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Question : If 5416*6 is a perfect square then the digit at * is:

Option 1: 9

Option 2: 4

Option 3: 6

Option 4: 5


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 9


Solution : A perfect square ending with '6' can only have an odd digit at its ten's place, i.e., the second last digit.
Thus second and last options are eliminated.
Now,
$\sqrt{541656}< 736$
$\sqrt{541696}=736$
Hence, the correct answer is 9.

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