CUET Preparation Today
CUET
-- Applied Mathematics - Section B2
Numbers, Quantification and Numerical Applications
If x is the least positive integer satisfying 100 ≡ x(mod 6), then (2x + 1) is equal to:
7
5
9
11
The correct answer is Option (3) - 9
$100 \equiv x \pmod{6}$
$100 = 6 \cdot 16 + 4$
$x = 4$
$2x + 1 = 2(4) + 1 = 9$
The value of $2x + 1$ is $9$.