to answer correctly for her grade on the entire exam to be 80%?",,"85%","87.5%","90%","95%",4
429,"How many possible circles of given radius can be drawn touching both axes OX and OY?",,"1","2","3","4",4
430,"The remainder obtained when the polynomial x#64 + x#27 + 1 is divided by x + 1 is ---",,"0","2","1","-1",3
431,"The system x + y = 2, 2x + 2y = 3 have ---",,"a unique solution","finitely many solutions","no solution","none of these",3
432,"The probability that a boy will get a scholarship is 0.75 and that a girl will get a 0.72. The probability that at least one of them will get the scholarship is ---",,"0.75","0.93","0.93","0.54",2
433,"The graph of less then and more then cumulative frequency distribution intersect at ---",,"Mean","Median","Mode","Range",2
434,"The new ratio obtained by taking cube root is given ratio is called ---",,"Duplicate ratio","Sub-duplicate ratio","Triplicate ratio","Sub-triplicate ratio",4
435,"If a matrix A is symmetric as well as skew-symmetric matrix, then A is ---",,"Scalar matrix","Diagonal matrix","Null matrix","Unit matrix",3
436,"The nth term of AP is (2n-1), then the sum upto n terms is ---",,"n(n+1)/2","n#2","n#2 + 1","4n#2 + 1",2
437,"The point of intersection of perpendicular bisectors of the sides of a triangle is ---",,"Circumcentre","Centroid","Orthocentre","Incentre",1
438,"The value of cos0°.cos1°.cos2°. --- cos179° =",,"0","1","-1","None",1
439,"By how many degrees does the angle formed by the hour hand and the minute hand of a clock increase from 1:27 to 1:28?",,"6","5","5.5","59.5",3
440,"Ram's average on four tests is 80. What grade does he need on his fifth test to raise his average to 84?",,"82","84","96","100",4
441," For a symmetrical distribution, which of the following relation is true?",,"Mean = Median = Mode","Mean>Median>Mode","Mean<Median<Mode","Mean>Median<Mode",1
442," In a race of 1Km, A beats B by 100m, B beats C by 50m and C beats D by 40m, how many metre will A beats D?",,"190m","10m","820m","179.2m",1
443,"The single discount of two successive discount 10% and 5% is",,"15%","5%","14.5%","None",3
444,"A sum doubles itself in 5 years by compound interest. How long will it take to be 4 times the sum?",,"10 yrs","9.2 yrs","8 yrs","more than 10 yrs",1
445,"If 9th term of AP is equal to zero, then 29#th term of AP is twice the term ---",,"11#th","13#th","19#th","14#th",3
446,"If sinx + siny = a, cosx + cosy = b, then sin(x+y) is equal to ---",,"2ab/(a#2-b#2)","2ab/(a#2+b#2)","ab/(a#2-b#2)","(a#2+b#2)ab",2
447,"Which of the following is the value of K for the line 2x + 3y = K = 0 forming a triangle with axes OX and OY of area 27 sq. unit?",,"±6","±18","±12","±24",2
448,"How many possible circles of given radians can be drawn touching both axes and the line x = c?",,"1","2","3","4",2
449,"If S$n denotes the sum of n terms of an AP, then its common difference is given by",,"S$n – S$(n-1) – S$(n-2)","S$(n – 3)S$(n-1) – 2S$(n-2)","S$(n + 2)S$(n-1) – S$(n-2)","S$(n – 2)S$(n-1) + S$(n-2)",4
450,"If Tan#-1x + Tan#-1y + Tan#-1z = n then x + y + z is equal to",,"1","xyz","2xyz","None",2
451,"If ax#2 + (a-3)x + 4a = 0 has equal roots then integer value of a is equal to",,"2","-1","4","5",2
452,"The points A(-3,-1), B(1,3) & C(-1,1) are",,"Vertices of a right angle","Vertices of isosceles triangle","Vertices of equilateral triangle","Collinear",4
453,"The inverse of a diagonal matrix is",,"Scalar matrix","Unit matrix","Diagonal matrix","None",3
454,"The no. of proper sub set of set of order n is",,"2#n","2#n -1","2#n – 2","none",2
454,"If f(x) and g(x) are function then which of the following is true?",,"(fog)#-1 = f#-1og#-1","(gof)#-1 = gof#1","(fog)#-1 = gof#1","(fog)#-1 = g#1of#1",4
455,"If Tanx = KTany, then (K – 1)Sin(x+y) = ---",,"(K+1)Sin(x-y)","(K-1)Sin(x+y)","(K+1)#2Sin(x-y)","(K-1)#2Sin(x+y)",1
456,"If quartile(Q) divides the data in 3 parts, decile (D) divides the data into 5 parts & percentile (P) divides data into 100 parts, then median (M) = ---",,"M = Q$2 (Second quartile)","M = D$5 (Fifth decile)","M = P$50 (Fifty percentile)","All",4
457,"The average of eight numbers is 20 and average of 5 numbers is 14. What is average of other 3 numbers?",,"14","17","30","40",3
458,"90% and 97% pure acid solutions are mixed to obtain 21 litres of 95% pure acid solution. Find the amount of 90% pure acid solution required?",,"6 litres","15 litres","12 litres","3 litres",1
459,"What is the greater area enclosed by 100 m rope?",,"10,000 m#2","625 m#2","2000 m#2","4000 m#2",2
460,"The probability of getting 5 Sunday in a month is equal to",,"1/7","1/4","2/7","3/7",3
461,"The sum of the first 100 natural numbers is",,"5000","5050","5005","None",2
462,"Find the original cost of a machine 2 years ago if its present worth is Rs.15,870 and yearly rate of depreciation is 8%.",,"Rs.18750","Rs.2880","Rs.13433","Rs.2438",1
362,"The profit of 35% is made when an article is sold for $12. At what price in rupees the article should be sold to make a profit of 40%? (Given $1 = Rs.72)",,"Rs.567","Rs.986","Rs.896","Rs.869",3
363,"My salary was first increased by 10% and then decreased by 10%. What is the total percentage change in my salary?",,"Increased by 1%","Decreased by 1%","No change","Increased by 20%",2
364,"If 50#100 = K(100#50), what is the value of the K?",,"2#50","25#50","50#50","(1/2)#50",2
365,"If (a+b+c) (b+c-a) = 3bc, then",,"A = 60°","B = 60°","A = 45°","A = 30°",1
366,"One root of the equation 5x#2 + 13x + K = 0 is the reciprocal of other if",,"K = 0","K = 5","K = 1/5","K = -5",2
367,"The equations x + y = 2 and 2x + 2y = 3 have",,"Unique solution","Finitely many solutions","No solutions","Two solutions",3
368,"The second degree general equation ax#2 + 2bxy + by#2 + 2gx + 2fy + c = 0 represents a circle if",,"h#2 = ab","a = b, h = 0","a + b = 0","abc + 2fgh – af#2 – bg#2 – ch#2 = 0",2
369,"If A#T + A = 0, then A is",,"Symmetric","Skew-symmetric","Upper triangular","Lower triangular",2
370,"Two points A and B are 45 feet apart on a level stretch of road leading to a hill. The angle of elevation of the hill-top from A is 30o and from B is 45o. Find how high the hill extends above the road.",,"38.97 feet","45 feet","37.46 feet","22.5 feet",1
371,"For what value of K the equation 2x2 + 7xy + 3y2 – 4x – 7y + K = 0 represents two straight lines",,"-3","2","3","None",2
372,"What is the measure of the angle formed by the minute and hour hands of a clock at 1:50?",,"90°","105°","115°","120°",3
373,"If a:b = 3:5 and a:c = 5:7, what is the value of b:c?",,"3:7","21:35","21:25","25:21",4
374,"For the first 100 miles of his trip, Ram drove at 50 miles per hour, and then due to construction delays, he drove at only 40 miles per hour for the next 120 miles. What was his average speed, in miles per hour, for the entire trip?",,"88 miles/hr","44 miles/hr","176 miles/hr","80 mils/hr",2
375,"The condition in the quadratic equation ax2 + bx + c = 0 such that one root is zero is",,"a = 0","b = 0","c = 0","b = c",3
376,"When 2x#3 + 3x#2 – kx + 4 is divided by (x-2), the remainder is 2k, then the value of k is",,"6","8","7","9",2
377,"Log$a(x#p) is equal to",,"plog$ax","log$a(px)","lgo$p#ax","None",1
1,"In a fourth proportion, the product of extremes is equal to",,"Product of all the four","Product of the means.","Product of the first and the fourth","Product of the first and the third",2
2,"After paying an income tax of 5%, a man has Rs7600 left. What is his income?",,"Rs. 800","Rs. 8000","Rs. 4000","Rs. 16000",2
3,"A garrison of 960 men has food enough to last for 65 days. How many men should be sent away so that the provision may last for 120 days?",,"440","520","630","None",1
4,"Find the fourth proportion to 6, 18 and 5.",,"18","6","5","None",4
5,"In a race of 1km, A beats B by 20m and B beats C by 50m. By how much does A beat C?",,"70 m","35 m","69 m","80 m",3
6,"If r is the radius, h the vertical height and l the slant height of a cone then l2 is equal to:",,"r#2-h#2","h#2-r#2","r#2+h#2","1/3(r#2+h#2)",3
7,"Find the area of the triangle whose sides are 3cm, 4cm, and 5cm.",,"25cm","6cm","8cm","10cm",2
8,"If the radius of the sphere is made half, then the radius of the volumes of the new sphere to that of original sphere is equal to:",,"8:1","5:2","7:3","None",4
9,"A semi circle of radius 143 is bent into a conical cup, find the volume of the cup.",,"3423cm#2","4323cm#3","2343cm#3","3234cm#3",4
10,"The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator is eight times the numerator. Find the fraction.",,"7/3","3/4","5/3","None",4
11,"If the length of sides of a cuboid is reduced to half, its surface area becomes:",,"1/4","1/3","Half","Double",1
12,"If the radius of a sphere is doubled, its volume becomes ----- the original volume.",,"16 times","4 times","8 times","Double",3
13,"A boy is 3 years older than his sister. Two years ago the sum of their ages was 19. How old is the boy now?",,"13 years","12 years","11 years","10 years",1
14,"Divide Rs81 among A, B and C so that, B may get Rs7 more than A and C gets Rs6 less then twice A's share",,"20, 40, 20","30, 10, 40","50, 10, 20","20, 27, 34",4
15,"In a two digit number, the unit's digit is twice the ten's digit. If the digits are reversed, the new number is 27 more than the original number. Find the number",,"63","18","36","72",3
16,"The total surface area of cuboid with dimension l, b and h is:",,"2(lb+bh+lh)","(lb+bh+lh)","1/2(lb+bh+lh)"," lbh",1
17,"Find the area of a square that can be inscribed in a circle of radius 5cm.",,"25cm#2","12.5cm#2","16cm#2","50cm#2",4
18,"The diagonals of a quadrilateral ABCD intersect at right angles and if AB = 70, CD = 3cm. Find BC#2 + DA#2.",,"10cm","100cm","58cm","None",4
19,"The roots of the equation 2x#2- 6x = 0 are:",,"1, 3","0, 3","3, 3","3, 1/3",2
20,"The square root of 1+2x#2+x#4 = 0 are:",,"± (1+x#2)","± (1+x#4)","± (1+2x#2)","± (1+x#2)",1
21,"The L.C.M. and H.C.F of the two numbers are 840 and 14 respectively and if one of the numbers is 42 then the other number is:",,"84","280","868","42",2
22,"A man bought an article for Rs.1 and sold it for Rs.1.20. What is the gain percent?",,"12%","20%","1.2%","10%",2
23,"If SinA + CosecA = 2, then Sin#3A + Cosec#3A is:","Mathsv","8","6","4","2",4
24,"What is the common ratio of the geometric progression 1, 0.1, 0.01, 0.001?",,"10","1/100","1/10","1",3
25,"The simplified form of (27)#4/3 is:",,"9","999","88","81",4
26,"In a triangle ABC, a = 3cm, b = 4cm and c = 5cm then the area of the triangle is:",,"12cm#2","6cm#2","10cm#2","15cm#2",2
27,"If one angle of a triangle is equal to the sum of the other two, then the triangle is:",,"Isosceles","Equilateral","Rt. Angled","None",3
28,"Which term of the progression 2, 4, 6, 8 is 98?",,"48","46","50","49",4
29,"If CosA = 3/5 and A lies in the fourth quadrant, then tanA is:",,"4/3","-4/3","4/5","-4/2",4
30,"If x = 9 is a solution of the equation x#2-a = 0, which of the following is a solution of x4 - a = 0?",,"-18","-3","0","9",2
31,"At a speed of 48 miles per hour, how many minutes will be required to drive 32 miles?",,"40","45","50","2400",1
32,"What is the area of a rectangle whose length is twice its width to whose perimeter is equal to that of a square?",,"2/3","8/9","18/5","Cannot be determined",4
33,"A jar contains 10 red marbles and 30 green ones. How many red marbles should be added to the jar so that 60% of the marbles will be red?",,"45","35","50","70",2
34,"George drove 8 miles west, 6 miles north, 3 miles east and 6 more miles north. How far was George from his starting point?",,"13","17","19","21",1
35,"If 3x+2y = 11 and 2x+3y = 17, what is the arithmetic mean of x and y?",,"2.5","2.8","5.6","1.4",2
36,"A storeowner received a shipment of books. On Tuesday he sold half of the, on Wednesday after two more were sold, he had 2/5 of the books left. How many books were there in the shipment?",,"10","20","30","35",2
37,"If the average of 2, 7 and x is 12. What is the value of x?",,"9","21","12","27",4
38,"If the sum of five consecutive odd integers is 735. What is the largest of these integers?",,"150","155","145","151",4
39,"What is the largest prime factor of 1001?",,"11","7","13","101",3
40,"If a-b =1; b-c = 2 and c-a = d, find the value of d.",,"-3","-1"," 1","3",1
41,"25% of 220 equals 5.5% of W. What is the value of W?",,"100","101","55","1000",4
42,"If the sum of three consecutive integers is less than 75, what is the greatest possible value of the smallest of the three integers?",,"22","23","24","25",2
43,"4/7 of the 350 students of INTEL Institute are girls, 7/8 of the girls got admission in St. Xavier's College, how many girls did not get admission in St. Xavier's?",,"None","220","200","240",1
44,"How many positive integers less then 100 have remainder 3 when divided by 7?",,"12"," 9","10"," 13",2
45,"What is the smallest number that is divisible by both 34 and 35?",,"1","34","35","1190",4
46,"If 3#x x 3#y = 3#100, what is the arithmetic mean of x and y?",,"50","100","25","200",1
47,"If 2#x = 32, what is x#3?",,"25","5","50","125",4
48,"If 50#100 = k (100#50), what is the value of the k?",,"250"," 2550","50#50","None",4
49,"A cube has an edge of four inches long. If the edge is increased by 25%, then how much the volume will be increased approximately?",,"25%","48%","73%","95%",4
50,"For what value of x is 8#(2x-4) = 16#x?",,"6","2","3","8",1
51,"The average of 10 numbers is -10. If the sum of six of them is 100, what is the average of the other four?",,"-100","0","-50","100",3
52,"What fraction of a week is 98 hours?",,"7/24","24/98","7/12","4/7",3
53,"A gallon of water is equal to 231 cubic inches. How many gallons of water are needed to fill a tank of dimension 11"" high, 14"" long and 9"" wide?",,"6","8","9","14",1
54,"The water level of a swimming pool of size 75' × 42' is to be increased by 4'. How many cubic feet of water to be added to accomplish this?",,"140","31,500","1050","1450",3
55,"A pool is filled to 3/4 of its capacity. 1/9 of the water get evaporated. The capacity of the pool is 24,000 gallons when it is full. How many gallons of water are to be added to fill the pool?",,"8,000","6,000","12,000","18,000",1
56,"If the length of a rectangle is increased by 30% and the altitude is decreased by 20%, then its area is increased by",,"4%","5%","10%","25%",3
57,"If the radius of a circle is increased by 10%, then the radius of the circle is increased by:",,"121%","100%","10%","16%",3
58,"The average temperatures for five days were 82#o, 86#o, 91#o, 79#o, 91o. What is the median of these temperatures?",,"82","86","84","91",2
59,"The ratio of the length to breadth of a rectangle is 8:5 and the breadth is 15 cm; calculate the length.",," 24cm","18cm","8/5 cm","5/8cm",1
60,"If 2! means 2 × 3 and 3! means 3 × 4, what is the value of 7! + 8!?",,"4,032","392","128","56",3
61,"For which values of x will x(x+2) (x+3) (x+4) will be equal to zero?",,"0","0, -1, -3, -4","0, 2, 3, 4"," -1, -2, -3, -4",1
62,"What is the compound interest on Rs.8000 for 2 years at the rate of 6% per annum?",,"987","898","988.80","889.80",3
63,"Find the value of x in the expression 3#x-5 x 5#x-4 = 5.",,"6","7","3.5","5",4
64,"A hostel of 51 students has food enough for 12 days. For how many days the food would loss if 17 more students join the hostel?",,"18","12","9","15",3
65,"How long will 16 men take to finish a work which 12 men can do in 20 days?",,"12","18","20","15",4
66,"Find the value of x in 4#x – 4#x-1 = 192.",,"16","5","12","4",4
67,"Find the value of a, b, c in the expression 2#a.3#b.11#c=2376.",,"2, 3, 4","1, 2, 3","2, 2, 1","3, 3, 1",4
68,"What is the locus formed when a circle moves in a certain direction with certain velocity?",,"Circle","Sphere","Cylinder","Cone",3
69,"If the sum and product of two natural numbers are 7 and 78 respectively, find the two numbers.",,"–13, -16","–6, 13","6, -13","None",4
70,"Find the distance of the chord of length 8cm from the center of a circle of radius 5cm.",,"4cm","5cm","3cm","3.5cm",3
71,"A married man earns Rs.1, 50,000 per annum. His total allowances are Rs.90,000. Find his monthly salary after the deduction of income tax at the rate of 15%.",,"17,150","11,705","15,170","11,750",4
72,"The curve surface area of a right circular cone is 2310cm2 and the radius of the base is 21cm, then the slant height of the cone is:",,"53cm","35cm","42cm","24cm",2
73,"The area of a regular hexagon inscribed in a circle of a radius 6cm is:",,"93.53","35.93","95","59",1
74,"What is the number whose 65% is 91?",,"140","91","182","104",1
75,"Due to an increment of 20%, my salary now is Rs.18660. Find my previous salary.",,"None","Rs.14670","Rs.6740","Rs.15000",1
76,"In a basket of 35 apples, 7 of them are rotten, find the percentage of good ones.",,"75%","60%","80%","28%",3
77,"My salary was first increased by 10% and then decreased by 10%. What is the total percentage change in my salary?",,"2.2%","1.5%","1%","3%",3
78,"When the rate of income tax is increased from 10% to 15%, I have to pay Rs.835 more. Find my income.",,"16,700","16,600","16700","15,500",1
79,"What is the cost of a bag of maize containing 30kg, if selling at Rs.19 per kg, a loss of 5% is made?",,"Rs.60","Rs.600","Rs.300","Rs.600",2
80,"In a town of 500 families, families use Colgate toothpaste, 65% of the families use Everest toothpaste, how many percent of the families use both the brands?",,"20%","25%","23%"," None",4
81,"If an article is sold for Rs.184 at a profit of 15%. What is the percentage of gain or loss if it was sold for Rs.168?",,"10%","12%","15%","5%",4
82,"Find the value of k so that the equation 2x#2+kx-15 = 0 has one root = 3.",,"– 4","1","3","– 1",4
83,"If A & B are two sets and if n (A) = 35 n (B) = 48; n (AUB) = 63, find n (AnB).",,"25","20","83","15",2
84,"If A = {a,b,c}; B = {1,2,3,4}, find n (AnB).",,"It can’t be determined","Ø","3","2",1
85,"If A = {1,2,3,4,5}; B = {3,4,5,6}. Find n(A-B).",,"2","3","5","4",1
86,"The triangle formed by joining the points (12, 8), (-2, 6) and (6, 0) is:",,"Scalene","Right-angled","Isosceles","Equilateral",2
87,"The area of the triangle formed by the line joining the points (6, 4), (- 3, 1) and (0, 2) is:",,"Zero","2.7","3.5","None",1
88,"Two vertices of a triangle are at (5, 9) and (-4, 1). Find the third vertex if the medians meet at (1, 1).",,"(7, 2)","(2,-7)","(1, 7)","(4,-2)",2
89,"If the vertices of a triangle are (2, 0), (4, 4) and (6, 2). Find the centroid of the triangle.",,"(4, 1)","(1, 5)","(4, 2)","(-2, 3)",3
90,"If the two sides of a right-angled triangle are 5 and 12, then find the length of the median that bisect the hypotenuse.",,"13","6","2.6","6.5",4
91,"If (2, 6), (3, 8) and (-1, y) lie on a straight line, find the value of y.",,"0","10","3","2",1
92,"Find the area of the quadrilateral whose vertices are (2,1), (-1, 3), (-3, -1) and (3, -4).",,"22","21.5","21","20",4
93,"In the following values, find the arithmetic mean of the median and mode.
31, 25, 20, 18, 35, 60, 27, 40, 20, 43",,"24.5","29","49","20",1
94,"Find the angle between the lines 3x – y + 2 = 0 and x + 3y + 4 = 0 is:
and x + 3y + 4 = 0 is:",," 90#o","45#o","30#o","60#o",1
95,"A sales person receives a salary of Rs100 a week and a commission of 5%on all sales. What must be the amount of sales for a week in which the salesperson total weekly income is Rs360?",,"Rs6,200","Rs5,200","Rs2,600","Rs720",2
96,"The diagonal of a rectangle is 10. What is the area of the rectangle?",,"can no determine from given information.","24","50","100",1
97,"What is the smallest positive number, other than 2, which, when it is divided by 3, 4 or 5, will leave a remainder of 2?",,"62","42","80","182",4
98,"Amman travels 320 miles in 8 hours. If he continues at the same rate, how many miles will he travel in the next 2 hours?",,"1280","1820","80","20",3
99,"If 3 copier machines can copy 300 sheets in 3 hours, assuming the same rate, how long (in hours) will take 6 such copiers to copy 600 sheet?",,"3","6","9","18",2
100,"A suit marked at Rs80 is sold for Rs68.what is the rate of discount?",,"12%","15%","20%","24%",2
101,"What single discount is equivalent to two successive discounts of 10% and 15%?",,"25%","24%","24.5%"," 23.5%",4
102,"The difference of two numbers is -7 and the difference of their squares is 7. They are:",,"(-4, 3)","(4, 3)","(-4, -3)","(-5, -2)",1
103,"A rectangular sign is cut down by 10% of height and 30% of its width. What percent of the original area remains?",," 63","57","37","30",1
104,"If a, a + 1, a + 3 are in GP then a = -----.",,"2","4","1","3",3
105,"If x is an integer and 3x + 11 is even, which of the following must be even?",,"x","x + 1","x#2","2x + 1",3
106,"The elements of a 3 × 4 matrix [aij] is given by
aij = 2i - 3j - 1 then the common element for 2nd row and 3rd column is:",,"-1","1","23","6",4
107,"If m#4 + n#4 = 0, what is the value of 9m-5n?",,"9","5","4","0",4
108,"The lines kx – ay + 7 = 0 and bx - 2ay + 8 = 0 will be perpendicular if k = -----.",,"2a/b","3a/b#2","2a#2/b","4a#2/b",3
109,"The product of six integers is negative, and then at most how many of the six integers could be negative?",,"six","five","four","three",3
110,"A fraction is equivalent to 2/3. If its numerator is decreased by 2 and its denominator is increased by 3, the new fraction is equivalent to 1/3. What is the original fraction?",,"2/3","4/6","6/9","9/6",2
111,"The lines 3x – y – 5 = 0 & x + 2y – 4 = 0 meet at the points.",,"(1, -2)"," (2, 1)","(-2, -1)"," (-2, -1)",2
112,"Ram's average for seven-month exams is 89%. What percents must he score on the next exam to raise his average to 90%?",," 1%","97%","10%","None of the above",2
113,"Bob is older than Jane, but he is younger than Jim. If Bob's age is b. Jane's age is c and Jim's age is d, then which of the following is true?",,"c < b< d","b < c < d","b < d < c","c <d < b",1
114,"The greatest number of diagonals that can be drawn from one vertex of a regular 6- sided polygon is:",,"2","3","4","5",2
115,"If one angle of a triangle is equal to the sum of the other two, then the triangle is:",,"isosceles","equilateral","right angled"," equiangular",3
116,"How many different outfits can be obtained from 5 shirts, 3 pairs of slacks, and 3 sports jackets?",,"45","13","11","denote of the above",1
117,"If the radius of a circle is decreased by 30%, by what percent will the area of the circular region be decreased?",,"15%"," 49%","51%","60%",3
118,"The angle of the quadrilateral is in the ratio 0f 2:3:4:6. What is the degree measure of its largest angle?",,"150#o","90#o","144#o","72#o",3
119,"If the diameter of the circle R is 30% of the diameter of circle, the area of circle R is what percent of the area of circles?",,"9%","15%","30%","60%",1
120,"If (2, 6), (3, 8) and (-1, y) lie on a straight line, find the value of y.",,"10","–5","2"," 0",4
121,"Triangles formed into the same base and small parallel lines have the area",,"Double"," Equal","Not equal","Half",2
122,"From the following values, find the arithmetic mean of the median and mean 31, 25, 20, 18, 35, 60, 27, 40, 20, 43.",,"29","20","24.5","29.5",3
123,"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 cube feet per second, how many minutes will be required to fill tank?",,"1","2","10","120",4
124,"If (x +1) times (2x + 1) is an odd integer, then x must be:",,"an odd integer","an even integer","a prime number","a composite number",2
125,"A square 4 inches on a side is cut up into smaller squares 1 inch on a side what is the maximum number of such squares that can be formed?",,"4","8","16"," 64",3
126,"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",2
127,"What is 0.25% of 12?",,"3/100","3/10","1/3","300",2
128,"If 2A = 3B = 4C then A:B:C is:",,"2:3:4","4:3:2","6:4:3"," 3:4:2",3
129,"Find the two-digit number whose tens digit when multiplied by 3 equals the sum of the digits, and the number that is obtained by reversing the digits is 54 less then the product of 4 and the original number is:",,"42","24","33","44",2
130,"If there are two containers of sugar solution; the first is 4 percent and the second 8 percent. How much of each should we combine to get 40 gallons of a 5 percent solution?",,"(20, 20)","(10, 30)","(30, 10)","(15, 25)",3
131,"The equation x#2 + k$1y#2 + k#2xy = 0 represent a pair of perpendicular lines if:",," k$1 = -1","k#1 = 2k#2","2k$1 = 2k#2","none",1
132,"Find the value of a, b, c, in the expression
2a.3b.11c = 2376.",,"2, 3, 4","1, 2, 3","2, 2, 1","3, 3, 1",4
133,"Roshan can see up to 14km far. The area of land that he can see around is:",,"612sqkm","614sqkm","651sqkm","616sqkm",4
134,"he angle between the lines 3x – y + 2 = 0
and x + 3y + 4 = 0 is: he angle between the lines 3x – y + 2 = 0
and x + 3y + 4 = 0 is:",,"0","45°","60 °","90°",4
135,"What will be the quadratic equation in x when roots have their AM as A and GM as G?",,"x2 + 2Ax + G2 = 0","x2 + G2x + A = 0","x#2 - 2Ax + G2 = 0","x2 – 2Ax – G2 = 0",3
136,"Two vertices of a triangle are at (5, 9) and (-4, 1). Find the third vertex if the medians meet at (1, 1).",,"(7, 2)","(2, - 7)","(1, 7)","(4, - 2)",2
137,"Which of the following is the correct identity?",,"(AB)T = ATBT","(AB)T = BTAT","(AB)T = ABT","None of these",2
138,"My salary was first increased by 10% and then decreased by 10%. What is the total percentage change in my salary?",,"20%","1%","5%","1.5%",2
139,"Which of the following is the distance between
3x + 4y = 6 and 6x + 8y = 15?",," 3/2","6","3/10","None of these",3
140,"The square root of 0.01 is ----- to 0.01The square root of 0.01 is ----- to 0.01",,"less","equal","greater","twice",3
141,"If f(x + 1) = x + 2, then f(x – 1) is",," 2","x","x + 1","x - 1",3
142,"A pool is filled to 3/4 of its capacity. 1/9 of the water get evaporated. The capacity of the pool is 24,000 gallons when it full. How many gallons of water should be added to fill the pool?",,"8,000","6,000","12,000","18,000",1
143,"If a, b, c, are in GP and a1/x = b1/y = c1/z then x, y, z are in",,"AP","GP"," HP","None",1
144,"The L.C.M and H.C.F of the two numbers are 840 and 14 respectively and if one of the numbers is 42 then the other number is:",,"84","280","868","42",2
145,"If Sin? + Cos? = 1, then the value of Sin2? is:",,"0","1","1/2","2",1
146,"What is the least positive number x for which
Cos (30° - x) = Sin (45° + 2x)?",,"30","20","60","15",4
147,"If a = bc, b = ca, c = ab, then abc is equal to:",,"0"," 2","1","3",3
148,"How many points are in the graph of the solution set of the system?
2x - y - 1 = 0
x2 + y2 = 9",,"0","1","2","3",3
149,"The area of triangle which vertices (a, b + c), (b, c + a) &
(c, a + b) is:",,"0","a + b + c","ab + bc + ca","1",3
150,"What is the minimum value that f(x) can attain if f(x) = 2x#2 + 8x - 1?",,"-1","- 8","9"," - 9",1
151,"If A = {1, 2, 3, 4}, B = {3. 4, 5, 6} then A triangle B is:",,"{1, 2}","{1, 2, 3, 4, 5, 6}","{1, 2, 5, 6}","None",3
152,"A pyramid and a prism have equal altitudes and bases of equal area. What is the ratio of their volumes?",,"1/2","1/3","1/4","1/6",2
153,"Set A consists of all multiples of 4 between 50 and 65. Set B consists of all multiples of 3 between 50 and 65. What are possible numbers of the element of the set A – B?",,"2","4","3","1",1
154,"The points (at1#2,2at$1), (at2#2,2at$2) and (a,0) are collinear if:",,"t$1t$2 = 1","t$1t$2 = -1","t$1 = t$2","none",2
155,"If A, B, C are the angles of a triangle and Cot A + CotB + CotC = root 3 then the triangle is:",,"equilateral","Isosceles","Right angled"," None",1
156,"George scored an average of 80% on three tests. What score must he get on the fourth test to bring his average to 85%?",," 85%","90%","95%","100%",2
157,"If A = {1, 2, 3, 4}, B = {3. 4, 5, 6} then A trangle B is:",,"{1, 2}","{1, 2, 3, 4, 5, 6}","{1, 2, 5, 6}","None",3
158,"When the rate of income tax is increased from 10% to 15%, I have to pay Rs.835 more. Find my income.",,"Rs.16700","Rs.16600","Rs.10000","Rs.83500",1
159,"If W be a complex cube root of unity, then the value of
(1-w+w2) (1+w-w2) is:",,"0","1","3","4",4
160,"20% of what number is equal to 2/3 of 90?",,"30","120","600","300",4
161,"One tap gives 200 liters of water in 20 minutes, another tap throws all the water in 25 minutes. If both the taps are open together, how much water is collected n 20 minutes?",,"10 lt","2 lt.","20 lt.","40 lt.",4
162,"The ruts of 2x#2 - 6x + 7 = 0 are:",,"Real, equal","Real, unequal","Imaginary","None",1
163,"The equation of the bisectors of the angles between the lines represented by 2x#2 - 6xy - y#2 = 0 is:",,"x#2 – xy + y#2 = 0","x#2 + xy - y#2 = 0","x#2 – xy - y#2 = 0","none",2
164,"If a solid metal sphere of radius 1 foot is melted and recast to form spheres of radius, 1 inch, how many of these smaller spheres can be made?",,"36","144","1432","1728",4
165,"The derivative of Sin (ax#2 + b) is:",,"2axCos (ax#2+b)","Cos (ax#2+b)","2xCos (ax#2+b)","(ax#2+b)",1
166,"Equation of the line through origin and perpendicular to 2x + 3y + 6 = 0 is:",,"2x + 3y + 6 = 0","3x + 2y + 6 = 0","3x + 4y = 0","3x - 2y = 0",4
167,"If (2, 6), (3, 8) and (-1, y) lie on a straight line, find the value of y.",," 0","10","2","-5",1
168,"The system of the equation 3x - 4y = 1 and 6x - 8y = 7 is",,"Consistent and dependent","Inconsistent and independent","Consistent and dependent","None",2
169,"Ram drove 8 miles west, 6 miles north, 3 miles east and 6 miles north. How for was Ram from his starting point?",,"17","13","19","21",2
170,"The orthocenter of the triangle whose sides are
4x - 7y + 10 = 0, 7x + 4y = 15, x + y = 5 is:",,"(2, 1)","(-1, 2)","(1, 2)","None",1
171,"A sum doubles itself in 5 years by compound interest. How much time will it take to be 4 times the sum?",,"8 years","20 years"," 7 years","10 years",3
172,"If 3x + 2y = 8 and 2x + 3y = 12, what is the arithmetic mean of x and y.",,"2","3","4","can’t determine",1
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