GATE 2019 CY – Question 4
General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice
Two integers have sum 26 and product 165. What is their positive difference?
- 2
- 3
- 4
- 6
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Show answer and explanation
Correct answer: (C) 4
Explanation
Use $(a-b)^2=(a+b)^2-4ab=26^2-4(165)=16$. Hence |a−b|=4, C. Equivalently, the integers are 11 and 15, whose sum and product meet both conditions.
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