Problems based on Numbers Test 3

Question : 18 of 40

Marks: +1, -0

The sum of a whole number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

Solution:

Let the whole number be x; then

x+1/x=1/8×34

⇒{x^2+1}/x=17/4

⇒4x^2-17x+4=0

⇒ (4x - 1) (x - 4) = 0

⇒ x = 4

(whole number)
Hence, required product

= 4 ×√ 4 = 4 ×2= 8

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