Question

Find the value of 53·26) mod 5
(a) 3
(b) 4
(c) 2.
(d) 1​

Answer 1

Given : (53 * 26)  mod 5

To Find : Value

(a) 3

(b) 4

(c) 2.

(d) 1​

Solution:

(A * B) mod C = (A mod C * B mod C) mod C

(53 * 26)  mod 5 = ( 53 mod 5 * 26 mod 5 ) mod 5

53 mod 5  =  3  ( ∵ 53 = 5 x 10 + 3)

26 mod 5  =  1  ( ∵ 26 = 5 x 5 + 1)

(53 * 26)  mod 5 = ( 3 * 1)   mod 5

=> (53 * 26)  mod 5 =  3 mod 5

3 mod 5  = 3    as 3 > 5

(53 * 26)  mod 5 =  3

Another Simple Way :

(53 * 26)  mod 5

53 x 26 Ends with 8    and 8 = 5 + 3   Hence   3

Learn More:

If n is an integer then, find the value of(2n-1)"mod 16(a) 1(b) 0(c) 2(d ...

https://brainly.in/question/18383973

find maximum and minimum values of f(x)=mod x+3 - Brainly.in

https://brainly.in/question/8211433