Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

If x is the least positive integer satisfying 100 ≡ x(mod 6), then (2x + 1) is equal to:

Options:

7

5

9

11

Correct Answer:

9

Explanation:

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 $9$.