Ratio and Proportion problems
- 1. If 2A = 3B = 4C , then A : B : C is?
Options- A. 2 : 3 : 4
- B. 4 : 3 : 2
- C. 6 : 4 : 3
- D. 3 : 4 : 6 Discuss
Correct Answer: 6 : 4 : 3
Explanation:
Let 2A = 3B = 4C = x
Then A = x/2, B = x/3 and C = x/4
? A : B : C = x/2 : x/3 : x/4
Hence A : B : C = 6 : 4 : 3
- 2. If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : D is equal to?
Options- A. 2 : 7
- B. 7 : 8
- C. 16 : 35
- D. 4 : 13 Discuss
Correct Answer: 16 : 35
Explanation:
? A/D = (A/B) x (B/C) x (C/D) = (2/3) x (4/5) x (6/7) = 16/35
? A : D = 16 : 35
- 3. If A = B/3 and B = C/2, then A : B : C is?
Options- A. 1 : 3 : 6
- B. 2 :3 : 6
- C. 3 : 2 : 6
- D. 3 :1 :2 Discuss
Correct Answer: 1 : 3 : 6
Explanation:
Let A = x
Then B = 3x, C = 2B = 6x
&there4 A : B : C = x : 3x : 6x = 1 : 3 : 6
- 4. If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is?
Options- A. 55 : 77 : 66
- B. 30 : 42 : 77
- C. 35 : 49 : 42
- D. None of these Discuss
Correct Answer: 30 : 42 : 77
Explanation:
L.C.M. of 7 and 6 is 42
? A : B = 5 : 7 = 30 : 42
and B : C = 6 : 11 = 42 : 77
Hence A : B : C = 30 : 42 : 77
- 5. If A : B = 7 : 9 and B : C = 3 : 5 then A : B : C is?
Options- A. 7 : 9 : 5
- B. 21 : 35 : 45
- C. 7 : 9 : 15
- D. 7 : 3 : 15 Discuss
Correct Answer: 7 : 9 : 15
Explanation:
A : B = 7
and B : C = 3 : 5 = 9 : 15
? A : B : C = 7 : 9 : 15
- 6. 0.6 of a number equals 0.09 of another number. The ratio of the number is?
Options- A. 2 : 3
- B. 1 : 15
- C. 20 : 3
- D. 3 : 20 Discuss
Correct Answer: 3 : 20
Explanation:
0.6 x a = 0.09 x b
? a/b = 0.09 / 0.06 = 9 / 60 = 3 / 20 = 3 : 20
- 7. If 10% of A is the same as 20% of B then A : B is equal to?
Options- A. 1 : 2
- B. 2 : 1
- C. 5 : 1
- D. 10 : 1 Discuss
Correct Answer: 2 : 1
Explanation:
10% of A = 20% of B
? 10/100 x A = 20/100 x B
? A/10 = B/5
? A/B = 10/5 = 2
Hence, A : B = 2 : 1
- 8. If A : B = 2 : 3 and B : C =4 : 5, then C : A is equal to?
Options- A. 15 : 8
- B. 12 : 10
- C. 8 : 5
- D. 8 : 15 Discuss
Correct Answer: 15 : 8
Explanation:
A/B = 2/3 and B/C = 4/5
? A/C = (A/B) x (B/C) = (2/3) x (4/5) = (8/15)
So, C : A = 15 : 8
- 9. The proportion of Zinc and Copper in a brass piece is 13 : 7. How much zinc will be there in 100 kg of such a piece?
Options- A. 20 kg
- B. 35 kg
- C. 55 kg
- D. 65 kg Discuss
Correct Answer: 65 kg
Explanation:
? 20 kg of brass contains zinc = 13 kg
? 100 kg of brass contains zinc = (13/20) x 100 kg. = 65 kg.
- 10. One-fourth of the boys and three-eight of the girls in a school participated in the annual sports. What proportional part of the total student population of the school participated in the annual sports?
Options- A. 4/12
- B. 5/8
- C. 8/12
- D. Data inadequate Discuss
Correct Answer: Data inadequate
Explanation:
Data inadequate
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