Discussion
Home ‣ Aptitude ‣ Ratio and Proportion Comments
- Question
- If 1/2 of A = 2/5 of B = 1/3 of C, then A : B : C is equal to?
Options- A. 4 : 5 : 6
- B. 6 : 4 : 5
- C. 5 : 4 : 6
- D. 4 : 6 : 5
- Correct Answer
- 4 : 5 : 6
Explanation1/2 of A = 2/5 of B = 1/3 of C
1/2 x A = 2/5 x B = 1/3 x C
Let A/2 = 2B/5 = C/3 = K
Then, A = 2K, B = 5K/2, C = 3K
? A: B : C = 2k : 5k/2 : 3k
? A: B : C = 4 : 5 : 6 - 1. If a/3 = b/8, then ( a + 3 ) : ( b + 8 ) is equal to?
Options- A. 3 : 8
- B. 8 : 3
- C. 5 : 8
- D. 3 : 5 Discuss
- 2. If 1/x : 1/y : 1/z = 2 : 3 : 5, then determine x : y : z .
Options- A. 6 : 15 : 10
- B. 3 : 15 : 10
- C. 15 : 3 : 10
- D. 15 : 10 : 6 Discuss
- 3. If 0.8 x A = 0.09 x B, then find A : B.
Options- A. 9 : 80
- B. 3 : 80
- C. 80 : 9
- D. 7 : 80 Discuss
- 4. If A = B/4 and B = C/2, then find the value of A : B : C?
Options- A. 8 : 4 : 1
- B. 4 : 2 : 1
- C. 1 : 4 : 8
- D. 1 : 2 : 4 Discuss
- 5. If P : Q : R = 2 : 3 : 4, then find P/Q : Q/R : R/P?
Options- A. 8 : 9 : 24
- B. 9 : 8 : 24
- C. 24 : 8 : 9
- D. 8 : 24 : 9 Discuss
- 6. If xy =36, then which of the following is correct?
Options- A. x : 9 = 4 : y
- B. 9 : x = 4 : y
- C. x :17 = y : 7
- D. x : 6 = y : 6 Discuss
- 7. The total number of students in school is 2140. If the number of girls in the school is 1200, then what is the ratio of the total number of boy to the total number of girls in the school?
Options- A. 26 : 25
- B. 47 : 60
- C. 18 : 13
- D. 31 : 79 Discuss
- 8. The speed of three cars in the ratio of 2 : 3 : 4 Find the ratio between the time taken by these cars to cover the same distance?
Options- A. 2 : 3 : 4
- B. 4 : 3 : 2
- C. 4 : 3 : 6
- D. 6 : 4 : 3 Discuss
- 9. If P : Q : = 8 : 15 and Q : R = 3 : 2, then find P : Q : R
Options- A. 8 : 15 : 7
- B. 7 : 15 : 8
- C. 8 : 15 : 10
- D. 10 : 15 : 8 Discuss
- 10. If P : Q = 8 : 15, Q : R = 5 : 8 and R : S = 4 : 5, then P : S is equal to
Options- A. 4 : 15
- B. 2 : 15
- C. 3 : 19
- D. 7 : 15 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 3 : 8
Explanation:
Let a/3 = b/8 = K
Then, a = 3K, b = 8K
? (a + 3) / (b + 8) = (3K + 3) / (8K + 8)
= [3( K + 1)] / [8(K+1)] = 3/8
? ( a + 3 ) : (b + 8) = 3 : 8
Correct Answer: 15 : 10 : 6
Explanation:
Let 1/x = 2K, 1/y = 3K and 1/z = 5K
Then, x = K/2, Y = K/3 and z = K/5
? x : y : z = K/2 : K/3 : K/4
= 1/2 : 1/3 : 1/5
= 15 : 10 : 6
Correct Answer: 9 : 80
Explanation:
Given that 0.8 x A = 0.09 x B
? A/B = 0.09/0.8 = 9/80
? A : B = 9 :80
Correct Answer: 1 : 4 : 8
Explanation:
Given that, A = B/4
? A/B = 1/4 or A : B = 1 : 4
Also, B = C/2 or B/C = 1/2 or B : C = 1 :2
Now, we have A : B = 1 : 4; B : C = 1 : 2
A : B : C = ( 1 x 1 ) : ( 1 x 4 ) : ( 2 x 4 )
= 1 : 4 : 8
Correct Answer: 8 : 9 : 24
Explanation:
Given that, P : Q : R = 2 : 3 : 4
Let P = 2K, Q = 3K, R = 4K
? P/Q = 2K/3K = 2/3,
Q/R = 3K/4K = 3/4,
R/P = 4K/2K = 2/1
? P/Q : Q/R : R/P = 2/3 : 3/4 : 2/1
= (2 x 12)/3 : (3 x 12)/ 4 : (2 x 12)/1
= (2 x 4) : (3 x 3) : 24
= 8 : 9 : 24
Correct Answer: x : 9 = 4 : y
Explanation:
xy =36
? xy = 4 x 9,
? x/9 = 4/y
? x : 9 = 4 : y
Correct Answer: 47 : 60
Explanation:
Number of boy = ( 2140 - 1200 ) = 940
? Boys : Girls = 940 : 1200 = 47 : 60
Correct Answer: 6 : 4 : 3
Explanation:
Ratio of Speed = 2 : 3 : 4
Ratio of time taken = (1/2) : (1/3) : (1/4) = 6 : 4 : 3
Correct Answer: 8 : 15 : 10
Explanation:
Given that, P : Q = 8 : 15, Q : R = 3 : 2
P : Q : R = (8 x 3) : (15 x 3) : (15 x 2) = 24 : 45 : 30
? P : Q : R = 8 : 15 : 10
Here, consequent of first ratio should be equal to the antecedent of second ratio.
Correct Answer: 4 : 15
Explanation:
Given, P/Q = 8/15, Q/R = 5/8, R/S = 4/5
? P/S = (P/Q) x (Q/R) x (R/S)
? P/S = (8/15) x (5/8) x (4/5) = 4/15
? P : S = 4 : 15
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