List of top Mathematics Questions on Number System asked in BITSAT

Find the number of integers \(n\) such that \(1 \leq n \leq 100\) and \(n^2 + 3n + 2\) is divisible by 5.
The integer just greater than (3+√(5))²n is divisible by (n∈N)
\(\frac{2^1}{4} \cdot \frac{2^2}{8} \cdot \frac{2^3}{16} \cdot \frac{2^4}{32} \cdots\) is equal to
The number of positive integral solutions of \( abc = 30 \) is:
Let \( x \) and \( y \) be two natural numbers such that \( x \cdot y = 12(x + y) \) and \( x \leq y \). Then the total number of pairs \( (x, y) \) is: