Quiz Discussion

Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. The tank filled up in:

• 1] 39 min.
• 2] 46 min
• 3] 40 min.
• 4] 45 min.

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

Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in:

• 1] 3 days
• 2] 4 days
• 3] 4.5 days
• 4] 5.4 days

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:

• 1]

  \(\frac{{65}}{4}\)

• 2]

  \(\frac{{93}}{3}\)

• 3]

  \(\frac{{51}}{5}\)

• 4]

  60

A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is = ?

• 1] 100 days
• 2] 96 days
• 3] 95 days
• 4] 90 days

A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was stopped after 30 minutes, the tank is filled in 40 minutes. The pipe B can alone fill the tank in:

• 1] 45 minutes
• 2] 60 minutes
• 3] 75 minutes
• 4] 90 minutes

639 persons can repair a road in 12 days working 5 hours a day. In how many days will 30 persons working 6 hours a day complete the work ?

• 1] 210 days
• 2] 213 days
• 3] 214 days
• 4] 215 days

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work ?

• 1] 20 days
• 2] 10 days
• 3] 4 days
• 4] 15 days

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]

  \({ \text{3}}\frac{1}{{13}}{ \text{days}}\)

4 men and 10 women were put on work. They completed \(\frac{1}{3}\) of the work in 4 days. After this 2 men and 2 women were increased. They completed \(\frac{2}{9}\) more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased?

• 1] 8
• 2] 32
• 3] 50
• 4] 55