TANCET 2008 - Previous year test paper: Equations, Number properties, fractions, indices : Ascent Education best TANCET MBA Classes

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You are here: Home   TANCET Prep Questions  Number Properties   TANCET 2008 Question 18

TANCET 2008 Quant - Number Property Comparisons

Number Properties Question 17

If x, y, z are chosen from the three numbers, -3,  and 2, what is the largest possible value of the expression  z2?
  1. 16
  2. 24
  3. 36
  4. 54
Correct Answer : 36. Choice (4)

Explanatory Answer

One of the numbers is negative. The expression  z2 will be maximized when the values are positive.

Therefore, z has to be (-3) as any number, positive or negative when squared will be a positive number.

One of x or y has to be 2 and the other  .

As y is in the denominator of the expression, if y takes the value of  the value of 1/y will become 2 thereby maximizing the expression.

So, x = 2, y =  and z = -3.

The largest value of the expression is  = 36

Level of difficulty : Moderate

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