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Q.

If the square roots of the square numbers ending with 4 and 9 are added, then what will be the units digit of the resulting number?

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

If a number ends with 2 or 8, then its square ends with 4.
So, the units digit of the square root of a square number ending with 4 is 2 or 8.
If a number ends with 3 or 7, then its square ends with 9.
So, the units digit of the square root of a square number ending with 9 is 3 or 7.
On adding the square roots of these square numbers, the following units digits can be obtained:
2 + 3 = 5
2 + 7 = 9
8 + 3 = 11
8 + 7 = 15
Among the given options, 1 could be the units digit of the resulting number.

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If the square roots of the square numbers ending with 4 and 9 are added, then what will be the units digit of the resulting number?