Time and Work Quiz Set 011 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 11 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

**Your Score**
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

A can harvest a field in 15 days. B can do the same work in 8 days. C can do the same work in 17 days. How much did A get if the farmer pays them a total amount of Rs. 12000 for a work that they together completed in 5 days?

Rs. 4000.

Rs. 4100.

Rs. 3900.

Rs. 4300.

Soln.
Ans: a

Work done by A in 1 day = $1/15$. So the work in 5 days = 5 × $1/15$. His share is Rs. 5 × $1/15$ × 12000 = Rs. 4000.

Solution | Discuss! | Chapters»

Question 2

A can do a work in 2 days. B can destroy the work in 7 days. In how many days will they together complete the work?

$2{4/5}$ days.

$3{4/5}$ days.

$4{4/5}$ days.

$5{4/5}$ days.

Soln.
Ans: a

Putting x = 2 and y = 7 in the shortcut method, we get ${xy}/{y - x}$ = ${14/5}$, which is same as: $2{4/5}$.

Solution | Discuss! | Chapters»

Question 3

A new tub can be filled by a tap in 14 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 19 minutes. In how many minutes will the tap be able to fill the tub?

$53{1/5}$ mins.

$54{1/5}$ mins.

$55{1/5}$ mins.

$56{1/5}$ mins.

Soln.
Ans: a

Putting x = 14 and y = 19 in the shortcut method, we get ${xy}/{y - x}$ = ${266/5}$, which is same as: $53{1/5}$.

Solution | Discuss! | Chapters»

Question 4

A, B and C complete a work in 10, 13 and 19 days respectively. All three of them start the work together, but A leaves the work after 3 days, and B leaves the work after 5 days. In how many days will the work be completed?

$5{129/130}$ days.

$6{129/130}$ days.

$7{129/130}$ days.

$8{129/130}$ 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, and B after m days, the work is completed in z × $(1 - n/x - m/y)$ days. Putting the various values x = 10, y = 13, z = 19, n = 3, m = 5, and simplifying, we get ${779/130}$, which is same as: $5{129/130}$.

Solution | Discuss! | Chapters»

Question 5

A, B and C can independently complete a work in 17, 18 and 4 days respectively. B and C start the work together, but A joins them after 2 days. In how many days will the work be completed?

$3{15/223}$ days.

$4{15/223}$ days.

$5{15/223}$ days.

$6{15/223}$ 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 = 4, n = 2, and simplifying, we get ${684/223}$, which is same as: $3{15/223}$.

Solution | Discuss! | Chapters»