GATE EE 2026 Set 1 — Question 10
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
and are two positive integers such that . The product of the numbers and is _________
Correct answer
(D) 42
Solution
Given . Since 13 is a prime number and are positive integers, the only factors of 13 are 1 and 13. Also, for positive integers . Therefore, we must have:
Subtracting the two equations: .The product of the numbers and is . Thus, option (D) is correct.
1.
2.
Adding the two equations: .Subtracting the two equations: .The product of the numbers and is . Thus, option (D) is correct.
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