Quantitative Aptitude

Time, Work, and Projects

190 Questions

Time and work questions test the ability to calculate the time required to complete tasks involving individual or combined worker efficiency. These problems frequently appear in competitive exams to assess logical calculation skills. Topics include pipes, cisterns, group efficiency, and hourly work rates.

Combined work efficiencyMen and days calculationsWorker efficiency ratiosWorking hours per dayLeaving and joining workers

Time, Work, and Projects Questions

Multiple choice general knowledge math & puzzles

A painting job can be completed by 3 painters in 29 days. If 6 more painters join the team 2 days after starting work on the job, then how many more days are required to complete the job?

  1. 7

  2. 8

  3. 9

  4. 10
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = 3 painters × 29 days = 87 painter-days. After 2 days, 6 painter-days are done, leaving 81 painter-days. With 9 painters (3 original + 6 new), remaining work takes 81/9 = 9 days. The question asks for additional days after day 2, so the answer is 9.

Multiple choice general knowledge math & puzzles

Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how long will they take to complete the work?

  1. 8

  2. 16

  3. 6

  4. 12
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ram takes 24 days alone, so Ram's rate = 1/24 work/day. Krish is twice as efficient, so Krish's rate = 1/12 work/day. Together: 1/24 + 1/12 = 1/24 + 2/24 = 3/24 = 1/8 work/day. Time = 1/(1/8) = 8 days. Option B (16) is Ram's time alone - a common error of not combining rates.

Multiple choice general knowledge math & puzzles

15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?

  1. 15

  2. 20

  3. 25

  4. 30
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

15 men × 21 days × 8 hours = 2520 man-hours total work. Since 3 women = 2 men, 1 woman = 2/3 man. 21 women = 21 × (2/3) = 14 men. Days needed = 2520 ÷ (14 × 6) = 2520 ÷ 84 = 30 days. Therefore 21 women working 6 hours daily would need 30 days to complete the same work.

Multiple choice general knowledge math & puzzles

A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?

  1. 18.5 days

  2. 20.5 days

  3. 22.5 days

  4. 18 ways
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B take x days, then A takes x/3 days. The difference is x - x/3 = 60, so 2x/3 = 60, meaning x = 90. B takes 90 days and A takes 30 days. Working together, their rate is (1/90 + 1/30) = 4/90. Days taken = 90/4 = 22.5 days.

Multiple choice general knowledge

How to improve productivity ?

  1. Work in shifts

  2. Work for extended hours

  3. Work during office hours only (8 hours / day)

  4. Work as you wish
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Working standard office hours (typically 8 hours/day) is generally recommended for sustained productivity, as overwork can lead to burnout and decreased efficiency. Regular hours help maintain work-life balance while ensuring adequate rest.

Multiple choice general knowledge math & puzzles

If w workers, working at equal rates, can produce x toys in n days, how many days it takes c workers, working at same equal rates, to produce y toys?

  1. y*w*c/(w*n)

  2. y*w/(w*n*c)

  3. y*w*n / x

  4. y*w*n / (x*c)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To solve this question, the user needs to know the concept of the work rate formula, which is given by:

work = rate x time

where work refers to the amount of work done, rate refers to the rate at which work is done, and time refers to the amount of time taken to complete the work.

Using this formula, we can derive the formula for this question as follows:

work = rate x time

x = w*r*n (1) # The amount of work done by w workers in n days to produce x toys y = c*r*t (2) # The amount of work done by c workers in t days to produce y toys

Since the workers are working at the same rate, we can equate the rates in equations (1) and (2):

w*r = c*r

r = w*c/r

Substituting r in equation (1), we have:

x = w * (w*c/r) * n

x = w^2 * c * n / r

Substituting r in equation (2), we have:

y = c * (w*c/r) * t

y = w*c^2 * t / r

Equating the value of r in both equations, we get:

w*c/r = w*c/r

Thus, we can equate the two expressions for r and solve for t:

w*c/r = w*c/r

w*c/(w*c) = n/t

t = n*w*c/(w*c) = n

Therefore, the formula for the number of days it takes c workers to produce y toys is:

y = w^2 * c * n / x

Simplifying this expression, we get:

y*w*n / x*c

Therefore, the answer is:

The Answer is: D

Multiple choice general knowledge math & puzzles

There are 50 shirts made up of same kind of material. All are at laundry. If 1 shirt takes 30 min for drying and all shirts are put in same condition how much time will all the shirts willl take.

  1. 1500 min

  2. 25 min

  3. 30 min

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If all 50 shirts are placed in the same environmental conditions simultaneously, they will dry in parallel. Since one shirt takes 30 minutes, 50 shirts drying at the same time will also take 30 minutes total, not 1500 minutes.

Multiple choice general knowledge

Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job?

  1. 8 hrs

  2. 7 1/2 hrs

  3. 7 hrs

  4. 9 hrs
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total work = 30 men × 20 days × 9 hours = 5400 man-hours. With 40 men: 5400/40 = 135 days total. Hours per day = 5400/(40×20) = 7.5 hours. The inverse proportion between men and hours (when days are constant) gives: (30×9)/40 = 7.5 hours per day.

Multiple choice general knowledge history

How many days has take to finish attack

  1. 4

  2. 3

  3. 2

  4. 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The 2008 Mumbai terror attacks lasted for 4 days, beginning on November 26th and ending on November 29th when security forces finally neutralized all terrorists at the Taj Mahal Palace Hotel. This makes '4 days' the correct answer.