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Quantitative Aptitude
Time and Work

Quantitative aptitude questions for competitive exams

33 Q 7 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 31–33 of 33
Topics in Quantitative Aptitude
Q.31 Easy Time and Work
If 5 workers can build a wall in 8 days, how many days will 10 workers take to build the same wall?
A 2 days
B 3 days
C 4 days
D 5 days
Correct Answer:  C. 4 days
EXPLANATION

This question tests the concept of inverse proportionality between the number of workers and the time required to complete a fixed task.

Step 1: Calculate total work in worker-days

Work is constant regardless of the number of workers, so we multiply workers by days.

\[\text{Total Work} = 5 \text{ workers} \times 8 \text{ days} = 40 \text{ worker-days}\]
Step 2: Set up the equation with new number of workers

With 10 workers, the same 40 worker-days of work must be completed.

\[10 \text{ workers} \times d \text{ days} = 40 \text{ worker-days}\]
Step 3: Solve for the number of days

Divide total work by the number of workers to find days required.

\[d = \frac{40}{10} = 4 \text{ days}\]

When 10 workers work together, they will build the same wall in 4 days.

Test
Q.32 Easy Time and Work
B can do a job in 15 days. What is B's work rate per day?
A 1/10
B 1/15
C 1/20
D 1/25
Correct Answer:  B. 1/15
EXPLANATION

This question asks us to find B's daily work rate when the total job can be completed in 15 days.

Step 1: Understand work rate definition

Work rate is the fraction of total work completed per day.

\[\text{Work Rate} = \frac{\text{Total Work}}{\text{Total Days}}\]
Step 2: Define total work as 1 complete job

Since B completes the entire job, the total work equals 1.

\[\text{Total Work} = 1\]
Step 3: Calculate B's daily work rate

B completes the job in 15 days, so divide the work by the number of days.

\[\text{B's Work Rate} = \frac{1}{15} \text{ per day}\]

B's work rate is 1/15 of the job per day, which means B completes one-fifteenth of the job each day for 15 days to finish it completely.

Test
Q.33 Easy Time and Work
A can complete a work in 20 days. How much work will A complete in 5 days?
A 1/5
B 1/4
C 1/3
D 1/2
Correct Answer:  B. 1/4
EXPLANATION

This question tests the concept of work rate and how much work is completed in a given time period.

Step 1: Find A's work rate per day

A completes the entire work in 20 days, so the work rate is 1 part per day.

\[\text{Work rate} = \frac{1}{20} \text{ work per day}\]
Step 2: Calculate work completed in 5 days

Multiply the daily work rate by the number of days.

\[\text{Work completed} = \frac{1}{20} \times 5 = \frac{5}{20}\]
Step 3: Simplify the fraction

Reduce the fraction to its simplest form by dividing both numerator and denominator by 5.

\[\frac{5}{20} = \frac{1}{4}\]

A will complete 1/4 of the work in 5 days.

Test
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