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The possible value (s) of x such that 28≡x(mod 6)28 \equiv x(mod\ 6) are :-

(A) -2

(B) 4

(C) 6

(D) 10

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 3

Since 28=4(mod6)28 = 4\pmod 6, we need x≡4(mod6)x \equiv 4 \pmod 6. Now −2-2 leaves remainder 4, 4 leaves 4 and 10 leaves 4, but 6 leaves 0. So (A), (B) and (D) work.

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