For integers a, b and m > 0, write a\equivb (mod m) if m divides a - b. Then which one of the following is true ?

Correct Answer is : 120≡ -1(mod 11)

AP ICET 2015 Paper

Question : 100 of 200

Marks: +1, -0

For integers a, b and m > 0, write

a≡b

(mod m) if m divides a - b. Then which one of the following is true ?

Solution:

Given : a ≡ b (mod m) for integers a, b and m > 0

120≡-1

(mod 11)

⇒120-(-1)=121

which is divisible by 11

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