Govt Exam — Quantitative Aptitude — Time and Work
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Showing 1–10 of 32 questions in Time and Work
Q.1 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.

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Q.2 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.

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Q.3 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.

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Q.4 Easy Time and Work
A can complete 60% of work in 9 days. How many days will A take to complete the entire work?
A 12 days
B 15 days
C 18 days
D 20 days
Correct Answer:  B. 15 days
Explanation:

60% work is done in 9 days.

Rate = 0.6/9 = 1/15 per day.

Total days = 1/(1/15) = 15 days

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Q.5 Easy Time and Work
A train 240m long crosses a platform 360m long in 30 seconds. What is the speed of the train in km/h?
A 70.2 km/h
B 72 km/h
C 75.6 km/h
D 80 km/h
Correct Answer:  B. 72 km/h
Explanation:

Total distance = 240 + 360 = 600m. Time = 30 seconds. Speed = 600/30 = 20 m/s = 20 × 3.6 = 72 km/h

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Q.6 Easy Time and Work
If the cost price of an article is ₹800 and it is sold at 25% profit, what is the selling price?
A ₹900
B ₹950
C ₹1000
D ₹1100
Correct Answer:  C. ₹1000
Explanation:

Profit = 25% of 800 = 200. Selling Price = 800 + 200 = ₹1000

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Q.7 Easy Time and Work
A boat's speed in still water is 15 km/h and the speed of current is 3 km/h. If the boat travels 36 km upstream and returns, what is the total time taken?
A 4 hours
B 5 hours
C 5.5 hours
D 6 hours
Correct Answer:  B. 5 hours
Explanation:

Upstream speed = 15-3 = 12 km/h. Downstream speed = 15+3 = 18 km/h. Time upstream = 36/12 = 3 hours. Time downstream = 36/18 = 2 hours. Total = 5 hours

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Q.8 Easy Time and Work
Simple Interest on ₹5000 at 8% per annum for 2.5 years is:
A ₹900
B ₹1000
C ₹1200
D ₹1500
Correct Answer:  B. ₹1000
Explanation:

SI = (P × R × T)/100 = (5000 × 8 × 2.5)/100 = 100000/100 = ₹1000

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Q.9 Easy Time and Work
Compound Interest on ₹10000 at 10% per annum for 2 years, compounded annually:
A ₹2100
B ₹2000
C ₹1900
D ₹1800
Correct Answer:  A. ₹2100
Explanation:

A = P(1 + r/100)^n = 10000(1.1)^2 = 10000 × 1.21 = 12100. CI = 12100 - 10000 = ₹2100

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Q.10 Easy Time and Work
A pipe fills a tank in 20 minutes. A drain empties it in 30 minutes. If both are opened, in how much time will the tank be filled?
A 50 minutes
B 60 minutes
C 70 minutes
D 80 minutes
Correct Answer:  B. 60 minutes
Explanation:

Fill rate = 1/20, Drain rate = 1/30. Net rate = 1/20 - 1/30 = 3/60 - 2/60 = 1/60. Time = 60 minutes

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