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A man works twice as fast as a woman. A woman works twice as fast as a child. If 16 men can complete a job in 12 days, how many days would be required for 32 women and 64 boys together to complete the same job?

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Important Questions on Arithmetic

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A tank with capacity TL is empty. If water flows into the tank from pipe X at the rate of XL per min and water is pumped out by pipe Y at the rate of YL per min and X> Y, then in how many min will the tank be filled?
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A can do a piece of work in 60 days, B in 40  days, and C in 12 days. They work for a day each in tum, that is, first day A does it alone, second day B does it alone, and third day C does it alone. After that the, cycle is repeated till the work is finished. They get 270 for this job. If the wages are divided in proportion to the work each had done, find the amount A will get.
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Anand got an order from a boutique for 480 shirts. He brought 12 sewing machines and appointed some expert tailors to do the job. However, many did not reportto duty. As a result, each of those who reported had to stitch 32 more shirts than was originally planned by Anand, with equal distribution of work. How many tailors had been appointed earlier and how many had not reported to work?
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The kingdom of Charles had a circular wall around it and four-city gates pointing north, south, east, and west, respectively. Now, the Shire of Nottingham and the Shire of Birmingham decided to race on the shortest route touching all the four gates. They start at the west gate and one of the shires rides five times as fast as the second. They will meet for the 19th time after they start, at the
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The packing process in a garment factory involves processing by three machines. The first machine, A, inserts the garment in a packet, after which the second machine, B, seals the packet and finally the third machine, C, attaches a price tag to the packet. Machine A takes at least 10 seconds per unit. Machine B takes at least 15 seconds per unit. Machine C takes at least 12 seconds per unit. The factory starts at 8 am and runs non-stop till 6 pm, What is the maximum number of packets that can be processed in a one-hour period?
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P, Q, and R can each complete a certain work in 16, 20, and 30 days, respectively. The three of them start the work together. P leaves after 4 days; Q leaves 4 days before the work is finished. How long did the work last?
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A certain work wasstarted by  4  men and 10 womenwho completed 50% of the work in 6 days. Then, another 2 men and 2 women joined them and they could complete two-third of the remaining work in three days. How many men along with 6 women are required to complete the remaining work in two more days?
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‘A’ can work half as fast as ‘B’ and ‘C’ together. A and B together can work three times as fast as C. If all three of them complete a job in 15 days, how long would C take to complete the same work?