GATE 2022 CH – Question 8

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

Consider the following inequalities.
(i) $3p - q < 4$
(ii) $3q - p < 12$
Which one of the following expressions below satisfies the above two inequalities?

$p + q < 8$
$p + q = 8$
$8 \le p + q < 16$
$p + q \ge 16$

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Show answer and explanation

Correct answer: (A) $p + q < 8$

Explanation

Adding the two inequalities gives $2p + 2q < 16$, so $p + q < 8$.