Correct option is B
Given:
100 balls are equally distributed among students.
Class strength (number of students) is between 10 and 60.
After distributing, 7 balls remain.
If there were 125 balls instead, how many balls would remain?
Solution:
Step 1: Understand the condition
If 100 balls leave 7 balls remaining, it means:
100 ÷ number of students leaves remainder 7
Let number of students = n
So: 100 mod n = 7 => (100 − 7) = 93 is divisible by n
Therefore: n divides 93 exactly, and
n is between 10 and 60
Step 2: Find divisors of 93 between 10 and 60
Prime factorization of 93 = 3 × 31
So divisors of 93 = 1, 3, 31, 93
From these, only 31 lies between 10 and 60
So the class strength n = 31
Step 3: Now find remainder when 125 balls are distributed among 31 students
125 ÷ 31 = 4 remainder 1
Final Answer:
S. Ans. (B) 1
