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Question
The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?
Options:
A .  8
B .  27
C .  32
D .  None of these
Answer: Option A


Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.


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