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What is the highest power of 3 in X!?

1) The highest power of 9 in X! Is 6
2) The highest power of 11 in X! is 1



Isn't the answer of this question should be E?
Official answer given is A

Can someone please help with this problem?

Highest power of 3 in X! =?

Statement 1:
The highest power of 9 in X! Is 6
=> The highest power of 3 in X! Is 2 * 6 = 12
Statement 1 is Sufficient.

Statement 2:
The highest power of 11 in X! Is 1
This is clearly not Sufficient as there is no relation between power of 3 and 11.

So, correct answer is option A.

You are missing one case.What if "3" is present odd no. of times in number.For e.g.3^7.So, we can't conclude about that sure shot from 1st statement.So,Answer cannot be "A"

Rectified my error. Thank you.

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