Quantitative Aptitude

Time, Work, and Projects

198 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 technology testing

A testing project allocates 5 testers to execute test cases. The task is estimated to be carried out for a period of 4 months. What is the test effort during the first month?

  1. 5

  2. 20

  3. 440

  4. 110
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Test effort is measured in person-months, which represents the work done by testers in a month. With 5 testers working for 1 month, the test effort for the first month is 5 person-months. This is simply the number of testers allocated since effort is calculated per month of work.

Multiple choice technology testing

A tester is designing 3 complex test cases, 5 medium complex test cases and 10 simple test cases each day. The PL has arrived at an estimation where the test cases are normalized to a common value. Each complex test case is normalized to 20 test cases, each medium test case to 10 test cases and each simple test case to 1 test case. What is the productivity test design for the month assuming 4 testers are working in the project and all the testers produce the same no of test cases each day? Assume that the month contains 20 working days.

  1. 24.00%

  2. 30%

  3. 32%

  4. 8%
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice technology

Lead time required for Scheduling a new job through CMR

  1. 1 Day

  2. 1 week

  3. 8 Days

  4. 3 Days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CMR scheduling requires advance notice to ensure resource allocation and job preparation. 8 days allows sufficient time for processing, validation, and queue placement. Shorter timeframes (1-3 days) are typically insufficient for proper scheduling procedures.

Multiple choice

5 skilled workers can build a wall in 20days: 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

  1. 20

  2. 18

  3. 16

  4. 15
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For skilled: men -> days -> amount of wall

5 -> 20  -> 1
1 -> 100 -> 1
1 -> 1   -> 1/100
For semi-skilled: men -> days -> amount of wall

8 -> 25  -> 1

1 -> 200 -> 1
1 -> 1   -> 1/200
For unskilled: men -> days -> amount of wall

10 -> 30  -> 1

1  -> 300 -> 1
1  -> 1   -> 1/300
Amount of work 2 skilled in 1 day = 2/100 Amount of work 6 semi-skilled in 1 day = 6/200 Amount of work 5 unskilled in 1 day = 5/300

Total work in 1 day 

= 2/100+6/200+5/300
= 12/600+18/600+10/600
= 1/15

So complete work will take 15 days

Multiple choice

A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?

  1. 4

  2. 5

  3. 6

  4. 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let each truck carry 100 units. 2800 = 4n + e n = normal 3000 = 10n + e e = excess/pending             $\therefore$$ n =\dfrac{100}{3}, e =\dfrac{8000}{3} $             5days $\Rightarrow$$500x = \dfrac{5.100}{3} + \dfrac{8000}{3}$             $\Rightarrow$$500x = \dfrac{8500}{3}17 \Rightarrow x > 5$ Minimum possible = 6

Multiple choice

We are given 9 tasks T1,T2,........T9. The execution of each task requires one unit of time. We can execute one task at a time. Ti has a profit Pi and a deadline di profit Pi is earned if the task is completed before the end of the d1th unit of time.

Are all tasks completed in the schedule that gives maximum profit?

  1. All tasks are completed

  2. T1 and T6 are left out

  3. T1 and T8 are left out

  4. T4 and T6 are left out
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Multiple choice

X completes 40% of his work in 12 days. Then takes the help of Y and Z. Y is 50% efficient as X, Z is 50% efficient as Y. In how many more days will they complete the work?

  1. 18 days

  2. 72/7 days

  3. 6 days

  4. 144 days

  5. 72/3 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When X is doing 40 % of work, it takes 12 days.
When X is doing 60% of work, it takes 18 days. When X + Y + Z or X + 1/2X + 1/4X is doing 60% of work it takes 18/(1 + 1/2 + 1/4) = 72/7 days.