Ratio & Proportion (SSC) (Part-5)

Total Questions: 50

11. A varies directly as the positive square root of B, and inversely as the cube of C. If A = 15, when B = 27 and C = 2, then find B when A = 9 and C = 2. [SSC CGL 05/12/2022 (2nd Shift)]

Correct Answer: (b)
Solution:

12. The mean proportional of 6 and 54 is _______ more than 15. [SSC CGL 07/12/2022 (1st Shift)]

Correct Answer: (a) 3
Solution:

13. Four numbers are in the ratio 1 : 2 : 3 : 5. Two times their sum is 44. Find the ratio of the numbers obtained by subtracting 3 from the cube of each number. [SSC CPO 09/11/2022 (Morning)]

Correct Answer: (d) 5 : 61 : 213 : 997
Solution:


14. The salaries of A, B and C are in ratio of : 3/2, 6/5, 4/3. The salary of A and B together is Rs.40,500. By what percentage is the salary of A more than that of C ? [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (d) 12.5%
Solution:

15. The ratio of a father's age to his Mother’s age is 3 : 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be: [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (d) 32:23
Solution:

16. Salaries of B, C, D and E are in the ratio of 2 : 3 : 4 : 5 respectively. Their salaries are increased by 20 percent, 30 percent, 40 percent and 50 percent respectively. If the increased salary of D is ₹560, then what is the sum of the original salaries of B, C, D and E? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (a) ₹1400
Solution:

17. The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is ₹2560. This diamond got broken down into two pieces in the ratio of 5 : 9. How much loss percent is incurred due to this breakage? (correct to two decimal places) [SSC CGL Tier II (08/08/2022)]

Correct Answer: (c) 45.92 percent
Solution:

18. A sum of ₹ 1250 has to distributed among A, B, C and D. Total share of B and D is equal to (14/11) of total share of A and C. Share of D is half of share of A. Share of C is 1.2 of share of A. What are the shares of A, B, C and D respectively ? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (a) ₹ 250, ₹ 575, ₹ 300, ₹ 125
Solution:


19. If the mean proportional between 5 and 125 is x and the mean proportional between 4⁴ and 6² is y, find the value of 2x : y. [Graduate Level 04/08/2022 (Shift - 2)]

Correct Answer: (a) 25 : 48
Solution:

20. The mean proportional between 75 and x is five times the mean proportional between 15 and 26. The value of x is: [Higher Secondary 05/08/2022 (Shift - 2)]

Correct Answer: (d) 130
Solution: