Discussion
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- Question
- 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
- Correct Answer
- 2
ExplanationLet 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 - 1. What number should be subtracted from each of the number 54, 71, 75 and 99 so that the remainders may be proportional?
Options- A. 1
- B. 2
- C. 3
- D. 6 Discuss
- 2. The fourth proportional to 0.2, 0.12 and 0.3 is?
Options- A. 0.13
- B. 0.15
- C. 0.18
- D. 0.8 Discuss
- 3. The mean proportional between 0.32 and 0.02 is?
Options- A. 0.34
- B. 0.3
- C. 0.16
- D. 0.08 Discuss
- 4. The third propotional to 0.8 and 0.2 is?
Options- A. 0.4
- B. 0.8
- C. 0.05
- D. 0.032 Discuss
- 5. The weight of a 13 m long iron rod is 23.4 kg. The weight of 6 m long of such rod wiil be?
Options- A. 7.2 kg
- B. 12.4 kg
- C. 10.8 kg
- D. 18 kg Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Ratio and Proportion problems
Search Results
Correct Answer: 3
Explanation:
Let the required number be N,
From question, (54 - N) / (71 - N) = (75 - N) / (99 - N)
? (54 - N) x (99 - N) = (75 - N) x (71 - N)
? N2 - 153N + 5346 = N2 - 146N + 5325
? 7N = 21
? N = 3
Correct Answer: 0.18
Explanation:
Let 0.2 : 0.12 : : 0.3 : N
? 0.2 x N = 0.12 x 0.3
? N = (0.12 x 0.3) / 0.2 = 0.18
Correct Answer: 0.08
Explanation:
Mean proportional = ?0.32 x 0.02
= ?0.0064 = 0.08
Correct Answer: 0.05
Explanation:
Let 0.8 : 0.2 : : 0.2 : N
Then 0.8 x N = 0.2 x 0.2
? N = ( 0.2 x 0.2) / 0.8 = 0.04 / 0.08 = 4/80 = 0.05
Correct Answer: 10.8 kg
Explanation:
Less length, less weigth
From question, 13 : 6 : : 23.4 : W
? 13 x W = 6 x 23.4
? W = (6 x 23.4) /13 = 10.8 kg
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
Correct Answer: 5
Explanation:
? (7 + N) / (13 + N) = 2/3
? 3(7 +N) = 2(13 + N)
? N = 5
Correct Answer: 64
Explanation:
? 5 : 8 : : 40 : N
N = (40 x 8) / 5
? consequent N = 64
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.
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
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