P, Q, R share Rs. 6000. R gets 2/3 of the total. His share is ____. A. Rs. 3000 B. Rs. 3600 C. Rs. 2400 D. Rs. 4000 Explanation: 2/3 of 6000 = 4000.
P, Q, and R take 24, 6, and 12 days, respectively. Time together is ____. A. 2 B. 3 3/7 C. 4¼ D. 5 Explanation: Sum of rates gives 3 3/7 days.
If Q alone does work in 12 days and P is twice as fast, time together is ____. A. 1 B. 2 C. 3 D. 4 Explanation: The combined rate gives 4 days.
If P takes twice time of Q and thrice of R, total time taken is ____. A. 7 B. 8 C. 9 D. 6 Explanation: Relative ratios simplify to 6.
If P is 6 times Q, what percent is Q less than P? A. 83⅓% B. 16⅔% C. 90% D. 60% Explanation: Q = 1/6 P → decrease = 83⅓%.
If P does work in 15 days and Q in 20 days, their work ratio is ____. A. 8/15 B. 7/15 C. 11/15 D. 2/11 Explanation: Ratio = inverse of time.
If P is 30% more efficient than Q and P takes 23 days, Q takes ____. A. 9 B. 11 C. 23 D. 13 Explanation: Q’s time = 23 × 1.3 = 30 approx.
P lays railway track in 16 days. Q does the same in 24 days. Together they finish in ____. A. 9⅗ days B. 9⅕ days C. 9⅖ days D. 10 days Explanation: The combined rate yields 9⅗ days.
If P finishes work in 18 days and Q in 15 days, and Q leaves after 10 days, remaining work is done in ____. A. 8 B. 6 C. 4 D. 2 Explanation: Remaining work divided by P’s rate.
If P works alone takes same time as Q and R together, time taken by P is ____. A. 30 days B. 25 days C. 20 days D. 15 days Explanation: Based on the equality of work rates.