Time and Work Quiz Set 005 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 5 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

If 26 men can do a task in 40 days if they work 9 hours per day, how many men are required to complete the task in 13 days if they work 10 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 = 26, d₁ = 40, h₁ = 9, d₂ = 13, and h₂ = 10 we get m₂ = 72.

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Question 2

A can harvest a field in 14 days. B can do the same work in 16 days. C can do the same work in 7 days. In how many days will they together harvest the field?

$3{19/31}$ days.

$4{19/31}$ days.

$5{19/31}$ days.

$6{19/31}$ days.

Soln.
Ans: a

Putting x = 14, y = 16 and z = 7 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${112/31}$, which is same as: $3{19/31}$.

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Question 3

A can harvest a field in 16 days. B can do the same work in 14 days. C can do the same work in 5 days. In how many days will they together harvest the field?

$2{186/187}$ days.

$3{186/187}$ days.

$4{186/187}$ days.

$5{186/187}$ days.

Soln.
Ans: a

Putting x = 16, y = 14 and z = 5 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${560/187}$, which is same as: $2{186/187}$.

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Question 4

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?

$7{43/971}$ days.

$8{43/971}$ days.

$9{43/971}$ days.

$10{43/971}$ 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: $7{43/971}$.

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Question 5

A and B can complete a job in 24 and 72 days. They start together but A leaves after working for 10 days. How long would B take to finish the job counting from the day both A and B started together?

42 days.

43 days.

41 days.

45 days.

Soln.
Ans: a

If B takes x days. The total job is A's work in 4 days + B's work in x days = $10/24$ + $x/72$ = 1. Solving, we get x = 42 days.

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