1. Which of the following is the duplicate ratio of
9 : 16?
A) 3 : 4 B) 4.5 : 8 C) 81 : 256
D) 18 : 32 E) None of these
2. Find the sub-triplicate ratio of 512 : 1331.
A) 8 : 11 B) 256 : 121
C) 8 : 15 D) 11 : 13
E) None of these
3. Find the third proportion of 24 and 36.
A) 32 B) 45 C) 16 D) 54
E) None of these
4. A : B = 4 : 5, B : C = 2 : 3 and C : D = 5 : 8.
Find A : D.
A) 4 : 3 B) 1: 3 C) 1 : 5
D) 2 : 3 E) None of these
5. The total number of students in a school is 4275. If the number of girls in the school is 2025, then what is the respective ratio of the
total number of boys to the total number of girls in the school?
A) 9 : 11 B) 90 : 83 C) 10 : 9
D) 49 : 51 E) None of these
6. A sum of money is divided among A, B and C in the ratio of 6 : 8 : 5 respectively. If the
share of C is Rs.3175, then what is the total amount of money?
A) Rs. 12065 B) Rs.15625 C) Rs.15045
D) Rs.15250 E) None of these
7. The average age of a man and his son is 44 years. The ratio of their ages is 15 : 7. What will be
the ratio of their ages after 4 years ?
A) 6 : 5 B) 5 : 3
C) 4 : 3 D) 2 : 1
E) None of these
8. Find out the two quantities whose difference
is 30 and the ratio between them is 4 : 9.
A) 32, 62 B) 24, 54 C) 12, 32
D) 28, 58 E) None of these
9. Two numbers are in the ratio of 11:13. If 12 is subtracted from each, the remainders are in the ratio of 7 : 9. Find the bigger number.
A) 33 B) 39 C) 16
D) 42 E) None of these
10. If a sum of Rs.5760 were distributed among A, B and C in the ratio of 11: 9 :12 respectively, then find the share of B.
A) Rs.1980 B) Rs.2160
C) Rs.1620 D) Rs.1460
E) None of these
11. A sum of money is to be divided among A, B, C and D in the ratio of 4 : 5 : 7 : 11 respectively. If the share of C is Rs.1323, then what is the total amount of money of A and D together?
A) Rs. 2125 B) Rs. 2079 C) Rs. 2756
D) Rs. 2835 E) None of these
12. A sum of Rs.2812 has been distributed among 1 1 1 A, B and C in the ratio ⎯ : ⎯ : ⎯ respectively. 4 5 6
Find the share of C.
A) Rs.760 B) Rs.834 C) Rs.945
D) Rs.797 E) None of these
13. A, B and C divide an amount of Rs. 4200 amongst themselves in the ratio of 7:8:6 respectively. If an amount of Rs.200 is
added to each of their shares, what will be the new respective ratio of their shares of amount?
A) 8 : 9 : 6 B) 7 : 9 : 5 C) 7 : 8 : 6
D) 8 : 9 : 7 E) None of these
14. 36 percent of first number is 64 percent of the second number. What is the respective ratioof the first number to the second number?
A) 4 : 7 B) 3 : 4 C) 5 : 4
D) Cannot be determined
E) None of these
15. A bag contains of one rupee, 50 paise and 25 paise coins. If these coins are in the ratio of 2:3:10, and the total amount of coins is
Rs246, find the number of 50 paise coins in the bag.
A) 410 B) 82 C) 123
D) 205 E) None of these
16. What should be subtracted from 15, 28, 20 and 38 so that the remaining numbers may be proportional?
A) 3 B) 2 C) 4
D) 1 E) None of these
17. The ages of Amar and Aakash are in the ratio of 7 : 8 respectively. After 9 years the ratio of their ages will be 10 : 11. What is
the difference in years between their ages ?
A) 4 years B) 7 years C) 6 years
D) 5 years E) None of these
18. The present ages of two persons are 25 years and 31 years respectively. The difference in their ages after 15 years will be
A) 5 years B) 8 years C) 3 years
D) 6 years E) None of these
19. Find the fourth proportion of 16, 18 and 24.
A) 27 B) 24 C) 21
D) 32 E) None of these
20. What is the mean proportion of 72 and 8.
A) 9 B) 16 C) 27
D) 24 E) None of these
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