Question

The last digit of the number 32015 is

1
3
5
7

Answer 1

Answer:

Correct option is D.

Explanation:

The cyclic frequency of number 3 is 4. Last digit comes in iteration of 4 numbers: 3, 9, 7 and 1.

31 = 3

32 = 9

33 = 27

34 = 81

35 = 243

Cyclic frequency means that the last digit repeats after every fourth power. Last digit of:

34n+1 is 3

34n+2 is 9

34n+3 is 7

34n+4 is 1

Now, you have to find remainder when 2015 is divided by 4. The remainder is 3.

2015 = 4n + 3

Last digit will be 7.

Answer 2

Answer:

5 is last digit

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