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# Time and Work GATE 2024 Fundamental Quiz

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Question 1

A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone. Complete 50% of the same work?

Question 2

A group of men decided to do a work in 26 days, but five of them remained absent. If the rest of the group could complete the work in 28 days, then how many men were in the original group?

Question 3

A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. They start the work together and completed the work such that B was not working on last 2 days A did not work in last 3 days. In how many days (total) was the work completed?

Question 4

A can complete 25% of a work in 15 days, He works for 15 days and then B alone finishes the remaining work in 30 days. In how many days will A and B working together finish 50% of the same work?

Question 5

Five men and 2 boys can do in 30 days as much work as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?

Question 6

If 4 men and 6 boys can do a work in 8 days and 6 men and 4 boys can do the same work in 7 days, then how many days will 5 men and 4 boys take to do the same work?
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