Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? In how many days can 16 boys and 8 girls do a piece of work? (I) 5 girls can do the same work in 32 days. (II) 16 girls can do the same work in 10 days. (III) 8 boys can do the same work in 10 days.

  1. Any two

  2. Only III and either I or II

  3. Only I and III

  4. Only II and III

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement III alone gives the work rate of boys (8 boys = 10 days, so 16 boys = 5 days). Either Statement I (5 girls = 32 days) or Statement II (16 girls = 10 days) provides the girls' work rate. Combining III with either I or II gives the combined work rate of 16 boys and 8 girls. Statement II alone is redundant if I is present, and vice versa.

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