MBApyq

Work and Time - Team Productivity

CAT 2025 Slot 3 · Quantitative Ability · Medium · Arithmetic

This is a medium Quantitative Ability question from the CAT 2025 Slot 3 paper. It tests Arithmetic. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

All CAT 2025 Slot 3 questionsMore Arithmetic questionsAll CAT QA

Teams A, B, and C consist of five, eight, and ten members, respectively, such that every member within a team is equally productive. Working separately, teams A, B, and C can complete a certain job in 40 hours, 50 hours, and 4 hours, respectively. Two members from team A, three members from team B, and one member from team C together start the job, and the member from team C leaves after 23 hours. The number of additional member(s) from team B, that would be required to replace the member from team C, to finish the job in the next one hour, is

  1. A.

    4

  2. B.

    2

  3. C.

    1

  4. D.

    3

Answer

B

Explanation

Let total work W=400W = 400 units. Rate of team A (5 members) = 1010 units/hr   ⟹  \implies 1 member of A = 22 units/hr. Rate of team B (8 members) = 88 units/hr   ⟹  \implies 1 member of B = 11 unit/hr. Rate of team C (10 members) = 100100 units/hr   ⟹  \implies 1 member of C = 1010 units/hr. Initial group rate (2 from A, 3 from B, 1 from C) = 2(2)+3(1)+1(10)=172(2) + 3(1) + 1(10) = 17 units/hr. In 23 hours, work done = 23×17=39123 \times 17 = 391 units. Remaining work = 400−391=9400 - 391 = 9 units. Next hour, group without C has 2 from A and 3 from B, whose rate = 2(2)+3(1)=72(2) + 3(1) = 7 units/hr. To complete 9 units in 1 hour, rate required = 9 units/hr. Deficit = 9−7=29 - 7 = 2 units/hr. Since 1 member of B produces 1 unit/hr, 2 additional members from team B are required.

Related Arithmetic questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace