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If r,s,t are prime numbers and p,q are the positive integers such that the L.C.M. of p,q is r 2 s 4 t 2 , then the number of ordered pairs of (p,q) is A) 252 B)254 C)225 D)224

If r,s,t are prime numbers and p,q are the positive integers such that the L.C.M. of p,q is r2s4t2, then the number of ordered pairs of (p,q) is


A) 252


B)254


C)225


D)224

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Hi raman malik

Required number of ordered pair (p, q) is (2 × 3 − 1) (2 × 5 −1) (2 × 3 − 1) = 225.

so answer  c is correct


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