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Question

Aman has 729 coins. He gives only a part of these coins to his cousin as his birthday gift. This part is the square root of 729. How many coins did his cousin get?


A

27

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B

9

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C

12

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D

81

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Solution

The correct option is A

27


The square root of 729 should have 3 or 7 in its unit place. Because square of 3 and 7 has 9 in it's units place. Only 27 satisfies this.
Thus, Aman's cousin gets 27 coins as a birthday gift.

Also, we can find the square root using prime factorization as

729=3×3×3×3×3×3

729=36

Square root of 729 is equal to

729=36=33=27


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