Published by:
CGP EDU Academic Team
Published on: August 13, 2026
NUMERIC RESPONSE
If 
are prime numbers and p, q are the positive integers such that LCM of p, q is 
, then the number of ordered pairs ( 
) is
Text Solution
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NUMERIC RESPONSE
(225)
Since, 
are prime numbers
Selection of p and q are as under
p q Number of ways
r 0 r 2 1 way
r 1 r 2 1 way
r 2 r 0 , r 1 , r 2 3 ways
Total number of ways to select 
s 0 r 4 1 way
s 1 s 4 1 way
s 2 s 4 1 way
s 3 s 4 1 way
s 4 s 0 ,s 1 ,s 2 ,s 3 ,s 4 , 5 ways
Total number of ways to select 
. Similarly, the number of ways to select 
Total number of ways 
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