Time and Work Quiz Set 003

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Question 1

A can finish a work in 6 days. B can do the same work in 15 days. They work together for 4 days. The fraction of work that is left is?

 A

${1/15}$.

 B

$1{1/15}$.

 C

${1/14}$.

 D

${1/8}$.

Soln.
Ans: a

They together finish $1/6 + 1/15$ work in a day. In 4 days they finish 4 × $(1/6 + 1/15)$ work, which is $84/90$. So the un-finished work is 1 - $84/90$ = ${1/15}$.


Question 2

A, B and C complete a work in 9, 3 and 19 days respectively. All three of them start the work together, but A leaves the work after 1 days. In how many days will the work be completed?

 A

$2{10/33}$ days.

 B

$3{10/33}$ days.

 C

$4{10/33}$ days.

 D

$5{10/33}$ days.

Soln.
Ans: a

Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A leaves after n days, the work is completed in ${yz}/{y + z}$ × $(1 - n/x)$ days. Putting the various values x = 9, y = 3, z = 19, n = 1, and simplifying, we get ${76/33}$, which is same as: $2{10/33}$.


Question 3

Mr. X can finish a task in 7 days. Mr. Y can do the same work in 4 days. What is the ratio of the efficiencies of X : Y?

 A

${4/7}$.

 B

$1{4/7}$.

 C

${2/3}$.

 D

${5/8}$.

Soln.
Ans: a

The efficiency of X is $100/7$%, and the efficiency of Y is $100/4$%, so the ratio will be $4/7$


Question 4

A can do a piece of work in 11 days. B is 10% more efficient than A. In how many days can B complete that work?

 A

10 days.

 B

11 days.

 C

9 days.

 D

12 days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/11$. If B is 10% efficient, then one day work of B is $1/11$ × $110/100$ = $1/10$. Which gives 10 days as the answer.


Question 5

A can do a piece of work in 11 days. B is 10% more efficient than A. In how many days will they complete the work if they work together?

 A

$5{5/21}$ days.

 B

$5{2/7}$ days.

 C

$5{1/3}$ days.

 D

$5{8/21}$ days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/11$. If B is 10% efficient, then one day work of B is $1/11$ × $110/100$ = $1/10$. Putting x = 11 and y = 10 in the shortcut method, we get ${xy}/{x + y}$ = ${110/21}$, which is same as: $5{5/21}$.


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This Blog Post/Article "Time and Work Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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