CUET · MATHS · PYQ PAPER 2025
If \(X=11\) and \(Y=3\), then \(X \bmod Y=(X+a Y) \bmod Y\) holds:
- A Only for even integral values of \(a\)
- B Only for odd integral values of \(a\)
- C For all integral values of \(a\)
- D For \(a=0\) only
Answer & Solution
Correct Answer
(C) For all integral values of \(a\)
Step-by-step Solution
Detailed explanation
\(11 \bmod 3 = 2\) \((11+a \cdot 3) \bmod 3 = 11 \bmod 3 = 2\) For all integral values of \(a\).
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