Time and Work Quiz Set 002

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

Mr. X can finish a task in 15 days. Mr. Y can do the same work in 17 days. What is the ratio of the efficiencies of X : Y?

 A

$1{2/15}$.

 B

$2{2/15}$.

 C

$1{3/14}$.

 D

$1{1/8}$.

Soln.
Ans: a

The efficiency of X is $100/15$%, and the efficiency of Y is $100/17$%, so the ratio will be $17/15$


Question 2

A, B and C complete a work in 16, 10 and 18 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

$6{3/112}$ days.

 B

$7{3/112}$ days.

 C

$8{3/112}$ days.

 D

$9{3/112}$ 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 = 16, y = 10, z = 18, n = 1, and simplifying, we get ${675/112}$, which is same as: $6{3/112}$.


Question 3

A new tub can be filled by a tap in 2 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 13 minutes. In how many minutes will the tap be able to fill the tub?

 A

$2{4/11}$ mins.

 B

$3{4/11}$ mins.

 C

$4{4/11}$ mins.

 D

$5{4/11}$ mins.

Soln.
Ans: a

Putting x = 2 and y = 13 in the shortcut method, we get ${xy}/{y - x}$ = ${26/11}$, which is same as: $2{4/11}$.


Question 4

A can harvest a field in 10 days. B can do the same work in 16 days. C can do the same work in 14 days. How much did A get if the farmer pays them a total amount of Rs. 6000 for a work that they together completed in 2 days?

 A

Rs. 1200.

 B

Rs. 1300.

 C

Rs. 1100.

 D

Rs. 1500.

Soln.
Ans: a

Work done by A in 1 day = $1/10$. So the work in 2 days = 2 × $1/10$. His share is Rs. 2 × $1/10$ × 6000 = Rs. 1200.


Question 5

A can harvest a field in 6 days. B can do the same work in 12 days. How much did A get if the farmer pays them a total amount of Rs. 3000 for a work that they together completed in 3 days?

 A

Rs. 1500.

 B

Rs. 1600.

 C

Rs. 1400.

 D

Rs. 1800.

Soln.
Ans: a

Work done by A in 1 day = $1/6$. So the work in 3 days = 3 × $1/6$. His share is Rs. 3 × $1/6$ × 3000 = Rs. 1500.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement