CUET Preparation Today
CUET
Section B2
Numbers, Quantification and Numerical Applications
If 149≡ 5(mod m), then which of the following cannot be the value of m ?
9
14
36
24
The correct answer is Option (2) → 14
$149≡5(\text{mod m})$
$⇒5=\text{remainder}(\frac{149}{m})$
$⇒5=\text{remainder}(\frac{149}{12})$ [$m=12$ assume]
$⇒5=5$