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- Question
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Options- A. 8, 20, 28
- B. 16, 28, 36
- C. 20, 35, 45
- D. None of these
- Correct Answer
- 16, 28, 36
ExplanationLet their present ages be 4x, 7x and 9x years respectively.Then, (4x - 8) + (7x - 8) + (9x - 8) = 56
⟹ 20x = 80
⟹ x = 4.
∴ Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.
More questions
- 1. 0.0169 / 0.013=?
Options- A. .13
- B. .013
- C. 1.3
- D. 13 Discuss
Correct Answer: 1.3
Explanation:
0.0169 / 0.0130 = 169 / 130
= 13 / 10- 2. Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :
Options- A. x 2 ?2
- B. x 4
- C. x ?2
- D. x ?2 Discuss
Correct Answer: x 2 ?2
Explanation:
- 3. If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is?
Options- A. 3 / 7
- B. 34
- C. 1
- D. 2 Discuss
Correct Answer: 1
Explanation:
Given Exp. = 4 / 7 + {(2q - p) / (2q + p)}
Dividing numerator as well as denominator by q,
Exp = 4/7 + {2-p/q) / (2 + p/q)}
= 4/7 + {(2 - 4/5) / (2 + 4/5)}
= 4/7 + 6/14
= 4/7 + 3/7
=7/7
=1.- 4. What is 25% of 25% is equal to?
Options- A. 6.25
- B. .625
- C. .0625
- D. .000625 Discuss
Correct Answer: .0625
Explanation:
25% of 25% = (25/100) x (25/100) = 625/10000 = 0.625
- 5. The number .05 is hoe many percent of 20?
Options- A. 25
- B. .025
- C. .25
- D. 2.5 Discuss
Correct Answer: .25
Explanation:
Let y% of 20 = .05
Then, (y x 20)/100 = .05
? y = .25- 6. Find the lowest common multiple of 24, 36 and 40.
Options- A. 120
- B. 240
- C. 360
- D. 480 Discuss
Correct Answer: 360
Explanation:
2 | 24 - 36 - 40 -------------------- 2 | 12 - 18 - 20 -------------------- 2 | 6 - 9 - 10 ------------------- 3 | 3 - 9 - 5 ------------------- | 1 - 3 - 5 L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.
- 7. 8 1/ 3% expressed as a fraction is?
Options- A. 25/3
- B. 3/25
- C. 1/12
- D. 1/4 Discuss
Correct Answer: 1/12
Explanation:
81/3% = (25/3 x 1/100) = 1/12
- 8. .025 in terms of term of rate per cent is?
Options- A. .25%
- B. 2.5%
- C. 0.25%
- D. 371/2% Discuss
Correct Answer: 2.5%
Explanation:
.025 = (25/1000) x 100% = 2.5%
- 9. What percentage of 2/7 is 1/35?
Options- A. 2.5%
- B. 10%
- C. 25%
- D. 20% Discuss
Correct Answer: 10%
Explanation:
Let N% of 2/7 is 1/35
? (2/7 x N) / 100 = 1/35
? N = 1/35 x 7/2 x 100 = 10%- 10. A sum of ? 4000 is lent out in two parts, one at 8% simple interest and other at 10% simple interest. If the annual interest is ? 352, the sum lent at 8% is
Options- A. ? 1600
- B. ? 2400
- C. ? 1800
- D. ? 2800 Discuss
Correct Answer: ? 2400
Explanation:
Let the money interest at 8% interest be ? P .
Then, the money interest at 10% interest = ?(4000 - P)
According to the question,
(P x 8 x 1)/100 + [(4000 - P) x 10 x 1]/100 = 352
? 8P + 40000 - 10P = 35200
? 40000 - 35200 = 2P
? P = 4800/2 = ? 2400
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