Quiz Discussion

Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all three pipes are open, empty tanks become full in one hour. The capacity of the tank (in gallons) is:

• 1] 800 gallons
• 2] 600 gallons
• 3] 500 gallons
• 4] 400 gallons

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

• 1]

  \(\frac{1}{4}\)

• 2]

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

• 3]

  \(\frac{7}{{15}}\)

• 4]

  \(\frac{8}{{15}}\)

A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall ?

• 1]

  \({ \text{6}}\frac{1}{3}{ \text{ days}}\)

• 2]

  7 days

• 3]

  \({ \text{7}}\frac{1}{3}{ \text{ days}}\)

• 4]

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

Five men are working to complete a work in 15 days. After five days 10 women are accompanied by them to complete the work in next 5 days. If the work is to be done by women only, then in how many days could the work be over if 10 women have started it ?

• 1] 10 days
• 2] 12 days
• 3] 15 days
• 4] 18 days

If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m ?

• 1] 30
• 2] 10
• 3] 18
• 4] 28

4 mat-weavers can weave 4 mats in 4 days. At the same rate how many mats would be woven by 8 mat-weavers in 8 days ?

• 1] 4
• 2] 8
• 3] 12
• 4] 16

A boy and a girl together fill a cistern with water. The boy pours 4 liters of water every 3 minutes and girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

• 1] 36 minute
• 2] 42 minutes
• 3] 48 minutes
• 4] 44 minutes

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 contractor undertake to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the work in men, how many days behind the scheduled the work should have been finished ?

• 1] 5
• 2] 6
• 3] 7
• 4] 8

Two typists of varying skills can do a job in 6 minutes if they work together. If the first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with \(\frac{1}{5}\) of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?

• 1] 10 minutes
• 2] 15 minutes
• 3] 12 minutes
• 4] 20 minutes
• 5] 17 minutes