Question
Find the remainder when `2^31 ` is divided by 3. ?
Answer: Option A
Was this answer helpful ?
`2^31` = `(2^10 xx 2^10 xx 2^10) xx 2`
=`(2^10)^3 xx 2`
=`(1024)^3 xx 2`
Unit digit in `2^31` = Unit digit in `[(1024)^3 xx 2]` = (4 x 2)
= 8.Now , 8 when divided by 5 gives 3 as remainder.
`:.` `2^31` when divided by 5 gives remainder = 3.
Was this answer helpful ?
More Questions on This Topic :
Question 2.
Simplify : `((....
Question 7.
What least number must be added to 2010 to o....
Question 9.
Simplify : `(789 xx ....
Submit Solution