Time and Work Quiz Set 005

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

A can finish a work in 15 days. B can do the same work in 11 days. They work together for 4 days. The fraction of work that is left is?

 A

${61/165}$.

 B

$1{61/165}$.

 C

${61/164}$.

 D

${31/83}$.

Soln.
Ans: a

They together finish $1/15 + 1/11$ work in a day. In 4 days they finish 4 × $(1/15 + 1/11)$ work, which is $104/165$. So the un-finished work is 1 - $104/165$ = ${61/165}$.


Question 2

A, B and C can independently complete a work in 17, 18 and 19 days respectively. B and C start the work together, but A joins them after 3 days. In how many days will the work be completed?

 A

$7{43/971}$ days.

 B

$8{43/971}$ days.

 C

$9{43/971}$ days.

 D

$10{43/971}$ 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 joins after n days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x)$ days. Putting the various values x = 17, y = 18, z = 19, n = 3, and simplifying, we get ${6840/971}$, which is same as: $7{43/971}$.


Question 3

A can do a piece of work in 46 days. B is 15% more efficient than A. In how many days can B complete that work?

 A

20 days.

 B

21 days.

 C

19 days.

 D

22 days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/46$. If B is 15% efficient, then one day work of B is $1/46$ × $115/100$ = $1/20$. Which gives 20 days as the answer.


Question 4

A can do a piece of work in 46 days. B is 15% more efficient than A. In how many days will they complete the work if they work together?

 A

$13{31/33}$ days.

 B

$13{32/33}$ days.

 C

14 days.

 D

$14{1/33}$ days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/46$. If B is 15% efficient, then one day work of B is $1/46$ × $115/100$ = $1/20$. Putting x = 46 and y = 20 in the shortcut method, we get ${xy}/{x + y}$ = ${460/33}$, which is same as: $13{31/33}$.


Question 5

A can harvest a field in 11 days. B can do the same work in 14 days. In how many days will they together harvest the field?

 A

$6{4/25}$ days.

 B

$7{4/25}$ days.

 C

$8{4/25}$ days.

 D

$9{4/25}$ days.

Soln.
Ans: a

Putting x = 11 and y = 14 in the shortcut method, we get ${xy}/{x + y}$ = ${154/25}$, which is same as: $6{4/25}$.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Time and Work Quiz Set 005" 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


Advertisement