Number System Practice Test 4

Question : 36 of 40

Marks: +1, -0

The digit in the unit's place of the number represented by

(7^95 - 3^58)

is—

Solution:

Here,

7^95 = 7^(23 × 4 + 3)

Hence, digit in unit place in

7^(23 × 4 + 3) = 3

Now,

3^58 = 3^(14 × 4 + 2)

Hence, digit in unit place in

3^(14 × 4 + 2) = 9

So, required digit = 13 – 9 = 4

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