Ratio and Proportion problems
- 1. What number should be added to each one of 6, 14, 18 and 38 to make them equally proportionate?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 2
Explanation:
Let the number be N,
From question, (6 + N) / (14 + N) = (18 + N) / (38 + N)
? (6 + N) x (38 + N ) = (18 + N ) x (14 + N )
? N2 + 44N + 228 = N2 + 32N + 252
? 12N = 24
? N = 2
- 2. A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
Options- A. 7 / 45
- B. 1 / 35
- C. 45 / 7
- D. 5 / 21 Discuss
Correct Answer: 1 / 35
Explanation:
From question, N : 1/27 = 3/7 : 5/9
? 5/9 x N = 1/27 x 3/7
? 5/9 x N = 1/63
? N = (1/63) x (9/5) = 1/35
- 3. What must be added to each term of the ratio 7 : 13 so that the ratio becomes 2 : 3?
Options- A. 1
- B. 2
- C. 3
- D. 5 Discuss
Correct Answer: 5
Explanation:
? (7 + N) / (13 + N) = 2/3
? 3(7 +N) = 2(13 + N)
? N = 5
- 4. In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is?
Options- A. 25
- B. 64
- C. 48
- D. None of these Discuss
Correct Answer: 64
Explanation:
? 5 : 8 : : 40 : N
N = (40 x 8) / 5
? consequent N = 64
- 5. Out of the ratio 7 : 15, 15 : 23, 17 : 25 and 21 : 29 the smallest one is?
Options- A. 17 : 25
- B. 7 : 15
- C. 15 : 23
- D. 21 : 29 Discuss
Correct Answer: 7 : 15
Explanation:
7 : 5 = 7/15 = 0.466
15 : 23 = 15/23 = 0.652
17 : 25 = 17/25 = 0.68
and 21 : 29 = 0.724
? The smallest one is 7 : 15.
- 6. If 1/5 : 1/N = 1/N : 1/1.25, then the value of N is?
Options- A. 1.25
- B. 1.5
- C. 2.5
- D. 2.25 Discuss
Correct Answer: 2.5
Explanation:
Given 1/5 : 1/N = 1/N : 1/1.25
? 1/5 x 1/1.25 = 1/N x 1/N
? N2 = 5 x 1.25 = 6.25
? N = 2.5
- 7. If one-third of A, one-fourth of B and one-fifth of C are equal, then A : B : C is?
Options- A. 3 : 4 : 5
- B. 4 : 3 : 5
- C. 5 : 4 : 3
- D. 1/3 : 1/4 :1/5 Discuss
Correct Answer: 3 : 4 : 5
Explanation:
? 1/3 A = 1/4, B = 1/5, C = x
Then, A = 3x, B = 4x and C = 5x
? A : B : C = 3x : 4x : 5x = 3 : 4 : 5
- 8. The ratio which (1/3 of Rs. 9.30) bears to (0.6 of Rs. 1.55) is?
Options- A. 1 : 3
- B. 10 : 3
- C. 3 : 10
- D. 3 : 1 Discuss
Correct Answer: 10 : 3
Explanation:
Req. ratio = (1/3 of Rs. 9.30) / (0.6 of Rs. 1.55)
= 3.10 / 0.93
= 310 / 93
= 10 / 3
- 9. If a : b = 2 : 3 and 2 : a =1 : 2, then the value of 'b' is?
Options- A. 4
- B. 6
- C. 1 / 3
- D. 3 / 2 Discuss
Correct Answer: 6
Explanation:
? a / b = 2/3 and 2 / a = 1/2
? a/b x 2/a = 2/3 x 1/2
? 2/b = 1/3
? b = 6
- 10. If 2A = 3B and 4B = 5C, then A : C is?
Options- A. 3 : 4
- B. 8 : 15
- C. 15 : 8
- D. 4 : 3 Discuss
Correct Answer: 15 : 8
Explanation:
? 2A = 3B and 4B = 5C
? 8A = 12B and 12B = 15C
? 8A = 12B = 15C = x
? A = x/8, B = x/12, C = x/15
So, A : C = x/8 : x/15 = 15 : 8
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