GATE 2022 PI – 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**.
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