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Question

A natural number, when added to its reciprocal gives a value which is one -- eighth of 34. Find is the product of the number and its square root?


A

8

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B

27

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C

32

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D

45

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E

28

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Solution

The correct option is A

8


Let the number be x.

Then, x+1x=348x2+1x=3488x234x+8=0 4x217x+4=0(4x1)(x4)=0x=4. [neglectingx=14,asxisanaturalno] Requirednumber=4×4=4×2=8.


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