What is the remainder when 19 92 is divided by 92? Options: A . &nbsp0 B . &nbsp1 C . &nbsp48 D . &nbspNone of these

Answer: Option D : D Euler’s number of 92 = 92 ( 1 − 1 23 ) ( 1 − 1 2 ) = 88 19 88 92 | r × 19 4 92 | r = 1 × 49 92 | r = 49 (from frequency)

What is the remainder when 1992 is divided by 92?

Question

What is the remainder when

19^{92}

is divided by 92?

Options:

A . 0

B . 1

C . 48

D . None of these

Answer: Option D
:
D
Euler’s number of

92 = 92 (1 - \frac{1}{23}) (1 - \frac{1}{2}) = 88

\frac{19^{88}}{92} | r \times \frac{19^{4}}{92} | r = 1 \times \frac{49}{92} | r = 49

(from frequency)

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