Question

D. Long Answer QWUIT
01. Show that only one of the numbers n, n+
and n +4 is divisible by 3, where n is any
positive integer.

Q2. Show that one and only one t integer. ​

Answer 1

1 is positive integer.

Answer 2

Answer:

Step-by-step explanation:

ans 1:

We applied Euclid Division algorithm on n and 3.

a = bq +r  on putting a = n and b = 3

n = 3q +r  , 0<r<3

i.e n = 3q   -------- (1),n = 3q +1 --------- (2), n = 3q +2  -----------(3)

n = 3q is divisible by 3

or n +2  = 3q +1+2 = 3q +3 also divisible by 3

or n +4 = 3q + 2 +4 = 3q + 6 is also divisible by 3

Hence n, n+2 , n+4 are divisible by 3