Question

How many possible unique values does
‘A’ have?
'A' is the remainder when 35 x 7m is divided by 10. 'm' and 'n' are positive integers.​

Answer 1

Answer:

It tells us about the divisibility of integers. It states that any positive integer ‘a’ can be divided by any other positive integer ‘ b’ in such a way that it leaves a remainder ‘r’.

Euclid's division Lemma states that for any two positive  integers  ‘a’  and  ‘b’  there  exist two  unique  whole  numbers  ‘q’  and ‘r’  such that , a = bq  +  r, where 0≤r<b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

Hence, the values 'r’ can take  0≤r<b.