Which is the largest possible value of the expression (-x/z)\times(y)^2, if the value of x, y and z are to be chosen from the three numbers -1/7 , 3, -2 (the numbers may not be in the given order).

Number System Practice Test 3

Question : 28 of 40

Marks: +1, -0

Which is the largest possible value of the expression

(-x/z)×(y)^2

, if the value of x, y and z are to be chosen from the three numbers

-1/7 , 3, -2

(the numbers may not be in the given order).

Solution:

z must be

-1/7

because it is fraction. Moreover, the negative value of z will make

x/z

positive,
∴ y will be -2 and x = 3
So, the maximum value of expression

=[-3/(-1/7)]×(-2)^2

= 3 × 7 × 4 = 84

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