Question

if the division N divided by 2 leaves no remainder and N divided by 5 leaves remainder 4 ,then what must be the ones digit of N

Answer 1

Answer: The ones digit of N must be 4.

Step-by-step explanation:

Because when N is divided by 2, it leaves no remainder, it means N is divisible by 2.

=> The ones digit will be even, i.e., 0, 2, 4, 6, or 8

But when N is divided by 5, it leaves remainder 4, it means the ones digit will be either 4 or 9.

By reasoning, we can conclude that if a number is divisible by 2 and if divided by 5 leaves remainder 4, then ones place must be 4.

For example,

4, 14, 24, 34, 44, 56 etc.

All are divisible by 2 and also when divided by 5 leaves 4 as remainder.

Answer 2

Answer:

N = 4

Step-by-step explanation:

this is bcause

N/2 leaves no remainder that means the unit digit must be an even number...

we also know that a no is divisible by 5 only when the units digit ends with 0 or 5.....

now, we know it leaves behind 4.. we will find the unit digit by using trial and error method,

numbers divided by 5= reminder

12=will leave reminder 2

13=3

whereas 14=4

so,your ans is 4....