Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

Arrange the following cases in ascending order in terms of number of days to complete the same work.

(A) P can do (1/3)rd of the work in 5 days.
(B) Q can do (1/6)th of the work in 4 days.
(C) R can do 25% of the work in 4 days.
(D) S can do 35% of the work in 7 days.

Choose the correct answer from the options given below:

Options:

(A), (C), (D), (B)

(A), (C), (B), (D)

(A), (B), (C), (D)

(B), (A), (D), (C)

Correct Answer:

(A), (C), (D), (B)

Explanation:

The correct answer is Option (1) → (A), (C), (D), (B)

Step 1: Find rate of work for each person

(A) P can do 1/3 of the work in 5 days

  • Work done per day = $(1/3)/5 = 1/15$ of work/day
  • Total days to complete 1 work = 15 days

(B) Q can do 1/6 of the work in 4 days

  • Work per day = $(1/6)/4 = 1/24$ of work/day
  • Total days = 24 days

(C) R can do 25% = 1/4 of work in 4 days

  • Work per day = $(1/4)/4 = 1/16$ of work/day
  • Total days = 16 days

(D) S can do 35% = 35/100 = 7/20 of work in 7 days

  • Work per day = $(7/20)/7 = 1/20$ of work/day
  • Total days = 20 days

Step 2: Arrange in ascending order of total days

  • P = 15 days
  • R = 16 days
  • S = 20 days
  • Q = 24 days

Ascending order: A, C, D, B