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Find:(2^(30)+2^(29)+2^(28))/(2^(31)+2^(3...

Find:`(2^(30)+2^(29)+2^(28))/(2^(31)+2^(30)-2^(29))`

A

`10/7`

B

`7/15`

C

`7/10`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
C

We have.
`(2^(30) +2^(29) +2^(28))/(2^(31)+2^(30) - 2^(29)) = (2^(28)(2^(2)+2+1))/(2^(29)(2^(2) + 2-1)) = (2^(28)(4+2+1))/(2^(29) (4+ 2-1))`
` = (7)/(5)xx(1)/(2^((29-28))) = (7)/(5xx2) = (7)/(10)`
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