Correct option is B
Solution:
Step 1: Understanding Perfect Squares
A number is a perfect square if:
Its last digit must be one of 0, 1, 4, 5, 6, or 9.
If it ends in 5, it must end in 25.
If it ends in 6, it must have an even digit before it.
If it ends in 00, it must be divisible by 400.
Step 2: Checking the Last Digits
Let's analyze the last few digits of each given option.
Option (a) 93XY215
Ends in 215, which does not follow the rule for a perfect square.
Not a perfect square.
Option (b) 7XY0625
Ends in 0625, which is a common ending for a perfect square, like 25² = 625, 75² = 5625, etc.
Possible perfect square.
Option (c) 613XY45
Ends in 45, which is not a valid ending for a perfect square.
Not a perfect square.
Option (d) XY21375
Ends in 375, which is not a valid ending for a perfect square.
Not a perfect square.
Step 3: Confirming Option (b)
0625 is a valid ending for a perfect square.
Some known perfect squares that end in 0625 include:
25² = 625
75² = 5625
125² = 15625
175² = 30625
225² = 50625
275² = 75625
Since 7XY0625 follows this pattern, it can be a perfect square.
Final Answer:
(b) 7XY0625
