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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?
Options:
A .  27
B .  9
C .  12
D .  81
Answer: Option A
:
A
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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