3. Ratio of two numbers is 3 : 5 and their sum is 40. Find the smaller of the two numbers.
A. 25
B. 20
C. 10
D. 15
Correct Answer : D
4. If P : Q = 3 : 4, find 5P : 7Q.
A. 20 / 37
B. 3 / 4
C. 15 / 28
D. 25 / 37
Correct Answer : C
5. Raja divided 35 sweets among his daughters Rani and Sita in the ratio 4 : 3. How many sweets did Rani get?
A. 16
B. 24
C. 28
D. 20
Correct Answer : D
6. Quantity A varies directly with the sum of the quantities B and C. If B increases by 2 and C increases by 4, by how much does A increase?
A. 2
B. 4
C. 6
D. Cannot be determined
Correct Answer : D
7. Quantities a and b are inversely proportional to each other. When a = 8, b = 240. Find b when a = 6.
A. 240
B. 640
C. 160
D. 320
Correct Answer : D
8. At a party, there are a total of 28 adults. If x ladies join the party, the ratio of the number of ladies and the number of gents will change from 3 : 4 to 5 : 4. Find x.
A. 16
B. 12
C. 8
D. 10
Correct Answer : C
9. The present ages of Rohit and Sunil are in the ratio of 3 : 5. 10 years hence, the ratio of their ages will be 4 : 5. Find the present age of Rohit. (in years)
A. 36
B. 24
C. 12
D. 6
Correct Answer : D
10. The monthly salaries of X and Y are in the ratio of 3 : 4. The monthly expenditures of X and Y are in the ratio of 4 : 5. Find the ratio of the monthly savings of X and Y.
A. 5 : 3
B. 4 : 7
C. 3 : 5
D. Cannot be determined
Correct Answer : D
11. Quantity P varies inversely with the product of Q and R. When Q = 6 and R = 12, P = 75. Find P when Q = 5 and R = 10.
A. 144
B. 108
C. 72
D. 96
Correct Answer : B
12. If a : b = 2 : 3 and b : c = 5:7, then find a : b : c.
A. 10 : 15 : 21
B. 10 : 21 : 15
C. 9 : 12 : 14
D. 12 : 7 : 8
Correct Answer : A
13. In a class of 30 students, which of the following can't be the ratio of boys and girls?
A. 2 : 3
B. 1 : 5
C. 4 : 5
D. 2 : 1
Correct Answer : C
14. If a : b = 4 : 1, then find (a - 3b) / (2a - b²)
A. 45109
B. 45108
C. 45110
D. Cannot be determined
Correct Answer : D
15. A varies directly with B when C is constant and inversely with C when B is constant. Given A is 16, when B is 28 and C is 7. Find the value of A, when B is 9 and C is 6.
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