The unit digit in (7⁹⁵ - 3⁵⁸) ? /,For ssc mts, railway si, constable, ASO

Q. The unit digit in (7⁹⁵ - 3⁵⁸) ?

A. 0                         B. 6

C. 4                          D. 7

Answer:- Option C. 4

Explanation:-

At first we solve 7⁹⁵,

If we multiplying 7×7×7×7..…...

Then the unit digits are 1st- 9, 2nd- 3, 3rd- 1, 4th- 7

We have four unit digits,

So the unit digit in 7⁹⁵ is

95 ÷ 4. (Reminder=3)

So our unit digit is 3rd number is 1.

Or 7³ = 343 unit digit is 3.

Now we solve 3⁵⁸.

If we multiplying 3×3×3×3.......

The unit digits are 1st- 9, 2nd- 7, 3rd- 1, 4th- 3

We have four unit digits,

So the unit digit in 3⁵⁸ is

58÷4 (Reminder=2)

So our unit digit is 2nd number is 7.

Or 2² =9 unit digit is 9.

Now according to question ,

Unit digit in

(7⁹⁵ - 3⁵⁸) =  1 - 7.

Here 7 can't subtract from 1.

Hence 11 - 7 = 4 (Answer)

Or 3 - 9

9 can't be subtracted from 3

Hence 13 - 9 = 4(Answer)

Option C. 4 is correct.

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