Previous Year Paper
CAT-2007-Previous Years Paper
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.|
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.