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Q33
(CISF/2026)
Science & Technology › Basic Science (Physics, Chemistry, Biology)
If the difference of two numbers is 5 and their product is 10, then what is the value of the sum of squares of those numbers ?
Result
Your answer:
—
·
Correct:
C
Explanation
To find the sum of the squares of the two numbers, we use the standard algebraic identity: (x - y)² = x² + y² - 2xy.
- Let the two numbers be x and y.
- Given the difference: x - y = 5
- Given the product: xy = 10
Substituting these values into the identity:
(5)² = (x² + y²) - 2(10)
25 = (x² + y²) - 20
To solve for the sum of squares (x² + y²), add 20 to both sides of the equation:
x² + y² = 25 + 20 = 45
Therefore, the value of the sum of the squares of those numbers is 45, which matches option C.
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