Z is the set of integers and N is the set of natural numbers. If b∈Z,c∈Z and n∈N, if b and c are said to be congruent with respect to modulo n, then symbolically it is written as b≡c(modn).
Which of the following is true
A
4≡7(mod5)
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B
118≡18(mod5)
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C
110≡93(mod12)
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D
63≡9(mod11)
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Solution
The correct option is B118≡18(mod5) In computing, the modulo operation finds the remainder after division of one number by another
118 on division by 5 will give 3 as remainder
18 will give 3 as remainder on division by 5
So 118 and 18 are congruent with respect to modulo 5