in Quantitative Aptitude edited by
1 vote
1 vote

​​​​​​​Consider the following inequalities.

  1. $3p \:– q < 4$
  2. $3q \:– p < 12$

Which one of the following expressions below satisfies the above two inequalities?

  1. $p + q < 8$
  2. $p + q = 8$
  3. $8 \leq p + q < 16$
  4. $p + q \geq 16$
in Quantitative Aptitude edited by
by
4.6k points

1 Answer

0 votes
0 votes

Given that, 

  • $3p-q<4 \quad \longrightarrow (1)$
  • $3q-p<12 \quad \longrightarrow (2)$

Adding the equation $(1)\; \& \; (2).$

$3p-q + 3q-p < 4 + 12$

$\Rightarrow 2p + 2q < 16$

$\Rightarrow 2(p + q) < 16$

$\Rightarrow {\color{Green} {\boxed{p + q < 8}}}$

Correct Answer $:\text{A}$

edited by
2.5k points
Answer:
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
Welcome to GATE Chemical Q&A, where you can ask questions and receive answers from other members of the community.