Question : $3^{11}+3^{12}+3^{13}+3^{14}$ is divisible by:
Option 1: 7
Option 2: 8
Option 3: 11
Option 4: 14

Question

Question : $3^{11}+3^{12}+3^{13}+3^{14}$ is divisible by:

Option 1: 7

Option 2: 8

Option 3: 11

Option 4: 14

Team Careers360 · Accepted Answer

Correct Answer: 8

Solution : Given:
$3^{11}+3^{12}+3^{13}+3^{14}$
= $3^{11}(1+3+3^2+3^3)$
= $3^{11}(40)$
Since 40 is divisible by 8,
Therefore, the above expression is also divisible by 8.
Hence, the correct answer is 8.

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Question : $3^{11} + 3^{12} + 3^{13} + 3^{14}$ is divisible by:
Option 1: 7
Option 2: 8
Option 3: 11
Option 4: 14