GATE 2022 AG – Question 8

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

Given $3p-q<4$ and $3q-p<12$, which expression follows?

$p+q<8$
$p+q=8$
$8\le p+q<16$
$p+q\ge16$

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Show answer and explanation

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

Explanation

Adding inequalities gives $2p+2q<16$. Divide by positive 2 to obtain **p+q < 8, A**. Adding strict inequalities preserves strictness, so equality is excluded.

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