Quiz Discussion

A cistern can be filled by two pipes in 20 and 30 minutes respectively. Both pipes being opened, when the first pipe must be turned off so that the cistern may be filled in 10 minutes more.

• 1] After 10 minutes
• 2] After 12 minutes
• 3] After 20 minutes
• 4] After 8 minutes

A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work. A leaves off. The total number of days to complete the work is ?

• 1]

  \({ \text{6}}\frac{3}{5}\)

• 2]

  \({ \text{8}}\frac{1}{2}\)

• 3]

  \({ \text{10}}\frac{1}{5}\)

• 4]

  \({ \text{13}}\frac{1}{2}\)

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  12 days

A and B can together do a piece of work it in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is ?

• 1] 18 days
• 2] 24 days
• 3] 9 days
• 4] 12 days

A company employed 200 workers to complete a certain work in 150 days. If only \(\frac{1}{4}\) th of the work had been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed were?

• 1] 100
• 2] 600
• 3] 300
• 4] 200

A can do a piece of work in 10 days, B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are ?

• 1] Rs. 150
• 2] Rs. 225
• 3] Rs. 250
• 4] Rs. 300

16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work ?

• 1] 4 days
• 2] 6 days
• 3] 8 days
• 4] 10 days

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 = ?

• 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]

  \(\frac{{{{ \text{n}}^{ \text{3}}}}}{{{{ \text{p}}^{ \text{2}}}}}\)

40 men can complete a piece of work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ?

• 1] 6 days
• 2] 8 days
• 3] 10 days
• 4] 12 days

A can write 75 pages in 25 hours. A and B together can write 135 pages in 27 hours. In what time can B write 42 pages ?

• 1] 17 hrs
• 2] 19 hrs
• 3] 21 hrs
• 4] 23 hrs