Quiz Discussion

A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were

• 1]

  12

• 2]

  15

• 3]

  18

• 4]

  24

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

Three pipes A,B and C attached to a cistern. A can fill it in 10 min, B in 15 min, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had left open, he closes it and the cistern now gets filled in 2 min. In how much time the pipe C, if opened alone, empty the full cistern?

• 1] 12 min
• 2] 16 min
• 3] 18 min
• 4] 15 min
• 5] None of these

Find in what ratio will the total wages of the workers of a factory be increased or decreased if there is a reduction in the number of workers in the ratio 13 : 10 and an increment in their wages in the ratio 15: 26.

• 1]

  6/5

• 2]

  1/5

• 3]

  3/5

• 4]

  7/6

25 men with 10 boys can do in 6 days as much work as 21 men with 30 boys can do in days. How many boys must help 40 men to do the same work in 4 days ?

• 1] 5
• 2] 10
• 3] 20
• 4] 40

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

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

• 1] Rs. 375
• 2] Rs. 400
• 3] Rs. 600
• 4] Rs. 800

If m men can do a work in r days, then the number of days taken by (m + n) men to do it is :

• 1]

  \(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mn}}}}\)

• 2]

  \(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mr}}}}\)

• 3]

  \(\frac{{{ \text{mr}}}}{{{ \text{m}} + { \text{n}}}}\)

• 4]

  \(\frac{{{ \text{r}}\left( {{ \text{m}} + { \text{n}}} \right)}}{{{ \text{mn}}}}\)

A does half as much work as B in one-sixth of the time. If together they take 10 days to complete a work. How much time shall B alone take to do it ?

• 1] 30 days
• 2] 40 days
• 3] 50 days
• 4] 70 days

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  18 days