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A number when divided by 5 leaves a remainder 4. What is the remainder when the square of the same number is divided by 5?
  • a)
    1
  • b)
    2
  • c)
    4
  • d)
    3
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A number when divided by 5 leaves a remainder 4. What is the remainder...
Le the number be 5a + 4
square of the number = 25a2 + 16 + 40a
so remainder = 1 (16 divided by 5 leaves a remainder 1)
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Most Upvoted Answer
A number when divided by 5 leaves a remainder 4. What is the remainder...
Solution:
Let the number be x.
When x is divided by 5, the remainder is 4.
So, x = 5k + 4, where k is a whole number.
We need to find the remainder when x2 is divided by 5.
(x2) = (5k + 4)2
= 25k2 + 40k + 16
= 5(5k2 + 8k + 3) + 1
Therefore, the remainder when x2 is divided by 5 is 1.
Hence, the correct answer is option A.
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Community Answer
A number when divided by 5 leaves a remainder 4. What is the remainder...
Le the number be 5a + 4
square of the number = 25a2 + 16 + 40a
so remainder = 1 (16 divided by 5 leaves a remainder 1)
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A number when divided by 5 leaves a remainder 4. What is the remainder when the square of the same number is divided by 5?a)1b)2c)4d)3e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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