Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

Choose the correct statement from the following.

A. 15 ≡ 3(mod 9)
B. 39 ≡ 12(mod 7)
C. 30 ≡ 4(mod 5)
D. 25 ≡ 3(mod 11)
E. 23 ≡ -4(mod 5)

Choose the correct answer from the options given below:

Options:

A only

C and E only

D only

B only

Correct Answer:

D only

Explanation:

The correct answer is Option (3) → D only

$\text{A: } 15 - 3 = 12,\ 12 \equiv 3 \ (\text{mod } 9)\ \text{False}$

$\text{B: } 39 - 12 = 27,\ 27 \not\equiv 0 \ (\text{mod } 7)\ \text{False}$

$\text{C: } 30 \equiv 0 \ (\text{mod } 5),\ 0 \neq 4\ \text{False}$

$\text{D: } 25 - 3 = 22,\ 22 \equiv 0 \ (\text{mod } 11)\ \text{True}$

$\text{E: } 23 \equiv 3 \ (\text{mod } 5),\ 3 \equiv -2 \neq -4\ \text{False}$

$\text{Correct statement: D}$