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GATE 2016 ME (ME3) – Question 5

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?

  1. 1:1
  2. 1:2
  3. 1:4
  4. 2:1

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Correct answer: (B) 1:2

Explanation

Work equals efficiency multiplied by time. M has twice E’s efficiency, works half as many days and half as many hours per day. Hence M/E=2×(1/2)×(1/2)=1/2, so **M:E=1:2, B**.