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Aptitude Ratio and Proportion Set 1
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1. 1: 3 = 1 2/3: x. The value of x is? A. 1B. 3C. 4 D. 5
1
3
41/6
5
2. What number has a 5:1 ratio to the number 10?
42
50
55
62
3. If a: b = 7: 5, b: c = 9: 11, find a: b: c?
63: 14: 55
63: 45: 55
14: 14: 15
7: 14: 15
4. If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
5:12
7:12
3:11
5:11
5. The duplicate ratio of 3:4 is?
4:3
6:8
9:16
3:4
6. The triplicate ratio of 1:2 is?
8:1
1:8
2:1
1:2
7. The sub-duplicate ratio of 1:4 is
1:2
2:1
1:4
1:3
8. The greatest ratio out of 2:3, 5:4, 3:2 and 4:5 is?
4:5
3:2
5:4
2:3
9. The smallest ratio out of 1:1, 2:1, 1:3 and 3:1 is?
3:1
1:3
2:1
1:2
10. The third proportional to 1 and 2 is?
2
3
4
1
11. The fourth proportional to 12, 14 and 18 is?
21
20
22
28/3
12. The mean proportional between 4 and 9 is?
9
3
6
4
13. The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
20 kg
35 kg
55 kg
14 kg
14. The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
3
4
5
6
15. The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
36
24
12
6
16. The first three terms of a proportion are 3, 9 and 12. The fourth term is?
4
6
18
36
17. A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
10cm
20cm
25cm
30cm
18. 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
38
40
42
48
19. 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
10.5
11.5
12.5
10.4
20. A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
3 days
8 days
10 days
6 days
21. An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
Rs.2800
Rs.3000
Rs.2400
Rs.3200
22. The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
1/32
1/42
1/16
12/71
23. A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
15
18
21
24
24. A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Rs.90
Rs.105
Rs.96
Rs.120
25. The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
2:1
5:3
6:5
5:6
26. Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
18
24
30
28
27. Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
3:8
9:31
8:21
10:27
28. . Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Rs.600
. Rs.525
Rs.375
Rs.0
29. Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Rs.260
Rs.270
Rs.360
Rs.540
30. A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Rs.50
Rs.7
Rs.100
Rs.150
31. The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers? A. 18B. 20C. 22D. 24
18
20
22
24,
32. In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
32
42
52
60
33. There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
110
110
90
85
34. The compound ratio of 5:6, 3:2 and 4:5?
12:1:4
1:4
1:5
1:1
35. Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:
36
27
18
30
36. The simple form of the ratio 2/3:2/5 is?
10:6
6:10
3:5
5:3
37. Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
55,77
45,63
40,56
60,84
38. In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
42 liters
56 liters
60 liters
77 liters
39. 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
28 days
30 days
32 days
35 days
40. A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
3900 men
2300 men
900 men
1900 men
41. A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
400
600
800
1000
42. There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more? A. 60 25 menD.
60 men
40 men
25 men
20 men
43. Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Rs.100
Rs.200
Rs.300
Rs.600
44. Rs.525 among A, B and C such that B may get 2/3 of A and C together get. Find the share of C?
Rs.210
Rs.315
Rs.105
not possible to find
45. Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Rs.130
Rs.150
Rs.170
Rs.175
46. A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Rs.410
Rs.315
Rs.485
Rs.205
47. Divide Rs.32000 in the ratio 3:5?
12000, 20000
18000, 14000
30000, 2000
10000, 22000
48. Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6?
A = 30000 B = 40000 C = 48000
A = 40000 B = 48000 C = 30000
A = 30000 B = 48000 C = 40000
A = 48000 B = 40000 C = 30000
49. The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
100, 200
200, 300
150, 200
250, 300
50. Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
218/1547
376/1547
240/1547
150/1547
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