Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The set of values of x satisfying $26≡5(mod\, x)$ is ___________.

Options:

{3, 7}

{1, 3, 7}

{3, 21}

{3, 7, 21}

Correct Answer:

{3, 7, 21}

Explanation:

$26\equiv5\pmod{x}.$

$x\mid(26-5).$

$x\mid21.$

$\text{Divisors of }21:1,3,7,21.$

$\text{Required set }=\{3,7,21\}.$