1966 AHSME Problems/Problem 20

Problem

The negation of the proposition "For all pairs of real numbers $a,b$ , if $a=0$ , then $ab=0$ " is: There are real numbers $a,b$ such that

$\text{(A) } a\ne 0 \text{ and } ab\ne 0 \qquad \text{(B) } a\ne 0 \text{ and } ab=0 \qquad \text{(C) } a=0 \text{ and } ab\ne 0$

$\text{(D) } ab\ne 0 \text{ and } a\ne 0 \qquad \text{(E) } ab=0 \text{ and } a\ne 0$

$\fbox{C}$

1966 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 19	Followed by Problem 21
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