Multiple choice

Directions: In each of the following questions, 2 statements are given, you have to determine that which statement/statements are necessary to answer the question and give answer. (a) If statement I alone is sufficient but statement II alone is not sufficient. (b) If statement II alone is sufficient but statement I alone is not sufficient. (c) Either statement I or statement II alone is sufficient. (d) Statement I and statement II even together are not sufficient. (e) Statement I and statement II together are sufficient. In how many days can 6 girls complete the work? Statements: I. 5 girls can complete the work in 15 days. II. 6 girls and 6 boys can complete the work in 10 days.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
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A Correct answer
Explanation

Statement I allows us to calculate the work rate of 5 girls, which directly gives the rate for 6 girls. Statement II involves boys, which is irrelevant without knowing the boy-girl work ratio.

AI explanation

Using statement I, we find the total work by multiplying the number of workers by the days required, giving 5 girls times 15 days equals 75 girl-days. To find the time for 6 girls, divide this total work by 6, yielding 75 divided by 6 equals 12.5 days. Statement II introduces boys without providing the ratio of efficiency between boys and girls, so it cannot be used to isolate the work rate of the girls alone. Therefore, only the first statement provides sufficient information to answer the question.

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