Discussion
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- Question
- 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
- Correct Answer
- 35
ExplanationLet 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 - 1. 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
- 2. If P 2 + 4Q 2 = 4PQ, then determine P : Q.
Options- A. 1 : 3
- B. 3 : 1
- C. 2 : 1
- D. 1 : 2 Discuss
- 3. Find the mean proportional between 9 and 64.
Options- A. 25
- B. 24
- C. 27
- D. 35 Discuss
- 4. Calculate the 3rd proportional to 15 and 30.
Options- A. 55
- B. 15
- C. 65
- D. 60 Discuss
- 5. 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
- 6. 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
- 7. The price of a scooter and a television are in the ratio of 8 : 7. If a scooter costs ? 2000 more than television, then find out the price of television.
Options- A. ? 14000
- B. ? 28000
- C. ? 10000
- D. ? 18000 Discuss
- 8. The Ratio Between the rates of walking of A and B is 2: 3. If the time taken by B to cover a certain distance is 36 minutes, then time taken by A to cover that much distance is?
Options- A. 24min.
- B. 54min
- C. 48min
- D. 21.6min Discuss
- 9. The sum of three numbers is 68. If the ratio between first and second be 2 : 3 and that between second and third be 5 : 3, then the second number?
Options- A. 30
- B. 20
- C. 58
- D. 48 Discuss
- 10. Three number are in the ratio 3 :4 : 5 . The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is?
Options- A. 20
- B. 27
- C. 39
- D. 52 Discuss
Ratio and Proportion problems
Search Results
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: 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: 24
Explanation:
Required mean proportional = ?9 x 64
= 3 x 8 = 24
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: 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: ? 42
Explanation:
Let required money be ? N.
Then,
(4/14) x N = 12
? N = (12 x 14)/4
= ? 42
Correct Answer: ? 14000
Explanation:
Let the price of scooter = 8k and price of television = 7k
According to the question,
8k - 7k = 2000
? k = 2000
? Price of television = 7k = 7 x 2000
= ? 14000
Correct Answer: 54min
Explanation:
Ratio of times taken = 1/2: 1/3
1/2 : 1/3 = y : 36
1/3y = 1/2 x 36
y=54 min
Correct Answer: 30
Explanation:
Let the 3 numbers are a, b, c.
Then, a/b = 2/3, b/c = 5/3
? a/b = (2 x 5) / (3 x 5) = 10/15
and b/c = (5 x 3)/(3 x 3) = 15/9
? a : b : c = 10 : 15 : 9
Let the number be 10y, 15y and 9y.
Then, 10y + 15y + 9y = 68
? 34y = 68
? y = 2
? Second number = 15y
= 15 x 2
= 30.
Correct Answer: 39
Explanation:
Let the numbers be 3N, 4N and 5N.
Then, 5N + 3N = 4N + 52
? 4N = 52
? N = 13
? Then smallest number = 3N = 3 x13 = 39.
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