Question

when a positive integer a is divided by 5 , what can be the value of the remainder r ? please correct tha answer .
options
A) Any natural number
B) 0 or 1 only
C) 0,1,2,3,4or 5 only
D) 0,1,2,3,or 4 only
please correct answer .​

Answer 1

Answer:

option. B is the correct answer

Answer 2

Option D is the correct answer.

• Let x and a be two numbers where x is the dividend and a is the divisor respectively.
• Let r be the remainder and q be the quotient respectively.
• If a number x is divided by a, then according to the properties of division, the remainder r can be in the range from [0, a) ( 0 inclusive and a is exclusive).
• The Remainder can be ranging from 0 to a-1 (both exclusive).
• The Remainder Can never be equal to Divisor ( value of a)
• Example: If a number is being divided by 3, Then the possible remainders are 0,1 and 2.

Therefore considering the above points, we can conclude that when a number is being divided by 5, The possible remainders are 0,1,2,3 and 4.

Therefore, Option D i.e 0,1,2,3 or 4 only is the correct answer.