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 4 hours, B and C together in 3 hours, and A and C together in 2 hours. How long will B alone take to do it ?

• 1] 8 hours
• 2] 10 hours
• 3] 12 hours
• 4] 24 hours

A and B together can do a job in 2 days; B and C can do it in 4 days; A and C in \({ \text{2}}\frac{2}{5}\) days. The number of days required for A to do the job alone is = ?

• 1] 1
• 2] 3
• 3] 6
• 4] 12

Working together, Asha and Sudha can complete an assigned task in 20 days. However, if Asha worked alone and completed half the work and then Sudha takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Asha take to complete the if she worked alone ? Assume that Sudha is more efficient than Asha.

• 1] 25 days
• 2] 30 days
• 3] 60 days
• 4] 65 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

X takes 4 days to complete one-third of a job. Y takes 3 days to complete one-sixth of the job and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.

• 1] 6 days
• 2] 8.1 days
• 3] 5.1 days
• 4] 7 days
• 5] None of these

A, B and C can complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work 5 days before its completion. B also left the work 2 days after A left. In how many days was the work completed ?

• 1] 4
• 2] 5
• 3] 7
• 4] 8

The daily wages of A and B respectively are Rs. 3.50 and Rs. 2.50. When A finishes a certain work, he gets a total wage of Rs. 63. When B does the same work, he gets a total wage Rs. 75. If both of them do it together what is cost of the work ?

• 1] Rs. 67.50
• 2] Rs. 27.50
• 3] Rs. 60.50
• 4] Rs. 70.50

P and Q together can do a job in 6 days. Q and R can finish the same job in \(\frac{{60}}{7}\) days. P started the work and worked for 3 days. Q and R continued for 6 days to finish the work. Then the difference of days in which R and P can complete the alone is P can complete the job alone is ?

• 1] 10 days
• 2] 8 days
• 3] 12 days
• 4] 15 days

A is thrice as good a workman as B and so takes 60 days less than B for doing a job. The time in which they can do the job together is = ?

• 1]

  \(22\frac{1}{2}{ \text{days}}\)

• 2]

  30 days

• 3]

  45 days

• 4]

  60 days