1. Find the largest 5-digit number which is a perfect square.
2. Find a number whose one-fourth multiplied by its one-sixth becomes 486.
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Answer: 1) 99856
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.
ANS 2) 108
Let the number be X
:.ATQ-
1/4X×1/6X=486
1/24X^2=486
X^2=486×24=11664
X=√11664=108
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