मुख्य मजकुराकडे जा

State PCS PYQPrelims 2022

BPSC – Combined Competitive Examination · प्रश्न 85

Which two natural numbers have a product of 2400 and the sum of their squares equal to 5200?

80, 30
75, 32
60, 40
120, 20
None of the above / More than one of the above

उत्तर दाखवा आणि स्पष्टीकरण

उत्तर: (C) 60, 40

स्पष्टीकरण

(x + y)² = 5200 + 4800 = 10000 → 100; (x − y)² = 400 → 20; so 60 and 40.

(A) चूक
Wrong: 80² + 30² = 7300.
(B) चूक
Wrong: 75² + 32² ≠ 5200.
(C) बरोबर
Correct: 60 × 40 = 2400 and 3600 + 1600 = 5200.
(D) चूक
Wrong: 120² + 20² = 14800.
(E) चूक
Wrong: only one of the options A–D is correct.