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

Question

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

Badiuddin askIITians.ismu Expert · Answer

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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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

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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

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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 r²s⁴t², then the number of ordered pairs of (p,q) is

A) 252

B)254

C)225

D)224