Q29 / 35 · NTA Abhyas (JEE Main) 2020 · Mathematics · Sets and Relations

If $A = \{x : x = 6^{n} - 5 n - 1, n \in N\}$ and $B = \{x : x = 25 (n - 1), n \in N\}$ , then

A
$A = B$
B
$B \subset A$
Correct answer
C
$A \subseteq B$
D
$B \subseteq A$

Solution

A = {0, 25, 200, ......}

B = {0, 25, 50, 75 ......}

Clearly,

A \subseteq B

Hence, the correct answer is option: 'C'.

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