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Find the greatest perfect square of 5 digits.
- a)99825
- b)99856
- c)90825
- d)90856
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the greatest perfect square of 5 digits.a)99825b)99856c)90825d)90...
We know that the largest 5 digit number is 99999. So let us check whether it is a perfect or not ? So here we can see that 99999 is not a perfect square as it leaves 143 as the remainder while finding it s square root. Hence 99856 is a perfect square whose square root is √99856 = 316.
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Most Upvoted Answer
Find the greatest perfect square of 5 digits.a)99825b)99856c)90825d)90...
Solution:
To find the greatest perfect square of 5 digits, we need to first find the smallest and largest perfect squares of 5 digits.
Smallest perfect square of 5 digits:
The smallest perfect square of 5 digits is the square of the square root of the smallest 5-digit number, which is 100. Thus, the smallest perfect square of 5 digits is 10000.
Largest perfect square of 5 digits:
The largest perfect square of 5 digits is the square of the square root of the largest 5-digit number, which is 99999. Thus, the largest perfect square of 5 digits is 9999820001.
Now, we need to check which of the given options lies between 10000 and 9999820001 and is also a perfect square.
Checking the options:
a) 99825 = 315^2 - NOT a perfect square
b) 99856 = 316^2 - a perfect square
c) 90825 = 301^2 - NOT a perfect square
d) 90856 = 301.5^2 - NOT a perfect square
Therefore, the greatest perfect square of 5 digits is option 'B', which is 99856.
To find the greatest perfect square of 5 digits, we need to first find the smallest and largest perfect squares of 5 digits.
Smallest perfect square of 5 digits:
The smallest perfect square of 5 digits is the square of the square root of the smallest 5-digit number, which is 100. Thus, the smallest perfect square of 5 digits is 10000.
Largest perfect square of 5 digits:
The largest perfect square of 5 digits is the square of the square root of the largest 5-digit number, which is 99999. Thus, the largest perfect square of 5 digits is 9999820001.
Now, we need to check which of the given options lies between 10000 and 9999820001 and is also a perfect square.
Checking the options:
a) 99825 = 315^2 - NOT a perfect square
b) 99856 = 316^2 - a perfect square
c) 90825 = 301^2 - NOT a perfect square
d) 90856 = 301.5^2 - NOT a perfect square
Therefore, the greatest perfect square of 5 digits is option 'B', which is 99856.
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Find the greatest perfect square of 5 digits.a)99825b)99856c)90825d)90...
B
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Find the greatest perfect square of 5 digits.a)99825b)99856c)90825d)90856Correct answer is option 'B'. Can you explain this answer?
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