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:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → D only
$\text{A: } 15 - 3 = 12,\ 12 \equiv 3 \ (\text{mod } 9)\ \text{False}$
$\text{B: } 39 - 12 = 27,\ 27 \not\equiv 0 \ (\text{mod } 7)\ \text{False}$
$\text{C: } 30 \equiv 0 \ (\text{mod } 5),\ 0 \neq 4\ \text{False}$
$\text{D: } 25 - 3 = 22,\ 22 \equiv 0 \ (\text{mod } 11)\ \text{True}$
$\text{E: } 23 \equiv 3 \ (\text{mod } 5),\ 3 \equiv -2 \neq -4\ \text{False}$
$\text{Correct statement: D}$