Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
. If the number of elements 
in S such that 
is a multiple of 5 is 
and the number of elements 
in 
such that 
is a square of a prime number is q , then 
is equal to 
.
Text Solution
Verified by ExpertsThe correct answer is:
1333
(1333)
For 
:
and 
So 
This equals 0 only when n is odd.
Number of odd n in 
, and m can be any of 50 values.
For 
square of prime, possible values are 
.
: 3 pairs
pairs
pairs
pairs
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The largest , for which divides 101 !, is :
The number of 4 -letter words, with or without meaning, which can be formed using the letters PQRPQ…
Three persons enter in a lift at the ground floor. The lift will go upto floor. The number of ways…
The largest value of , for which divides , is
The letters of the word "UDAYPUR" are written in all possible ways with or without meaning and thes…
Let ABC be a triangle. Consider four points on the side AB , five points on the side , and four …