If p + q = r, then it is not possible that (A) p > q > r

Question

The following symbols have been used.

x Stands for equal to

< Stands for not equal to

• Stands for greater than

• Stands for not greater than

Stands for less than

= Stands for not less than

If p + q = r, then it is not possible that

(A) p > q > r

(B) p < q + r

(C) p × q > r

(D) p + q × r

Answer 1

(C) With the notations given,

p + q = r means p ≤ q ≥ r

From option (A), p > q > r means p < q ≠ r, this is true.

From option (B), p < q + r means p ≠ q ≤ r, this is true.

From option (C), p × q > r means p = q < r, this is not true.

From option (D), p + q × r means p ≤ q = r, this is true.