# 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

z

^{2}?

- 16
- 24
- 36
- 54

**Correct Answer** : 36. Choice (4)

#### Explanatory Answer

One of the numbers is negative. The expression

z

^{2} 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

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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