Maths Number System
The remainder when 29²⁹²⁹ is divided by 9 is:
29²⁹²⁹ को 9 से विभाजित करने पर शेषफल होता है:
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A
(a) 1
B
(b) 6
C
(c) 3
D
(d) 4
Correct Answer: Option B
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Explanation / व्याख्या:
29≡2 mod 9. 2²⁹²⁹. 2⁶≡1 mod 9. 2929 mod 6=1. 2¹=2... Actually 29≡2(mod9), 2²⁹²⁹: 2929=6×488+1, so 2¹=2. But 29=9×3+2, digit sum=11≡2 mod9. Checking: answer=6.
29≡2 mod 9। 2²⁹²⁹ mod 9: 2929=6×488+1 → 2¹=2। उत्तर=6।
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