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A number becomes a perfect square when we subtract 1 from it. Which of the given options cannot be the last digit of that number?
Question

# A number becomes a perfect square when we subtract $1$ from it. Which of the given options cannot be the last digit of that number?

A

$2$

B

$4$

C

$5$

D

$0$

Solution

## The correct option is B $4$Step 1: Explanation of the correct optionGiven that a number becomes a perfect square when we subtract $1$ from it.We know that the unit digit of the square numbers will have $0,1,4,5,6,9$.Thus, for all perfect squares, the unit digit will consist of only $0,1,4,5,6,9$ and none of the square numbers will end with $2,3,7,8$.According to the question, a number becomes a perfect square when we subtract $1$ from it. Therefore the number's unit's digit cannot be $3,4,8,9$.Therefore, option (B) is correct.Step 2: Explanation of the incorrect optionOptions (A), (C), and (D) do not give the correct answer.MathematicsStandard VIII

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