JEE PYQ

[JEE Advanced 2006] if lcm p q r 2t 4s 2 r s t primes the number

VAVidaara Admin Asked 2d ago 0 views 1 answer
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If $\operatorname{lcm}(p,q)=r^2t^4s^2$ ($r,s,t$ primes), the number of ordered pairs $(p,q)$ is

(a) $252$
(b) $254$
(c) $225$
(d) $224$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) $225$

For a prime with exponent $e$, ordered pairs with max $=e$ number $2e+1$: $5\times9\times5=225$.

JEE Advanced 2006 · Permutations and Combinations — verified solution by the Vidaara Team.

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