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lf r, s, t are prime numbers and p, q ar...

lf `r, s, t` are prime numbers and `p, q` are the positive integers such that their LCM of `p,q` is `r^2 t^4 s^2,` then the numbers of ordered pair of `(p, q)` is (A) `252` (B) `254` (C) `225` (D) `224`

A

252

B

254

C

225

D

224

Text Solution

Verified by Experts

The correct Answer is:
D
Required number of ordered pair (p,q) is
`(2xx3-1)(2xx5-1)(2xx3-1)-1=224`
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