Qus : 9
AMU MCA PYQ
1
If $X = {4^n - 3n - 1 \mid n \in N}$ and $Y = {9(n-1) \mid n \in N}$, then
1
$X \subset Y$
2
$Y \subset X$
3
$X = Y$
4
None of these Go to Discussion
AMU MCA Previous Year PYQ
AMU MCA AMU MCA 2016 PYQ
Solution Check divisibility:
$4^n - 3n - 1 \equiv 1 - 3n - 1 \equiv -3n \equiv 0 \ (\text{mod } 3)$
Also divisible by $3$ again ⇒ multiple of $9$
So $X \subset Y$
Final Answer: $\boxed{X \subset Y}$
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