Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

If K≡ 5 (mod 11), then all the possible non-negative values of K are :

Options:

{2, 13, 24, 35, .......}

{16, 27, 38, 49, ........}

{5, 16, 27, 38, 49, ........}

{4, 15, 26, 37, ........}

Correct Answer:

{5, 16, 27, 38, 49, ........}

Explanation:

The correct answer is Option (3) → {5, 16, 27, 38, 49, ........}

The given modular congruence is,

$k≡5(mod\,11)$

⇒ General solution = $11n + 5$ ($n≥0$ and $n∈Z$)

$∴k=\{5, 16, 27, 38, 49, ........\}$