Time and Work Quiz Set 019 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 19 | 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

6 men and 4 women finish a job in 32 days. In how many days will 8 women and 12 men finish that job?

16.

15.

17.

18.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 16 days.

Solution | Discuss! | Chapters»

Question 2

A can do a piece of work in 14 days. B is 40% more efficient than A. In how many days will they complete the work if they work together?

$5{5/6}$ days.

6 days.

$6{1/6}$ days.

$6{1/3}$ days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/14$. If B is 40% efficient, then one day work of B is $1/14$ × $140/100$ = $1/10$. Putting x = 14 and y = 10 in the shortcut method, we get ${xy}/{x + y}$ = ${35/6}$, which is same as: $5{5/6}$.

Solution | Discuss! | Chapters»

Question 3

A and B can together complete a job in 21 days. A can alone complete it in 28 days. How long would B alone take to finish the job?

84 days.

85 days.

83 days.

87 days.

Soln.
Ans: a

One day work of A + B is $1/21$. One day work of A is $1/28$. So one day work of B, say, $1/y$ = $1/21$ - $1/28$. Solving, we get y = 84 days.

Solution | Discuss! | Chapters»

Question 4

A, B and C can independently complete a work in 18, 16 and 6 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?

$3{37/41}$ days.

$4{37/41}$ days.

$5{37/41}$ days.

$6{37/41}$ 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 = 18, y = 16, z = 6, n = 2, and simplifying, we get ${160/41}$, which is same as: $3{37/41}$.

Solution | Discuss! | Chapters»