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1.Set Theory
medium
The number of elements in the set $\left\{ n \in N : 10 \leq n \leq 100\right.$ and $3^{ n }-3$ is a multiple of $7\}$ is $........$.
A
$15$
B
$14$
C
$13$
D
$12$
(JEE MAIN-2023)
Solution
$n \in[10,100]$
$3^{ n }-3 \text { is multiple of } 7$
$3^{ n }=7 \lambda+3$
$n =1,7,13,20, \ldots .97$
Number of possible values of $n=15$
Standard 11
Mathematics