Quantitative Aptitude
Time and Work
2,195 Questions
Time and Work Questions
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$30$ days
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$20$ days
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$15$ days
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$18$ days
A
Correct answer
Explanation
10 tractors do 1/6 work in 12 days. 1 tractor does 1/6 work in 120 days. 1 tractor does 1 work in 720 days. 20 tractors do 5/6 work in (720 * 5/6) / 20 = 600 / 20 = 30 days.
D
Correct answer
Explanation
Original workers = 12, days = 10. New workers = 12 * (1/3) = 4. Using M1D1 = M2D2, 12 * 10 = 4 * D2, so D2 = 30 days. The question asks for 'how many more days', which is 30 - 10 = 20.
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$12$ days
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$30$ days
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$24$ days
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$20$ days
A
Correct answer
Explanation
Since 4 men do the same work as 6 women, 1 man equals 1.5 women. Thus 2 men and 12 women equal 15 women, and the work requires 6 × 30 = 180 woman-days. The required time is 180 ÷ 15 = 12 days.
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$Rs. 130$
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$Rs. 185$
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$Rs. 70$
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Can't be determined
C
Correct answer
Explanation
Kaushlaya (K) = 1/20, Kaikeyi (Kk) = 1/25. In 10 days, K does 10/20 = 1/2 work, Kk does 10/25 = 2/5 work. Total work done by K and Kk = 1/2 + 2/5 = 9/10. Sumitra (S) did 1 - 9/10 = 1/10 of the work. Share of S = (1/10) * 700 = 70.
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$10\ days$
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$12\ days$
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$15\ days$
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$16\ days$
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3 days
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4 days
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5 days
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6 days
C
Correct answer
Explanation
8 women = 10 days, so 1 woman = 80 days. 10 children = 16 days, so 1 child = 160 days. 10 women + 12 children work rate = 10/80 + 12/160 = 1/8 + 3/40 = 5/40 + 3/40 = 8/40 = 1/5. Time taken = 5 days.
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$5\displaystyle\frac{5}{11}$
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$5\displaystyle\frac{6}{11}$
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$6\displaystyle\frac{5}{11}$
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$6\displaystyle\frac{6}{11}$
A
Correct answer
Explanation
P's total work time = 12 * 8 = 96 hours. Q's total work time = 8 * 10 = 80 hours. Rates: P = 1/96, Q = 1/80. Combined rate = (5+6)/480 = 11/480. Time for 8 hours/day = (480/11) / 8 = 60/11 = 5 and 5/11 days.
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$\;12$
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$\;36$
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$\;48$
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$\;24$
D
Correct answer
Explanation
This is an inverse proportion problem. 30 men * 16 days = X men * 20 days. X = (30 * 16) / 20 = 480 / 20 = 24.
B
Correct answer
Explanation
Let x be the number of men. Work = 9x. With 6 men absent, work = 15(x-6). Setting 9x = 15x - 90, we get 6x = 90, so x = 15.
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$12$ days
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$24$ days
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$36$ days
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$16$ days
B
Correct answer
Explanation
X+Y rate = 1/8. X rate = 1/12. Y rate = 1/8 - 1/12 = 3/24 - 2/24 = 1/24. Y takes 24 days.
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$4$ days
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$6$ days
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$8$ days
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$18$ days
A
Correct answer
Explanation
B takes 12 days, so B's rate is 1/12. A is twice as fast, so A's rate is 2/12 = 1/6. Combined rate = 1/12 + 1/6 = 3/12 = 1/4. Together they take 4 days.
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$10$ hours
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$11$ hours
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$12$ hours
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$14$ hours
A
Correct answer
Explanation
Total work = 8 hours/day * 5 days = 40 man-hours. To complete in 4 days, hours/day = 40 / 4 = 10 hours.
D
Correct answer
Explanation
Use M1*D1*H1 / W1 = M2*D2*H2 / W2. (12 * 30 * 9) / 1 = (M2 * 24 * 5) / 10. 3240 = M2 * 120 / 10 = 12 * M2. M2 = 3240 / 12 = 270.
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24days
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25days
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30days
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35days
C
Correct answer
Explanation
This is an inverse proportion problem. The total work is 12 men * 20 days = 240 man-days. If 8 men are employed, the time required is 240 / 8 = 30 days.