Inequality Evaluation

CAT 2001 Slot 1 · Quantitative Ability · Easy · Algebra

This is an easy Quantitative Ability question from the CAT 2001 Slot 1 paper. It tests Algebra. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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If $x > 5$ and $y < -1$ , then which of the following statements is true?

A.
$(x + 4y) > 1$
B.
$x > -4y$
C.
$-4x < 5y$
D.
None of these

Answer

Explanation

Take $x = 6$ and $y = -6$ . Then $x + 4y = 6 - 24 = -18 \ngtr 1$ . $x = 6$ and $-4y = 24$ , so $6 \ngtr 24$ . $-4x = -24$ and $5y = -30$ , so $-24 \nless -30$ . None of the statements are universally true, so 'None of these' is correct.

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Inequality Evaluation

Explanation

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