Quantitative Aptitude — MCQ Practice Questions & Answers

Question 1

A can complete a work in 20 days. How much work will A complete in 5 days?

Accepted Answer

Correct answer: B. 1/4 — 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. 	ext{Work rate} = \frac{1}{20} 	ext{ work per day} Step 2: Calculate work completed in 5 days Multiply the daily work rate by the number of days. 	ext{Work completed} = \frac{1}{20} 	imes 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.

Answer

A. 1/5

Answer

C. 1/3

Answer

D. 1/2

Question 2

B can do a job in 15 days. What is B's work rate per day?

Accepted Answer

Correct answer: B. 1/15 — 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. 	ext{Work Rate} = \frac{	ext{Total Work}}{	ext{Total Days}} Step 2: Define total work as 1 complete job Since B completes the entire job, the total work equals 1. 	ext{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. 	ext{B's Work Rate} = \frac{1}{15} 	ext{ 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.

Answer

A. 1/10

Answer

C. 1/20

Answer

D. 1/25

Question 3

A can complete a work in 12 days and B can complete it in 18 days. How many days will they take working together?

Accepted Answer

Correct answer: A. 7.2 days — A's rate = 1/12, B's rate = 1/18. Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36. Time = 36/5 = 7.2 days

Answer

B. 7.5 days

Answer

C. 8 days

Answer

D. 8.5 days

Question 4

If 5 workers can build a wall in 8 days, how many days will 10 workers take to build the same wall?

Accepted Answer

Correct answer: C. 4 days — 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. 	ext{Total Work} = 5 	ext{ workers} 	imes 8 	ext{ days} = 40 	ext{ 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 	ext{ workers} 	imes d 	ext{ days} = 40 	ext{ 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 	ext{ days} When 10 workers work together, they will build the same wall in 4 days.

Answer

A. 2 days

Answer

B. 3 days

Answer

D. 5 days

Question 5

A can do a work in 10 days, B can do it in 15 days, and C can do it in 30 days. How long will they take working together?

Accepted Answer

Correct answer: A. 5 days — Combined rate = 1/10 + 1/15 + 1/30 = 3/30 + 2/30 + 1/30 = 6/30 = 1/5. Time = 5 days

Answer

B. 6 days

Answer

C. 7 days

Answer

D. 8 days

Question 6

A completes 1/3 of work in 5 days. How many more days will A need to complete the remaining work?

Accepted Answer

Correct answer: B. 10 days — A completes 1/3 work in 5 days, so rate = 1/15 per day. Remaining work = 2/3. Days needed = (2/3)/(1/15) = (2/3) × 15 = 10 days

Answer

A. 5 days

Answer

C. 15 days

Answer

D. 20 days

Question 7

A and B together can complete a work in 8 days. A alone can complete it in 12 days. How many days will B take alone?

Accepted Answer

Correct answer: C. 24 days — Combined rate = 1/8, A's rate = 1/12. B's rate = 1/8 - 1/12 = 3/24 - 2/24 = 1/24. B takes 24 days

Answer

A. 20 days

Answer

B. 22 days

Answer

D. 26 days

Question 8

If A works for 3 days and B works for 2 days, they complete 1/4 of work. If A works for 2 days and B works for 3 days, they complete 1/3 of work. How many days does A take to complete the work alone?

Accepted Answer

Correct answer: A. 30 days — Let A's rate = 1/x, B's rate = 1/y. From equations: 3/x + 2/y = 1/4 and 2/x + 3/y = 1/3. Solving: x = 30 days

Answer

B. 25 days

Answer

C. 20 days

Answer

D. 15 days

Quantitative Aptitude - MCQ Practice Questions