Ratio and Proportion problems
- 1. In a class, the number of boys is more than the numbers of girls by 12% of the total strength. The ratio of boys to girls is?
Options- A. 11 : 14
- B. 14 : 11
- C. 25 : 28
- D. 28 : 25 Discuss
Correct Answer: 14 : 11
Explanation:
Let the number of boys and girls be x and y respectively. Then
From question, (x - y ) = 12% of (x + y)
? x/y = 3/25 (x + y )
? 25x - 25y = 3x + 3y
? 22x = 28y
? x / y = 28 / 22 = 14 / 11
- 2. Three friends divided Rs. 624 among themselves in the ratio 1/2 : 1/3 :1/4. The share of the third friend is?
Options- A. Rs. 288
- B. Rs. 192
- C. Rs. 148
- D. Rs. 144 Discuss
Correct Answer: Rs. 144
Explanation:
Ratio = 1/2 : 1/3 : 1/4 = 6 : 4 : 3
? share of third friend = Rs. (624 x 3/13)
= Rs. 144
- 3. The ratio of two number is 3 : 4 and thier sum is 420. the greater of the two numbers is?
Options- A. 175
- B. 200
- C. 240
- D. 315 Discuss
Correct Answer: 240
Explanation:
Greater number = 420 x (4/7) = 240
- 4. If carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?
Options- A. 2 : 1
- B. 3 : 1
- C. 3 : 2
- D. 7 : 5 Discuss
Correct Answer: 3 : 2
Explanation:
For dividing 12 into two whole numbers, the sum of the terms of the ratio must be a factor of 12. so, they cannot be in the ratio 3 :2.
- 5. Two whole numbers whose sum is 64, cannot be in the ratio?
Options- A. 5 : 3
- B. 7 : 1
- C. 3 : 4
- D. 9 : 7 Discuss
Correct Answer: 3 : 4
Explanation:
For dividing 64 into two whole number, the sum of the terms of the ratio must be factor of 64, so they cannot be in the ratio 3 : 4.
- 6. 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
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
- 7. The third propotional to 0.8 and 0.2 is?
Options- A. 0.4
- B. 0.8
- C. 0.05
- D. 0.032 Discuss
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
- 8. The mean proportional between 0.32 and 0.02 is?
Options- A. 0.34
- B. 0.3
- C. 0.16
- D. 0.08 Discuss
Correct Answer: 0.08
Explanation:
Mean proportional = ?0.32 x 0.02
= ?0.0064 = 0.08
- 9. 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
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
- 10. 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
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
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