Question

If a mod 3 = 1 and b mod 3 = 2 , where a,b∈ N, then choose the set of correct options

a.) (ab) mod 3 =0.

b.) (ab) mod 3 = 2

c.) (a+b) mod 3 = 0

d.) (a+b) mod 2 = 1

Answer 1

Answer:

Option b) , c) & d) are correct

Step-by-step explanation:

A/q,

a mod 3 =1 & b mod 3 =2

Therefore, value of a should be 4, 7, 10 and so on

any natural no. that gives 1 as remainder when divided by 3.

Similarly,

Value of b should be 5, 8, 11, and so on

any natural no. that gives 2 as remainder when divided by 3.

Hence,

putting the corresponding values we get option b, c & d CORRECT.

This question is from  IIT MADRAS BSC in DATA SCIENCE AND PROGRAMMING ,BATCH 2022 ONLINE COURSE WEEK 1 MATHS (GRADED ASSIGNMENT) QUESTION.