Question 103

$$\ 3^{11} + 3^{12} + 3^{13} + 3^{14}\ $$ is divisible by _____.

Solution

Expression : $$\ 3^{11} + 3^{12} + 3^{13} + 3^{14}\ $$

= $$3^{11}(1+3+3^2+3^3)$$

= $$3^{11}\times(1+3+9+27)$$

= $$3^{11}\times(40)$$

$$\because$$ $$40$$ is divisible by 8, hence the above expression is also divisible by 8

=> Ans - (B)

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