BPSC – Combined Competitive Examination · Question 85
Which two natural numbers have a product of 2400 and the sum of their squares equal to 5200?
Show answer & explanation
Answer: (C) 60, 40
Explanation
(x + y)² = 5200 + 4800 = 10000 → 100; (x − y)² = 400 → 20; so 60 and 40.
- (A) Incorrect
Wrong: 80² + 30² = 7300.
- (B) Incorrect
Wrong: 75² + 32² ≠ 5200.
- (C) Correct
Correct: 60 × 40 = 2400 and 3600 + 1600 = 5200.
- (D) Incorrect
Wrong: 120² + 20² = 14800.
- (E) Incorrect
Wrong: only one of the options A–D is correct.