Directions Next five questions In each of the following questions a question is followed by informat...........

Math and Mental Ability Data Sufficiency

Directions (Next five questions):

In each of the following questions, a question is followed by information given in three statements I, II & III. You have to study the question along with the statements and decide, the information given in which of the statements is necessary to answer the question.

Question: In how many days can 16 men and 8 women together complete the piece of work?

I. 8 men complete the piece of work in 10 days.

II. 16 women complete the piece of work in 10 days.

III. 5 women take 32 days to complete the piece of work.

I & II

I & III

II & III

I & either II or III

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Explanation:

- Statement I: Provides information on how long 8 men take to complete the work.

- Statement II: Tells us about 16 women completing the work in 10 days.

- Statement III: Describes that 5 women take 32 days for the same work.

- Option 1: I & II – Uses the data for both men (I) and women (II) together.

- Option 2: I & III – Uses data for men (I) and another workforce for women (III).

- Option 3: II & III – Both statements account for women only and ignore men.

- Option 4: I & either II or III – We can calculate total work using men data from I and women data from either II or III, as both provide consistent calculation.

To find how many days 16 men and 8 women can complete the work, we need the work rate of both men and women. Statement I provides the men's work rate, and either II or III provides the women's work rate.

Therefore, the correct answer is:

Option 4: I & either II or III