Multiple choice

Given: Anuj takes 1 day to complete a job. Bharat takes twice the time as Anuj to complete the same job. Chetan takes twice the time as Bharat to complete that job. Dhiraj takes twice the time as Chetan to complete that job. (A) Chetan and Dhiraj will take 8/3 days to complete the work. (B) The second fastest pair to complete the work is Anuj and Dhiraj. (C) The second slowest pair to complete the work is Bharat and Dhiraj. (D) Bharat and Dhiraj will take 4/3 days to complete the work. Choose the correct answer from the options given below:

  1. (A), (B) and (C) only

  2. (A) and (D) only

  3. (A) and (C) only

  4. (A) only
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Anuj takes 1 day, Bharat takes 2 days, Chetan takes 4 days, and Dhiraj takes 8 days to complete the job alone. Chetan and Dhiraj together work at a rate of 1/4 plus 1/8 per day, which is 3/8, meaning they take 8/3 days, making statement A correct. To evaluate the pairs, their combined times are 2/3 days for Anuj and Bharat, 4/5 days for Anuj and Chetan, 8/9 days for Anuj and Dhiraj, 4/3 days for Bharat and Chetan, 8/5 days for Bharat and Dhiraj, and 8/3 days for Chetan and Dhiraj. The second slowest pair is Bharat and Dhiraj, making statement C correct and statement B incorrect. Statement D is also incorrect since Bharat and Dhiraj take 8/5 days. Therefore, only statements A and C are correct.

Keep practicing — related questions