Discussion
Home ‣ Aptitude ‣ Ratio and Proportion Comments
- Question
- Calculate the 3rd proportional to 15 and 30.
Options- A. 55
- B. 15
- C. 65
- D. 60
- Correct Answer
- 60
ExplanationLet the 3rd proportional = k
Then, 15 : 30 : : 30 : k
? 15/30 = 30/k
? 15k = 30 x 30
? 15k = 30 x 30
? k = (30 x 30) / 15 = 60 - 1. If A : B = 2 : 3, B : C = 5 : 7 and C : D = 3 : 10, then what is A : D equal to?
Options- A. 1 : 7
- B. 2 : 7
- C. 1 : 5
- D. 5 : 1 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. Find the mean proportional between 9 and 64.
Options- A. 25
- B. 24
- C. 27
- D. 35 Discuss
- 7. If P 2 + 4Q 2 = 4PQ, then determine P : Q.
Options- A. 1 : 3
- B. 3 : 1
- C. 2 : 1
- D. 1 : 2 Discuss
- 8. If P : Q = 7 : 5, then what is the value of (5P - 2Q) : (3P + 2Q)?
Options- A. 5/4
- B. 6/5
- C. 25/31
- D. 31/42 Discuss
- 9. Two number are in the ratio of 4 : 7. If 5 is subtracted from each, the ratio becomes 1 : 2. Find the greater number.
Options- A. 15
- B. 40
- C. 20
- D. 35 Discuss
- 10. What sum of money is to divided among 3 persons in the ratio 3 : 4 : 7, so that the second person receives ? 12 only?
Options- A. ? 21
- B. ? 32
- C. ? 9
- D. ? 42 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 1 : 7
Explanation:
Here, A : B = 2 : 3, B : C = 5 : 7 and C : D = 3 : 10
? A/D = (A/B) x (B/C) x (C/D)
= (2/3) x (5/7) x (3/10)
= 1/7
? A : D = 1 : 7
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
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: 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: 47 : 60
Explanation:
Number of boy = ( 2140 - 1200 ) = 940
? Boys : Girls = 940 : 1200 = 47 : 60
Correct Answer: 24
Explanation:
Required mean proportional = ?9 x 64
= 3 x 8 = 24
Correct Answer: 2 : 1
Explanation:
P2 + 4Q2 = 4PQ
? P2 + 4Q2 - 4PQ = 0
? (P - 2Q)2 = 0
? P - 2Q = 0
? P = 2Q
? P/Q = 2/1
? P : Q = 2 : 1
Correct Answer: 25/31
Explanation:
Given, P/Q = 7/5
? (5P - 2Q) / (3P + 2Q) = (5 x 7 - 2 x 5) / (3 x 7 + 2 x 5)
= (35 - 10) / (21 + 10)
= 25/31
Correct Answer: 35
Explanation:
Let 1st number be 4k and 2nd number be 7k.
According to the question,
(4k - 5) / (7k - 5) = 1/2
? 8k - 10 = 7k - 5
? 8k - 7k = 10 - 5
? k = 5
? Greater number = 7k = 7 x 5 = 35
Correct Answer: ? 42
Explanation:
Let required money be ? N.
Then,
(4/14) x N = 12
? N = (12 x 14)/4
= ? 42
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