Choose the correct statement from the following. A. 15 ≡ 3(mod 9) Choose the correct answer from the options given below: |
A only C and E only D only B only |
D only |
The correct answer is Option (3) → D only $\text{A: } 15 - 3 = 12,\ 12 \equiv 3 \ (\text{mod } 9)\ \text{False}$ $\text{B: } 39 - 12 = 27,\ 27 \not\equiv 0 \ (\text{mod } 7)\ \text{False}$ $\text{C: } 30 \equiv 0 \ (\text{mod } 5),\ 0 \neq 4\ \text{False}$ $\text{D: } 25 - 3 = 22,\ 22 \equiv 0 \ (\text{mod } 11)\ \text{True}$ $\text{E: } 23 \equiv 3 \ (\text{mod } 5),\ 3 \equiv -2 \neq -4\ \text{False}$ $\text{Correct statement: D}$ |