A group of 12 men can do a piece of work in 14 days and othe...

A group of 12 men can do a piece of work in 14 days and other group of 12 women can do the same work in 21 days. They begin together but 3 days before the completion of work, man's group leaves off. The total number of days to complete the work is:

Course Name: Quantitative Aptitude

1]
$\frac{{65}}{4}$
2]
$\frac{{93}}{3}$
3]
$\frac{{51}}{5}$
4]
60

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1 Discuss	If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m ? 1] 30 2] 10 3] 18 4] 28 Solution
10 Discuss	A's 2 days work is equal to B's 3 days work. If A can complete the work in 8 days, then to complete the work B will take ? 1] 15 days 2] 12 days 3] 16 days 4] 14 days Solution
2 Discuss	A and B can together finish a piece of work in 30 days. They worked on it 20 days and then B left. The remaining work was done by A alone in 20 days. A alone can finish the work in = ? 1] 60 days 2] 54 days 3] 48 days 4] 50 days Solution
3 Discuss	A and B work together to complete the rest of a job in 7 days. However, $\frac{{37}}{{100}}$ the job was already done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to complete the entire work? 1] 20 2] 25 3] 30 4] 10 Solution
4 Discuss	P is thrice as good a workman as Q and together they finish a piece of work in 24 days. The number of days taken by P alone to finish the work is: 1] 25 days 2] 22 days 3] 32 days 4] 34 days Solution
5 Discuss	A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? 1] 12 days 2] 15 days 3] 16 days 4] 18 days Solution
6 Discuss	6 men can complete a piece of work in 12 days, 8 women can complete the same piece of work in 18 days and 18 children can do it in 10 days. 4 men, 12 women and 20 children do the work for 2 days. If the remaining work be completed by men only in 1 day, how many men will be required ? 1] 36 2] 24 3] 18 4] Cannot be determined Solution
7 Discuss	Ganga and Saraswati, working separately can mow field in 8 and 12 hours respectively. If they work in stretches of one hour alternately. Ganga is beginning at 9 a.m., when will the moving be completed? 1] 6:20 PM 2] 6:30 PM 3] 6:36 PM 4] 6:42 PM Solution
8 Discuss	If two persons, with equal abilities, can do two jobs in two days then 100 persons with equal abilities can do 100 similar jobs in = ? 1] 100 days 2] 10 days 3] 5 days 4] 2 days Solution
9 Discuss	A group of men decided to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning? 1] 240 2] 140 3] 280 4] 150 5] None of these Solution
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