Q. Let $X$ and $Y$ be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then, $n(X \cap Y)$ is equal to

A) 4
B) 6
C) 8
D) 12
Explanation

(d)
$X \cap Y = \{ 1,\ 2,\ 4,\ 5,\ 8,\ 10,\ 20,\ 25,\ 40,\ 50,\ 100,\ 200\}$
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ n(X \cap Y) = 12$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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