CAT Quant Practice Problems

Question: The question is followed by two statements A and B. Indicate your response based on the following directives.

The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, WI , of Section I is smaller than the average weight WII , of the Section II. If the heaviest student say Deepak, of section II is moved to Section I, and the lightest student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WII and that of Section II becomes WI . What is the weight of Poonam?

A: WII – WI =1.0.

B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the two sections equal.

  1. The questions can be answered using A alone but not using B alone.
  2. The question can be answered using B alone but not using A alone.
  3. The question can be answered using A and B together, but not using either A or B alone.
  4. The question cannot be answered even using A and B together

Correct Option:3

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CAT Quant Practice Problems
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