Polynomials related Questions by Balaji

[Balaji]

A 4 digit prime no when divided by 24 leaves a remainder r. how many possible values can r take ?



a)7



b)8



c)9



d)10

answer choice b



solution



24k+r=prime

r is not equal to 0

r can be 1

if r=2 then 24k+r will multiple of 2

24k+3=3(8k+1)

r has to be coprime with 24

r can be 1,5,7,11,13,17,19,23



8 values totally nothing pi (24)