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1.
A can finish a job in 12 days and B in 24 days. Working together, they finish it in:
Correct Answer: D [8 days]
Explanation:
12 × 24/(12 + 24) = 288/36 = 8 days.
2.
Raju can paint a wall in 6 hours. What part of the wall does he paint in 1 hour 30 minutes?
Correct Answer: A [1/4]
Explanation:
1.5 h out of 6 h = 1.5/6 = 1/4.
3.
Selvi completes 20% of a job every day. In how many days does she finish the whole job?
Correct Answer: C [5 days]
Explanation:
20% = 1/5 per day → 5 days.
4.
12 men can build a wall in 15 days. How many men are needed to build it in 10 days?
Correct Answer: B [18]
Explanation:
12 × 15 = 180 man-days; 180 ÷ 10 = 18 men.
5.
A pipe fills a tank in 9 hours and another pipe empties the full tank in 15 hours. If both are opened in the empty tank, it fills in:
Correct Answer: C [22.5 hours]
Explanation:
1/9 − 1/15 = 2/45 → 22.5 hours (outlet is subtracted).
6.
True or false? "If A is twice as efficient as B, then A takes half the time that B takes for the same work."
Correct Answer: B [True]
Explanation:
Time ∝ 1/efficiency: efficiency 2 : 1 → time 1 : 2.
7.
A and B together can do a job in 12 days; A alone can do it in 20 days. B alone can do it in:
Correct Answer: D [30 days]
Explanation:
20 × 12/(20 − 12) = 240/8 = 30 days.
8.
Fill in the blank: If 8 workers finish a job in 9 days, one worker alone finishes it in ____ days.
Correct Answer: A [72]
Explanation:
8 × 9 = 72 worker-days → one worker needs 72 days.
9.
Odd one out – which pair of workers (time taken alone) does NOT finish a job together in exactly 6 days?
Correct Answer: A [8 and 20 days]
Explanation:
8 and 20 → 160/28 = 5 5/7 days; the other pairs give 6 days.
10.
Match the time taken alone with the work done per day: (i) 8 days (ii) 20 days (iii) 4 days (iv) 6 days ; (p) 5% (q) 25% (r) 12.5% (s) 16 2/3%
Correct Answer: B [i-r, ii-p, iii-q, iv-s]
Explanation:
8 days → 12.5%, 20 → 5%, 4 → 25%, 6 → 16 2/3% per day.
11.
Two pipes can fill a tank in 20 minutes and 30 minutes. If both are opened together, the tank fills in:
Correct Answer: D [12 minutes]
Explanation:
20 × 30/50 = 12 minutes.
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