Aptitude Time and Work Test Paper 9Work and wages:41) Two men do a piece of work for rupees 200. One alone can finish the work in 6 days, and the other can finish it in 8 days. With the help of a boy, they finish it in 3 days. How much money should be given to the boy?
Answer: B Explanation: A can finish the work in 6 days, and B can finish the work in 8 days. Now, A = 6 days Note: Assume the total work = LCM of the given days Take the LCM of days = LCM of (6, 8, and 3) = 24 Or, A's one day work = 24/6=4 Or, A: B: C = 4:3:1 42) Wages for 45 women amount to rupees 15525 in 48 days. How many men require to work 16 days to receive rupees 5750, the daily wages of a man being double of those of a woman?
Answer: A Explanation: Apply the formula: M1 * D1 * E1 * W2 = M2 * D2 * E2 * W1 Where E = efficiency or wages, and W = work or amount ATQ, M1 = 45, D1 = 48, E1 = 1, W1 = 15525 Now, 45 * 48 * 1 * 5750 = M2 * 16 * 2 *15525 Hence, 25 men required. 43) 3 men and 4 children can earn Rs 756 in 7 days. 11 men and 13 children can earn Rs 3008 in 8 days. In what time will 7 men with 9 children earn Rs 2480?
Answer: D Explanation: 3M + 4C earns 756 in 7 days Similarly, (11M + 13C)'s one day earning = 3008/8 = 376......... (ii) From equation 1 and 2 3M + 4C = 108 11* [3M+4C] = 108 * 11, or, 33M + 44C = 1188....... (iii) 3* [11M+13C] = 376* 3, or, 33M + 39C= 1128....... (iv)Now subtract equation iv by iii. i.e., 5C = 60 That means 1children earns 12 rupees per day 3M+ 4C=108 That means 1M earns 20 rupees per day ATQ, 7M + 9C earns 2480 in D days........ (v) Now, put the earned value by M and C per day in equation 5. 7*20 + 9*12 = 248 44) A, B, and C together earn Rs 1350 in 9 days. A and C together earn Rs 470 in 5 days. B and C together earn 760 in 10 days. Find the daily earning of C.
Answer: B Explanation: ATQ, (A+B+C) earn 1350 in 9 days Similarly, (A+C)'s one day earning = 470/5= 94...... (ii) (B+C)'s one day earning = 760/10 = 76........ (iii) Now, put the value of (B+C) from equation iii, in equation i A + 76 =150 Now put A's one day earning in eq. ii A + C = 94 Hence, C earns 20 Rs per day. 45) A, B, and C undertakes to do work for Rs 707. A, and B together do 5/7 of the work and rest is done by C alone. How much should C get?
Answer: D Explanation: Let the work = 7 Aptitude Time and Work Test Paper 1 Aptitude Time and Work Test Paper 2 Aptitude Time and Work Test Paper 3 Aptitude Time and Work Test Paper 4 Aptitude Time and Work Test Paper 5 Aptitude Time and Work Test Paper 6 Aptitude Time and Work Test Paper 7 Aptitude Time and Work Test Paper 8 Time and Work Concepts
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