Question

if N=5 gives the remainder 2, then what will be the unit digit of the number N?
A. 2 or 5
B. 2 or 6
C. 2 or 7
D. 1 or 6
give answers from these options and explain answers also​

Answer 1

Answer:

Correct answer is 3.

Step-by-step explanation:

If

5

N

gives remainder 3, then N=5a+3 for natural number a.

For a being even, 5a has unit place 0 and 3 added gives unit place 3

For a being odd, 5a has unit place 5 and 3 added gives unit place 8

So, its either 3 or 8

Answer 2

A positional numeral system uses a single symbol, the numerical digit, either individually or in combination to represent numbers.

The answer is C. 2 or 7

Modular arithmetic can be used to solve this issue. When N is divided by 5, if the remaining is 2, we can write this as:

N ≡ 2 (mod 5) (mod 5)

This indicates that N is a multiple of 5 by 2 more. To put it another way, we can say:

N = 5k + 2

where k represents a number. We're looking for N's unit digit, or the digit that goes in the ones place.

We can do this by taking k's potential values into consideration. N = 2, which has the unit digit of 2, if k = 0. N has a unit digit of 7, therefore if k = 1, then N is equal to 7. N = 12, which has a unit digit of 2, if k = 2. N has a unit digit of 7, which is equal to 17, if k = 3. so forth.

It should be noted that the N unit digit depends solely on the value of k. The unit digit specifically repeats every fifth value of k. As k is a multiple of 5 or k is one more than a multiple, we can infer that the two potential unit digits of N are 2 and 7, respectively.

for such more question on digit

https://brainly.in/question/162605

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