Question

There are 500 students in a class. They arrange themselves equally into the group of y students. How many groups are there? 500=y, 500 xy, 500+y, 500-y​

Answer 1

Number of students in the school = 500

500 can be written as

i.e., 500=2×2×5×5×5

⇒500−−−√=2×2×5×5×5−−−−−−−−−−−−−−√=105–√=10×2.03=22.03≈22

⇒In each row or each column maximum 22 students can be arranged

⇒maximum students can participate in P.T. drill will (22)2

Therefore, the number of students left out=500−(22)2=500−484=16.