Discussion
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- Question
- 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
- Correct Answer
- 4 : 15
ExplanationGiven, 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 - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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 Discuss
- 6. 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
- 7. Calculate the 3rd proportional to 15 and 30.
Options- A. 55
- B. 15
- C. 65
- D. 60 Discuss
- 8. Find the mean proportional between 9 and 64.
Options- A. 25
- B. 24
- C. 27
- D. 35 Discuss
- 9. If P 2 + 4Q 2 = 4PQ, then determine P : Q.
Options- A. 1 : 3
- B. 3 : 1
- C. 2 : 1
- D. 1 : 2 Discuss
- 10. 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
Ratio and Proportion problems
Search Results
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: x : 9 = 4 : y
Explanation:
xy =36
? xy = 4 x 9,
? x/9 = 4/y
? x : 9 = 4 : y
Correct Answer: 4 : 5 : 6
Explanation:
1/2 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
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: 60
Explanation:
Let 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
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
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