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Quantitative Aptitude
1. Two numbers are respectively 25% and 20% less than a third number. What percent is the first number of the second.
(A) 5.85%
(B) 75.85%
(C) 80.60%
(D) 93.75%
Ans (D)
2. A pump can fill a tank with water in two hours. Because of a leak in the tank it was taking two 1/3 hours to fill the tank. The leak can drain all the water off the tank in.
(A) 8 hours
(B) 7 hours
(C) 13/3 hours
(D) 14 hours
Ans (D)
3. A can do a peace of work in 4 hours. B and C can do it in 3 hours. A and C can do it in two hours. How long will B take to do it?
(A) 10 hours
(B) 12 hours
(C) 8 hours
(D) 24 hours
Ans (B)
4. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest p.a. for two years is Rs.15. Then the sum is _____
(A) Rs.6500
(B) Rs.5500
(C) Rs.6000
(D) Rs.7000
Ans (C)
5. A sum borrowed under compound interest doubles itself in 10 years. When will it become four fold of itself at the same rate of interest?
(A) 15 years
(B) 20 years
(C) 24 years
(D) 40 years
Ans (B)
6. The students in three classes are in the ratio of 2:3:5 if 40 students are increased in each class the ratio changes to 4:5:7 if 40 students are increased in each class the ratio changes to 4:5:7 originally the total number of students was _______
(A) 100
(B) 180
(C) 200
(D) 400
Ans (C)
7. The ratio of incomes of two persons is 5:3 and that of their expenditure is 9.5. Find the income of each person if they save Rs.1300 and Rs.900 respectively.
(A) Rs.4000, Rs.2400
(B) Rs.3000, Rs.1800
(C) Rs.5000, Rs.3000
(D) Rs.4500, Rs.2700
Ans (A)
8. A fort has provision for 50 days if after 10 days they are strengthen by 500 men and the remaining food lasts 35 days. How many men were there in the fort initially?
(A) 3500
(B) 3000
(C) 2500
(D) 4000
Ans (A)
9. A number is increased by 20% and then it is decreased by 10%. Find the net increase or decrease in %
(A) 10% increase
(B) 10% decrease
(C) 8%increase
(D) 8% decrease
Ans (C)
10. The product of two positive numbers is 2500 if one number is 4 times the other, the sum of the two numbers is ______
(A) 25
(B) 125
(C) 225
(D) 250
Ans (B)
11. Which of the following is the largest number which is exactly devisable by 7,9 and 15?
(A) 9450
(B) 9765
(C) 9865
(D) 9550
Ans (B)
12. What percent of 5/8 is 8/5?
(A) 100
(B) 64
(C) 256
(D) 1024
Ans (C)
13. 2.3 + 6.5 - 7.1 + 4.9 -1.4 + 8.6 - 5.3?
(A) 8.5
(B) 8.6
(C) 8.7
(D) 8.4
Ans (A)
14. Example of a mathematical statement is ______
(A) (10+8)-9
(B) 2x+3=5
(C) 5<9+3
(D) x+3
Ans (C)
15. If 4x = 10 then X=?
(A) 10-4
(B) 10 X 4
(C) 10 +4
(D) 10/4
Ans (D)
16. a and b are two numbers. The property of a = b then b=a is called _______
(A) Reflexive property
(B) Transitive property
(C) Symmetric property
(D) Associative property
Ans (C)
17. "10 added to 5 times x is equal to 20" in symbolic form is _______
(A) 5(x+10)=20
(B) 5x+10=20
(C) x/5+10=20
(D) 5x-10=20
Ans (B)
18. The point equidistant from the vertices of a triangle is its_____
(A) Orthocentre
(B) Centroid
(C) circumcentre
(D) Incentre
Ans (C)
19. The centroid of a triangle is the point of concurrence of its
(A) angle bisectors
(B) perpendicular bisector
(C) altitudes
(D) medians
Ans (D)
20. If the angles of a triangle are in the ratio 1:2:7 then the triangle is ______
(A) acute angled
(B) obtuse angled
(C) right angled
(D) isosceles
Ans (D)
21. Two sides of a triangle are 8cm and 11cm then the possible third side is____
(A) 1 cm
(B) 2 cm
(C) 3 cm
(D) 4 cm
Ans (D)
22. A triangle always has exactly
(A) one acute angle
(B) at least two acute angles
(C) exactly one right angle
(D) exactly two acute angles
Ans (B)
23. Two trains A and B are running at the speeds of 45 KMPH and 25 KMPH respectively in the same direction. The faster train i.e. train A crosses a Man sitting in the slower train B in 18 secs. Find the length of the train A?
(A) 100 metres
(B) 120 metres
(C) 150 meters
(D) 180 meters
Ans (A)
24. A circular road runs round a circular ground. If the difference between the circumference of the outer circle and inner circle is 44 meters, find the width of road.
(A) 8 meters
(B) 7 meters
(C) 17 meters
(D) 9 meters
Ans (B)
25. A and B started a business in partnership. A invested Rs.2000/- for six months and B invested Rs.1500 for 8 months. What is the share of A in total profit of Rs.510?
(A) Rs.250
(B) Rs.255
(C) Rs.275
(D) Rs.280
Ans (B)
Directionsâ(Q. 1 to 2) What should come in place of the question mark (?) in the following questions ?
26. 73% of 8523 + 32% of 6245 = ?
(A) 8042·21
(B) 8136·28
(C) 8625·35
(D) 8220·19
(E) None of these
Ans (D)
27. 8226 ÷ 15 ÷ 5 = ?
(A) 2156
(B) 109·68
(C) 185·56
(D) 2742
(E) None of these
Ans (B)
28. 1 9 48 260 1590 ?
(A) 11130
(B) 11172
(C) 11135
(D) 11137
(E) None of these
Ans (B)
29. 4 10 33 136 685 ?
(A) 3430
(B) 4110
(C) 4116
(D) 3435
(E) None of these
Ans (C)
30. 25 27 30 34 39 ?
(A) 45
(B) 44
(C) 47
(D) 43
(E) None of these
Ans (A)
Directionsâ(Q. 31 to 35) What approximate value should come in place of the question mark (?) in the following questions ?(You are not expected to calculate the exact value.)
31. 182·225 ´ 21·652 ´ 33·584 = ?
(A) 132507
(B) 149428
(C) 120426
(D) 106438
(E) 112642
Ans (A)
32. 63·5% of 8924·2 + ?% of 5324·4 = 6827·5862
(A) 36
(B) 22
(C) 17
(D) 31
(E) 9
Ans (B)
33. 11/7 + 22/3 + 18/5 = ?
(A) 21
(B) 8
(C) 25
(D) 13
(E) 30
Ans (D)
34. (9%of86) X (6.5%of144) =?
A) 340.1664
B) .325.1664
C) 3.333.3333
D) 4.328.0065
E).None of these
Ans (B)
35. 9546324 ÷ 4584 = ?
(A) 2149
(B) 1986
(C) 2083
(D) 2247
(E) 1805
Ans (C)
Directionsâ(Q. 36 to 40) Study the information carefully and answer the questions that followâ
A school has a total of 1200 students. The ratio of girls to boys in the school is 3 : 2. All the students have enrolled in hobby classes viz. Singing, Dancing, Martial Arts and Cooking. One-twelfth of the boys have enrolled in only cooking classes. 25 per cent of the girls have enrolled in Cooking and Singing classes to-gether. Number of boys enrolled in only Martial Arts classes is 150 per cent of the number of girls enrolled in the same. Number of students enrol-led in only Dancing is 26 per cent of the total number of students. 5 per cent of the girls have enrolled in only Martial Arts classes. One-third of the boys enrolled in only Dancing classes. 35 per cent of the girls enrolled in Singing, Dancing and Martial Arts together and the remaining enrolled in only Cooking. 15 percent of the boys enrolled in Cooking and Singing classes together and the remaining enrolled in Singing, Dancing and Martial Arts classes together.
36. Number of boys enrolled in Cooking and Singing classes together is what per cent of the girls enrolled in the same ?
(A) 48
(B) 36
(C) 20
(D) 25
(E) None of these
Ans (E)
37. What is the total number of students learning Martial Arts ?
(A) 90
(B) 496
(C) 342
(D) 128
(E) None of these
Ans (A)
38. How many girls are enrolled in only Cooking classes ?
(A) 280
(B) 252
(C) 154
(D) 100
(E) None of these
Ans (E)
39. How many boys learn Singing ?
(A) 226
(B) 184
(C) 72
(D) 96
(E) None of these
Ans (A)
40. What is the respective ratio of girls to boys enrolled in only Dancing classes ?
(A) 8 : 7
(B) 14 : 17
(C) 19 : 20
(D) 12 : 7
(E) None of these
Ans (C)
41. 4 men, 5 women and 3 children together can complete a piece of work in 16 days. In how many days can 10 women alone com-plete the piece of work if 10 men alone complete the work in 24 days ?
(A) 18
(B) 15
(C) 12
(D) Cannot be determined
(E) None of these
Ans (D)
42. What will be the difference bet-ween the simple interest and compound interest earned on a sum of Rs. 985 @ 14 p.c.p.a. at the end of two years ?
(A) Rs. 16·408
(B) Rs. 14·214
(C) Rs. 19·218
(D) Rs. 17·405
(E) None of these
Ans (E)
Directionsâ(Q. 43 and 44) Study the information carefully to answer the questions that followâ
A basket contains 3 blue, 2 green and 5 red balls.
43. If three balls are picked at random, what is the probability that at least one is red ?
(A) 1/2
(B) 7/12
(C) 11/12
(D) 1/5
(E) None of these
Ans (C)
44. If four balls are picked at random, what is the probability that two are green and two are blue ?
(A) 1/8
(B) 1/70
(C) 3/5
(D) 1/2
(E) None of these
Ans (B)
45. In how many different ways can the letters of the word âFLEECEDâ be arranged ?
(A) 840
(B) 2520
(C) 1680
(D) 49
(E) None of these
Ans (A)
