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Question

If 2a3b=1 and ab=12

then

8a327b3=


A

216

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B

217

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C

216

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D

217

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Solution

The correct option is D

217


(2a3b)3=(8a327b3)18ab(2a3b)

(1)3=(8a327b3)(18)(12)(1)

1=(8a327b3)+216

(8a327b3)=2161=217


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