Multiple choice

Directions: In this problem, a question is given followed by three statements numbered (I), (II) and (III). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question. In how many days will 4 men and 10 women finish the work? I. 3 men and 5 women can finish the work in 4 days. II. A man is 2.5 times efficient than a woman. III. 4 men can do the same work as 10 women can.

  1. Only statements I and II

  2. Only statements I and III

  3. Only statement I and either statement II or statement III

  4. All three statements

  5. None of the statements
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the rate of 3M+5W. Statement II gives M=2.5W. Statement III gives 4M=10W, which is equivalent to 2M=5W. Statement I and either II or III allow us to express the total work in terms of one variable (e.g., all women) and solve for the time taken by 4M+10W.

AI explanation

To find the time for 4 men and 10 women, we need the total work and the relative efficiency of men and women. Statement I provides the equation 3m + 5w = 1/4 of the work per day. Statement II provides the relation m = 2.5w, and statement III provides the relation 4m = 10w (which simplifies to m = 2.5w). Solving the equation from statement I with the relation from either statement II or III gives the individual efficiencies, making only statement I and either statement II or statement III sufficient.

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