Number System Practice Test 4

Question : 9 of 40

Marks: +1, -0

When a number divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:

Solution:

The number = 6x + 3
Now,

(6x + 3)^2 = 36x^2 + 36x + 9

= (36x^2 + 36x + 6) + 3

= 6(6x^2 + 6x + 1) + 3

Hence, required remainder = 3

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