GATE ME 2023 Set 1 — Question 7
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
Consider the following inequalities where and are positive integers.
The value of is _______.
The value of is _______.
Correct answer
(A) 2
Solution
Given and are positive integers ().
From the second inequality: .
If , then . Since is a positive integer, .
If , then , which makes impossible for positive .
So, the only possible pair is .
Now, check this pair in the first inequality: . Since , the condition is satisfied.
The value of .
From the second inequality: .
If , then . Since is a positive integer, .
If , then , which makes impossible for positive .
So, the only possible pair is .
Now, check this pair in the first inequality: . Since , the condition is satisfied.
The value of .
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