Quantitative Aptitude 2009
Directions—(Q. 1–6) What should come in place of the question mark (?) in the
following questions ?
1. 196 × 948 ÷ 158 = ?
(A) 1156
(B) 1200
(C) 1188
(D) 1176
(E) None of these
Ans : (D)
2. (786 × 64) ÷ 48 = ?
(A) 1050
(B) 1024
(C) 1048
(D) 1036
(E) None of these
Ans : (C)
3. 3•5 + 11•25 × 4•5 – 32•5 = ?
(A) 18•275
(B) 21•625
(C) 32•375
(D) 25•45
(E) None of these
Ans : (B)
4. (2640 ÷ 48) × (2240 ÷ 35) = ?
(A) 3520
(B) 3515
(C) 3495
(D) 3490
(E) None of these
Ans : (A)
5. 7414 + 3698 + 1257 + 1869 = ?
(A) 14328
(B) 14438
(C) 13428
(D) 13248
(E) None of these
Ans : (E)
6. (98360 + 25845 – 36540) ÷ 2500 = ?
(A) 36•585
(B) 30•082
(C) 32•085
(D) 35•066
(E) None of these
Ans : (D)
Directions—(Q. 7–11) What should come in place of the question mark (?) in the
following number series ?
7. 1, 9, 25, 49, ?, 169
(A) 100
(B) 64
(C) 81
(D) 121
(E) None of these
Ans : (D)
8. 3, 23, 43, ?, 83, 103
(A) 33
(B) 53
(C) 63
(D) 73
(E) None of these
Ans : (C)
9. 748, 737, 715, 682, 638, ?
(A) 594
(B) 572
(C) 581
(D) 563
(E) None of these
Ans : (E)
10. 121, 117, 108, 92, 67, ?
(A) 31
(B) 29
(C) 41
(D) 37
(E) None of these
Ans : (A)
11. 50, 26, 14, ?, 5, 3•5
(A) 6
(B) 8
(C) 10
(D) 12
(E) None of these
Ans : (B)
12. The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number
of frogs in the pond ?
(A) 148
(B) 152
(C) 156
(D) 144
(E) None of these
Ans : (C)
13. The number of employees in Companies A, B and C are in a rtio of 4 : 5 : 6 respectively. If the number of employees in the three Companies is increased by 25%, 30% and 50% respectively, what will be the new ratio of employees working in Companies A, B and C respectively ?
(A) 13 : 10 : 18
(B) 10 : 13 : 17
(C) 13 : 15 : 18
(D) Cannot be determined
(E) None of these
Ans : (E)
14. The average of five positive numbers is 213. The average of the first two numbers is 233•5 and the average of last two numbers is 271.
What is the third number ?
(A) 64
(B) 56
(C) 106
(D) Cannot be determined
(E) None of these
Ans : (B)
15. Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount of Rs. 12,750. What is Sonali’s monthly income ?
(A) Rs. 42,500
(B) Rs. 38,800
(C) Rs. 40,000
(D) Rs. 35,500
(E) None of these
Ans : (A)
16. In how many different ways can the letters of the word ‘ARISE’ be arranged ?
(A) 90
(B) 60
(C) 180
(D) 120
(E) None of these
Ans : (D)
17. What approximate amount of compound interest can be obtaied on an amount of Rs. 9650 at the rate of 6 p.c.p.a. at the end of 3 years ?
(A) Rs. 1737
(B) Rs. 1920
(C) Rs. 1720
(D) Rs. 1860
(E) Rs. 1843
Ans : (E)
18. A milkman sells 120 litres of milk for Rs. 3360 and he sells 240 litres of milk for Rs. 6120. How much concession does the trader give per litre of milk, when he sells 240 litres of milk ?
(A) Rs. 2
(B) Rs. 3•5
(C) Rs. 2•5
(D) Rs. 1•5
(E) None of these
Ans : (C)
19. When 3626 is divided by the square of a number and the answer so obtained ismultiplied by 32, the final answer obtained is 2368. What is the number ?
(A) 7
(B) 36
(C) 49
(D) 6
(E) None of these
Ans : (A)
20. The sum of the two digits of a two digit number is 14. The difference between the first digit and the second digit of the two digit number is 2. What is the product of the two digits of the two digit
number ?
(A) 56
(B) 48
(C) 45
(D) Cannot be determined
(E) None of these
Ans : (B)
21. A car runs at the speed of 50 kms per hour when not serviced and runs at 60 kms/hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced ?
(A) 8•2 hours
(B) 6•5 hours
(C) 8 hours
(D) 7•2 hours
(E) None of these
Ans : (D)
Directions—(Q. 22–24) What approximate value should come in place of the question mark (?) in the following questions ?
(You are not expected to calculate the exact value.)
22. (4863 + 1174 + 2829) ÷ 756 = ?
(A) 18
(B) 16
(C) 12
(D) 9
(E) 22
Ans : (C)
23. 37•35 + 13•064 × 3•46 = ?
(A) 89
(B) 83
(C) 76
(D) 79
(E) 85
Ans : (B)
24. 54 × 746 ÷ 32 = ?
(A) 1259
(B) 1268
(C) 1196
(D) 1248
(E) 1236
Ans : (A)
25.Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
A.30/17hours
B.30/11hours
C.60/13hours
D.9/2hours
Ans: c
26.If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A.35
B.36
C.45
D.54
Ans: D
27.Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
A.9
B.11
C.13
D.15
Ans: D
28.The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
A.3
B.4
C.9
D.Cannot be determined
Ans: B
29.A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A.45%
B.45 5/11%
C.54 6/11%
D.55%
Ans:B
30.Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A.39, 30
B.41, 32
C.42, 33
D.43, 34
Ans:C
31. The profit earned after selling an article for Rs 625 is the same as the loss incurred after seIling the article for Rs 435. What is the cost price ofthe article?
A. Rs 530
B. Rs 520
C. Rs 540
D. Rs 550
E. None of these
Ans: A
32.A sum of Rs 817 is divided among A, Band C such that 'A' receives 25% more than 'B' and 'B' receives 25% less than 'C'. What is A's share in the amount?
A. Rs228
B. Rs247
C. Rs285
D. Rs 304
E. None of these
aNS: A
33. Ms Sujata invests 7% ie Rs 2170, of her monthly salary in mutual funds. Later she invests 18% of her monthly salary in recurring deposits. Also, she invests 6% of her salary on NSC's. What is the total annual amount in- vested by Ms Sujata? .
A. Rs 1,25,320
B. Rs 1,13,520
C. Rs,I,35,120
D. Rs 1,15,320
E. None of these
aNS: C
34. What is 30% of 40% of 2/5 2500?
A. 500
B. 400
C. 360
D. 120
E. None of these
Ans: D
35. A, B, C and D are four consecutive even numbers respectively and their average is 65. What is the product of A and D?
A. 3968
B. 4216
C. 4092
D. 4352
E. None of these
Ans: D
36. The sum offive numbers is 555. The average of the first two numbers is 75 and the third number is liS. What is the average of the last two numbers?
A. 145
B. 290
C. 265
D. 150
E. None of these
Ans: B
37. A car covers the first 35 km of its journey in 45 minutes and the remaining 69 km in 75 minutes. What is the average speed of the car?
A. 42 kmlhr
B. 50 km/hr
C. 52 kmlhr
D. 60 km/hr
E. None of these
Ans:A
38.In how many different ways can the letters of the word 'PRIDE' be arranged?
A. 60
B. 120
C. 15
D. 360
E. None of these
Ans: C
39. The ages of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their ages will be II : 18. What is the difference in years between their ages?
A. 24 years
B. 21 years.
C. 20 years
D. 33 years
E. None of these
Ans:C
following questions ?
1. 196 × 948 ÷ 158 = ?
(A) 1156
(B) 1200
(C) 1188
(D) 1176
(E) None of these
Ans : (D)
2. (786 × 64) ÷ 48 = ?
(A) 1050
(B) 1024
(C) 1048
(D) 1036
(E) None of these
Ans : (C)
3. 3•5 + 11•25 × 4•5 – 32•5 = ?
(A) 18•275
(B) 21•625
(C) 32•375
(D) 25•45
(E) None of these
Ans : (B)
4. (2640 ÷ 48) × (2240 ÷ 35) = ?
(A) 3520
(B) 3515
(C) 3495
(D) 3490
(E) None of these
Ans : (A)
5. 7414 + 3698 + 1257 + 1869 = ?
(A) 14328
(B) 14438
(C) 13428
(D) 13248
(E) None of these
Ans : (E)
6. (98360 + 25845 – 36540) ÷ 2500 = ?
(A) 36•585
(B) 30•082
(C) 32•085
(D) 35•066
(E) None of these
Ans : (D)
Directions—(Q. 7–11) What should come in place of the question mark (?) in the
following number series ?
7. 1, 9, 25, 49, ?, 169
(A) 100
(B) 64
(C) 81
(D) 121
(E) None of these
Ans : (D)
8. 3, 23, 43, ?, 83, 103
(A) 33
(B) 53
(C) 63
(D) 73
(E) None of these
Ans : (C)
9. 748, 737, 715, 682, 638, ?
(A) 594
(B) 572
(C) 581
(D) 563
(E) None of these
Ans : (E)
10. 121, 117, 108, 92, 67, ?
(A) 31
(B) 29
(C) 41
(D) 37
(E) None of these
Ans : (A)
11. 50, 26, 14, ?, 5, 3•5
(A) 6
(B) 8
(C) 10
(D) 12
(E) None of these
Ans : (B)
12. The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number
of frogs in the pond ?
(A) 148
(B) 152
(C) 156
(D) 144
(E) None of these
Ans : (C)
13. The number of employees in Companies A, B and C are in a rtio of 4 : 5 : 6 respectively. If the number of employees in the three Companies is increased by 25%, 30% and 50% respectively, what will be the new ratio of employees working in Companies A, B and C respectively ?
(A) 13 : 10 : 18
(B) 10 : 13 : 17
(C) 13 : 15 : 18
(D) Cannot be determined
(E) None of these
Ans : (E)
14. The average of five positive numbers is 213. The average of the first two numbers is 233•5 and the average of last two numbers is 271.
What is the third number ?
(A) 64
(B) 56
(C) 106
(D) Cannot be determined
(E) None of these
Ans : (B)
15. Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount of Rs. 12,750. What is Sonali’s monthly income ?
(A) Rs. 42,500
(B) Rs. 38,800
(C) Rs. 40,000
(D) Rs. 35,500
(E) None of these
Ans : (A)
16. In how many different ways can the letters of the word ‘ARISE’ be arranged ?
(A) 90
(B) 60
(C) 180
(D) 120
(E) None of these
Ans : (D)
17. What approximate amount of compound interest can be obtaied on an amount of Rs. 9650 at the rate of 6 p.c.p.a. at the end of 3 years ?
(A) Rs. 1737
(B) Rs. 1920
(C) Rs. 1720
(D) Rs. 1860
(E) Rs. 1843
Ans : (E)
18. A milkman sells 120 litres of milk for Rs. 3360 and he sells 240 litres of milk for Rs. 6120. How much concession does the trader give per litre of milk, when he sells 240 litres of milk ?
(A) Rs. 2
(B) Rs. 3•5
(C) Rs. 2•5
(D) Rs. 1•5
(E) None of these
Ans : (C)
19. When 3626 is divided by the square of a number and the answer so obtained ismultiplied by 32, the final answer obtained is 2368. What is the number ?
(A) 7
(B) 36
(C) 49
(D) 6
(E) None of these
Ans : (A)
20. The sum of the two digits of a two digit number is 14. The difference between the first digit and the second digit of the two digit number is 2. What is the product of the two digits of the two digit
number ?
(A) 56
(B) 48
(C) 45
(D) Cannot be determined
(E) None of these
Ans : (B)
21. A car runs at the speed of 50 kms per hour when not serviced and runs at 60 kms/hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced ?
(A) 8•2 hours
(B) 6•5 hours
(C) 8 hours
(D) 7•2 hours
(E) None of these
Ans : (D)
Directions—(Q. 22–24) What approximate value should come in place of the question mark (?) in the following questions ?
(You are not expected to calculate the exact value.)
22. (4863 + 1174 + 2829) ÷ 756 = ?
(A) 18
(B) 16
(C) 12
(D) 9
(E) 22
Ans : (C)
23. 37•35 + 13•064 × 3•46 = ?
(A) 89
(B) 83
(C) 76
(D) 79
(E) 85
Ans : (B)
24. 54 × 746 ÷ 32 = ?
(A) 1259
(B) 1268
(C) 1196
(D) 1248
(E) 1236
Ans : (A)
25.Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
A.30/17hours
B.30/11hours
C.60/13hours
D.9/2hours
Ans: c
26.If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A.35
B.36
C.45
D.54
Ans: D
27.Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
A.9
B.11
C.13
D.15
Ans: D
28.The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
A.3
B.4
C.9
D.Cannot be determined
Ans: B
29.A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A.45%
B.45 5/11%
C.54 6/11%
D.55%
Ans:B
30.Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A.39, 30
B.41, 32
C.42, 33
D.43, 34
Ans:C
31. The profit earned after selling an article for Rs 625 is the same as the loss incurred after seIling the article for Rs 435. What is the cost price ofthe article?
A. Rs 530
B. Rs 520
C. Rs 540
D. Rs 550
E. None of these
Ans: A
32.A sum of Rs 817 is divided among A, Band C such that 'A' receives 25% more than 'B' and 'B' receives 25% less than 'C'. What is A's share in the amount?
A. Rs228
B. Rs247
C. Rs285
D. Rs 304
E. None of these
aNS: A
33. Ms Sujata invests 7% ie Rs 2170, of her monthly salary in mutual funds. Later she invests 18% of her monthly salary in recurring deposits. Also, she invests 6% of her salary on NSC's. What is the total annual amount in- vested by Ms Sujata? .
A. Rs 1,25,320
B. Rs 1,13,520
C. Rs,I,35,120
D. Rs 1,15,320
E. None of these
aNS: C
34. What is 30% of 40% of 2/5 2500?
A. 500
B. 400
C. 360
D. 120
E. None of these
Ans: D
35. A, B, C and D are four consecutive even numbers respectively and their average is 65. What is the product of A and D?
A. 3968
B. 4216
C. 4092
D. 4352
E. None of these
Ans: D
36. The sum offive numbers is 555. The average of the first two numbers is 75 and the third number is liS. What is the average of the last two numbers?
A. 145
B. 290
C. 265
D. 150
E. None of these
Ans: B
37. A car covers the first 35 km of its journey in 45 minutes and the remaining 69 km in 75 minutes. What is the average speed of the car?
A. 42 kmlhr
B. 50 km/hr
C. 52 kmlhr
D. 60 km/hr
E. None of these
Ans:A
38.In how many different ways can the letters of the word 'PRIDE' be arranged?
A. 60
B. 120
C. 15
D. 360
E. None of these
Ans: C
39. The ages of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their ages will be II : 18. What is the difference in years between their ages?
A. 24 years
B. 21 years.
C. 20 years
D. 33 years
E. None of these
Ans:C
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