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. 
2. 16
3. 24
4. 36
5. 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 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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