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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

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B

4

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C

5

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D

0

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Solution

The correct option is B

4


Step 1: Explanation of the correct option

Given 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 option

Options (A), (C), and (D) do not give the correct answer.


Mathematics
Standard VIII

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