If p men working p hours per day for p days produce p units ...

If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for days is = ?

Course Name: Quantitative Aptitude

1]
$\frac{{{{ \text{p}}^{ \text{2}}}}}{{{{ \text{n}}^{ \text{2}}}}}$
2]
$\frac{{{{ \text{p}}^{ \text{3}}}}}{{{{ \text{n}}^{ \text{2}}}}}$
3]
$\frac{{{{ \text{n}}^{ \text{2}}}}}{{{{ \text{p}}^{ \text{2}}}}}$
4]
$\frac{{{{ \text{n}}^{ \text{3}}}}}{{{{ \text{p}}^{ \text{2}}}}}$

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#	Quiz
1 Discuss	A can do three times the work done by B in one day. They together finish $\frac{2}{5}$ of the work in 9 days. The number of days by which B can do the work alone is? 1] 120 days 2] 100 days 3] 30 days 4] 90 days Solution
10 Discuss	A, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together, they will complete the same work in ? 1] $\frac{7}{{24}}{ \text{days}}$ 2] ${ \text{3}}\frac{3}{7}{ \text{days}}$ 3] 4 days 4] ${ \text{3}}\frac{1}{{13}}{ \text{days}}$ Solution
2 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
3 Discuss	A road of 5 m length will be constructed in 100 days. So, 280 workers were employed. But after 80 days it was found that only ${ \text{3}}\frac{1}{2}$ km road was completed. Now, how many more people were needed to finish the work in the specified time? 1] 480 2] 80 3] 200 4] 100 Solution
4 Discuss	A is thrice good a workman as B and therefore is able to finish a job in 40 days less than B. Working together they can do it in: 1] 15 days 2] 16 days 3] 18 days 4] 20 days Solution
5 Discuss	Ram Lal is a renowned packager of fruits in Varanasi. He packs 70 mangoes or 56 guavas every day working 7 hours a day. His wife also helps him. She packs 30 mangoes or 24 guavas working 6 hours per day. Ram Lal has to pack 3300 mangoes and 2400 guavas with help of his wife. They works alternately, each day 10 hours. His wife started packaging firs day and works every alternate days. Similarly, Ram Lal started his work second day and and worked alternatively till the completion of the work. In how many days the work will finished? 1] $85\frac{3}{2}$ 2] 85 3] 84 4] 80 5] None of these Solution
6 Discuss	Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work that when work together. If B worked alone, would take ${ \text{4}}\frac{1}{2}$ hours more than when working together. The time required to finish the work together is =? 1] 5 hours 2] 8 houras 3] 4 hours 4] 6 hours Solution
7 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
8 Discuss	Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is: 1] 15 2] 16 3] 18 4] 25 Solution
9 Discuss	If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work? 1] 60 2] 45 3] 40 4] 30 Solution
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