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Q.

The remainder, when 7103 is divided by 23, is equal to:

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a

17

b

14

c

9

d

6

answer is A.

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Detailed Solution

7103 = 7 (7103) = 7 (343)34 = 7 (345 – 2)34
7103 = 23K1 + 7.234
Now 7.234 = 7 . 22 . 232
= 28 . (256)4
= 28 (253 + 3)4
∴ 28 × 81 ⇒ (23 + 5) (69 + 12)
23K2 + 60
∴ Remainder = 14

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