List of top Quantitative Aptitude Questions on Number Systems asked in SNAP

After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equally distributing. What is the smallest possible total number of sweets?

If \(n = 1 + x\), where \(x\) is the product of 4 consecutive positive integers, then which of the following is/are true?
1. \(n\) is odd
2. \(n\) is prime
3. \(n\) is a perfect square