Subject
Quantitative Aptitude
Topic
Number
A number gives a remainder 5 when it is divided by 8. What will be the remainder when the square of the same number is divided by 4?
A number gives a remainder 5 when it is divided by 8. What will be the remainder when the square of the same number is divided by 4?
ক)
2খ)
0গ)
1ঘ)
Can’t be determinedঙ)
None of theseExplanation
Let the number be = 8k + 5 where k is positive integer. Square of the number, (8k + 5) 2 = 64k 2 + 25 + 80k Now, we have to find the remainder when the above number is divided by 4. We will see the reminder of each term when it is divided by 4. Since 64k 2 and 80k will give the remainder 0 and 25 will give the remainder 1 when divided by 4. So the required remainder = 0 + 0 + 1 = 1Related questions
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