Quiz Discussion

Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in:

• 1] 7.5 hr
• 2] 8 hr
• 3] 8.5 hr
• 4] 10 hr

If A, B and C can complete a piece of work in 6 days. If A can work twice faster than B and thrice faster then C, than the number of days C alone can complete the work is ?

• 1] 44 days
• 2] 33 days
• 3] 22 days
• 4] 11 days

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

• 1] 12 days
• 2] 15 days
• 3] 16 days
• 4] 18 days

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

If 3 men or 9 boys can finish a piece of work in 21 days, in how many days can 5 men and 6 boys together do the same piece of work ?

• 1] 8 days
• 2] 12 days
• 3] 14 days
• 4] Cannot be determined
• 5] None of these

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]

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

If two persons, with equal abilities, can do two jobs in two days then 100 persons with equal abilities can do 100 similar jobs in = ?

• 1] 100 days
• 2] 10 days
• 3] 5 days
• 4] 2 days

At a Tech Pvt Ltd. there are some engineering students employed as trainee engineers, belong to two eminent institutions of India. One group belongs to IIT and another to NIT. Each student of IIT works for 10 hours a day till 60 days and each student of NIT works for 8 hours a day till 80 days on the two same project. The ratio of students of IIT and that of NIT is 4:5 respectively. Students of which institution is slower in work and by how much?

• 1] IITian is 20% less efficient
• 2] NITian is 33.33% less efficien
• 3] NIT is 25% less efficient
• 4] IIT is 33.33% less efficient
• 5] Cannot be determined

X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?

• 1]

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

• 2]

  14 days

• 3]

  15 days

• 4]

  \(16\frac{2}{3}{ \text{days}}\)

A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work ?

• 1] 8 days
• 2] 9 days
• 3] 10 days
• 4] 11 days