Find the largest number that divides both 144 and 108 exactly.

The correct answer is A: 36. 144 = 2⁴ × 3², 108 = 2² × 3³. HCF = 2² × 3² = 4 × 9 = 36.

If x% of 400 equals 20% of y, and y = 500, find x.

The correct answer is B: 25. x% of 400 = 20% of 500. (x/100) × 400 = 0.2 × 500. 4x = 100. x = 25.

A shopkeeper buys goods at ₹80 and marks it up by 25%. After giving 10% discount, what is his profit percentage?

The correct answer is B: 12.5%. MP = 80×1.25 = ₹100. SP = 100×0.9 = ₹90. Profit = 10/80 × 100 = 12.5%.

If a number is multiplied by 8 and then divided by 2, the result is 64. What is the number?

The correct answer is B: 16. Let the number be x. According to problem: (8x)/2 = 64. Simplifying: 4x = 64. Therefore x = 16

A pipe fills 1/4 tank in 3 hours. Full tank in how many hours?

The correct answer is C: 12 hours. If 1/4 tank = 3 hours, full tank = 3 × 4 = 12 hours.

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Quantitative Aptitude
Time and Work

Quantitative aptitude questions for competitive exams

32 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 31–32 of 32

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.31 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.32 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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Quantitative Aptitude Time and Work

Quantitative Aptitude
Time and Work