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CAT-2007-Previous Years Paper

Question
23 out of 25
 

Consider integers x, y and z. What is the minimum possible value of x² + y² + z²?

A: x + y + z = 89

B: Among x, y, z two are equal



A If the question can be answered using A alone but not using B alone.

B If the question can be answered using B alone but not using A alone.

C If the question can be answered using A and B together, but not using either A or B alone.

D If the question cannot be answered even using A and B together.

Ans. A

Using statement A:

x + y + z = 89

For x2+ y2+ z2to be minimum, each of x, y, z must take integral value nearest to

Let x = 30, y = 30, z = 29

Therefore, minimum value of

Thus, statement A alone is sufficient to answer the question.

CAT-2007-Previous Years Paper Flashcard List

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