Time and Work Quiz Set 018 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 18 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

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

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 4 days.

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Question 2

A, B and C complete a work in 14, 8 and 6 days respectively. All three of them start the work together, but A leaves the work after 6 days, and B leaves the work after 3 days. In how many days will the work be completed?

$1{5/28}$ days.

$2{5/28}$ days.

$3{5/28}$ days.

$4{5/28}$ 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 = 14, y = 8, z = 6, n = 6, m = 3, and simplifying, we get ${33/28}$, which is same as: $1{5/28}$.

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Question 3

A can harvest a field in 12 days. B can do the same work in 18 days. C can do the same work in 5 days. In how many days will they together harvest the field?

$2{58/61}$ days.

$3{58/61}$ days.

$4{58/61}$ days.

$5{58/61}$ days.

Soln.
Ans: a

Putting x = 12, y = 18 and z = 5 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${180/61}$, which is same as: $2{58/61}$.

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Question 4

If 57 men can do a task in 72 days if they work 3 hours per day, how many men are required to complete the task in 19 days if they work 9 hours?

72.

73.

71.

75.

Soln.
Ans: a

If m₁ men can do a task in d₁ days by working h₁ hours per day, and m₂ in d₂ days by working h₂ hours per day, then we must have m₁ × d₁ × h₁ = m₂ × d₂ × h₂. Putting m₁ = 57, d₁ = 72, h₁ = 3, d₂ = 19, and h₂ = 9 we get m₂ = 72.

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Question 5

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?

20 days.

21 days.

19 days.

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.

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