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Aptitude Ratio and Proportion Set 3
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1. Find the mean proportional of the following pairs of numbers 6 and 24.
8
12
16
16
2. Find the mean proportional of the following pairs of numbers 50 and 512.
80
120
160
200
3. A gardener wants to plant trees in his garden in rows in such a way that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
63
28
48
32
4. In an exam, a candidate secured 504 marks our of the maximum mark of M. If the maximum mark M is converted into 800 marks, he would have secured 384 marks. What is the value of M?
750
1200
1125
None of These
5. In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
420
528
164
None of These
6. 15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
14
18
24
28
7. 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
30
60
45
None of these
8. If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:
4:9:16
8:9:12
8:9:16
8:9:24
9. If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then A:B:C:D is:
16:22:30:35
16:24:15:35
16:24:30:35
18:24:30:35
10. The salaries of A, B, C are in the ratio 2:3:5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
3:3:10
10:11:20
23:33:60
Cannot be determined
11. If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:
Rs. 182
Rs. 190
Rs. 196
Rs. 204
12. Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:
27
33
49
55
13. Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5. The greatest number is:
24
26
28
32
14. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there are Rs. 30 in all, how many 5 p coins are there?
50
100
150
200
15. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's present salary?
Rs. 17,000
Rs. 20,000
Rs. 25,500
None of These
16. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's present salary?
Rs. 17,000
Rs. 20,000
Rs. 25,500
None of these
17. If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
Rs. 120, Rs. 240, Rs. 150
Rs. 60, Rs. 90, Rs. 360
Rs. 150, Rs. 300, Rs. 60
None of These
18. The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
20
30
48
58
19. A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Rs. 460
Rs. 484
Rs.550
Rs. 664
20. Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
2:3:4
6:7:8
6:8:9
None of These
21. The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
8:9
17:18
21:22
Cannot be determined
22. A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
Rs. 500
Rs. 1500
Rs. 2000
None of these
23. . If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
2:5
3:7
5:3
7:3
24. Ratio of the earnings of A and B is 4:7. If the earnings of A increases by 50% and those of B decreased by 25%, the new ratio of their earnings becomes 8:7. What are A's earnings?
Rs. 21,000
Rs. 26,000
Rs. 28,000
Data inadequate
25. Ratio of the earnings of A and B is 4:7. If the earnings of A increases by 50% and those of B decreased by 25%, the new ratio of their earnings becomes 8:7. What are A's earnings?
Rs. 21,000
Rs. 26,000
Rs. 28,000
Data inadequate
26. The fourth proportional to 5, 8, 15 is:
18
24
19
21
27. x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to:
3
9
1/3
1/9
28. x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to:
3
9
1/3
1/9
29. If 10% of x = 20% of y, then x:y is equal to:
1:2
2:1
5:1
10:1
30. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
3 : 3 : 10
10 : 11 : 20
23 : 33 : 60
None of These
31. The fourth proportional to 5, 8, 15 is:
18
24
19
20
32. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
27
33
49
20
33. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
50
100
150
200
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