Vaidehi's teacher asks her to find out the average(Arithmetic Mean) of 3 integers x,y and z, given that x
1. (x + y)z = 5
2. (x + z) < 3

(A)

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(B)

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(C)

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(E)

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Solution

The correct option is D
(E)

We get two values even on combining both cases.

Case 1: x = -3, y = 4, z = 5 x + z = 2 $<$ 3 x + y + z = 6
Case 2: x = -3, y = -2, z = -1 x + z = -4 $<$ 3 x + y + z = -6

Hence both statements together are also insufficient

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