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- Question
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
Options- A. 30 days
- B. 40 days
- C. 60 days
- D. 70 days
- Correct Answer
- 60 days
ExplanationLet A's 1 day's work = x and B's 1 day's work = y.Then, x + y = 1 and 16x + 44y = 1. 30 Solving these two equations, we get: x = 1 and y = 1 60 60 ∴ B's 1 day's work = 1 . 60 Hence, B alone shall finish the whole work in 60 days.
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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