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A number, when divided by 16, leaves a remainder 4. When the square of the number is divided by 16, what will be the remainder?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A number, when divided by 16, leaves a remainder 4. When the square of...
Let the number be = 16k + 4 (where k is positive integer.)
Square of the number = (16k + 4)2 = 256k2 + 16 + 128k
Now, we have to find the remainder when the above number is divided by 16.
We will see the reminder of each term when it is divided by 4.
Since 256k2 and 128k will give the remainder 0 and 16 will give the remainder 0 when divided by 4.
So the required remainder = 0 + 0 + 0 = 0
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A number, when divided by 16, leaves a remainder 4. When the square of the number is divided by 16, what will be the remainder?a)1b)2c)3d)0Correct answer is option 'D'. Can you explain this answer?
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