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# CAT Questions – Time and Work [VIDEO Solutions]

QUESTION 1
Batman is four times more efficient than Bane and thus takes 40 days less than Bane to complete a piece of work. In how many days can Bane alone complete twice the original work?
Video Explanation
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QUESTION 2
A contractor employed 14 workers to get the work done in 90 days. After 30 days, he discovered that only 25% of work got completed. How many more men should he employ to get the work done 18 days before schedule.
1. 16
2. 20
3. 30
4. 32
Option: 1
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QUESTION 3
To complete a certain task, A alone would take p times as many days as B and C working together; B alone would take q times as many days as A and C together; C alone would take r times as many days as A and B together. If number of days taken by each of them working alone is a positive integer and p, q, and r are distinct positive integers, then which of the following can be the ratio of number of days taken by A, B, and C working alone.
1. 2:3:5
2. 3:5:7
3. 1:2:3
4. 1:1:1
Option: 3
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QUESTION 4
A and B together can complete a work in 10 days. B and C together can complete the same work in 12 days and A and C together can complete the work in 15 days. All three work together completed the work and got Rs. 3000 for the work. How much amount (in Rs.) should B get?
1. 1000
2. 1100
3. 1200
4. 1400
Option: 4
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QUESTION 5
There are n pipes, numbering 1 to n, that can fill a cistern, such that any pipe, say pipe x, where x is a positive integer satisfying $3 \le x \le n$ , working alone takes as much time to fill the empty cistern as the previous two pipes i.e. (x-1) and (x-2), taken together. The first and second pipes individually take the same amount of time to fill the cistern. If the fifth pipe takes 68 minutes to fill the cistern, then the seventh and eighth pipes together would take how many minutes to fill the empty cistern.