Find the greatest number of two digits which is a perfect square.

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answer is A.

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Detailed Solution

Concept- We will first determine the largest two-digit number and then check to see if it is a perfect square since we need to find the largest number of two digits that is a perfect square. In the event that it does not, we will use the division technique to discover the remainder. Since adding the remainder to the 2-digit largest number yields a 3-digit number, we must first remove the remainder from the 2-digit number in order to find the biggest number, which is a perfect square.
Since we are aware that

is the largest digit among all digits, we shall create a 2-digit number.
Thus, the biggest two-digit number is

.
Since

is not a perfect square right now, we will apply the division procedure to determine the remainder.
So, according to the division algorithm, divisor =dividend+remainder
The result is

So, we calculated the remaining as

. In order to obtain the ideal subtract, we must either add

or subtract it from

.
The result will be a three-digit number if we add

and create a perfect square.
Therefore, we will take

out of the total.
Thus, we obtain

Hence, the correct answer is option 1.

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