Which of the following is the highest value? - Vidyadip

MCQ

Which of the following is the highest value?

A
$12^9$
B
$10^{11}$
C
$11^{10}$
✓
All option are right

✓

Answer

Correct option: D.

All option are right

We know a prime $x > 6$ can be always written as $6k + 1$ or $6k - 1,$ when $k$ is an integer.
Option $A \rightarrow 889 = 6 \times 148 + 1$
Option $B \rightarrow 997 = 6 \times 166 + 1$
Option $C \rightarrow 899 = 6 \times 133 + 1$
Option $D \rightarrow 1147 = 6 \times 191 + 1$
$\therefore$ All the options are correct.

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