Maths Number System
What is the remainder when we divide 3⁹⁰ + 5⁹⁰ by 34?
जब हम 3⁹⁰ + 5⁹⁰ को 34 से भाग देते हैं तो शेषफल क्या होता है?
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A
(a) 29
B
(b) 27
C
(c) 0
D
(d) 8
Correct Answer: Option C
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Explanation / व्याख्या:
3⁹⁰+5⁹⁰ = (3²)⁴⁵+(5²)⁴⁵ = 9⁴⁵+25⁴⁵. Since n is odd, 9⁴⁵+25⁴⁵ is div by 9+25=34. Remainder=0.
9⁴⁵+25⁴⁵, 9+25=34 से विभाज्य (n विषम)। शेष=0।
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