Question

A number is 64 times the square of its reciprocal the number is

A)10 B)4 C)2 D)16

Answer 1

Let the number be. x

x = 64( 1/x) ^2

x = 64/ ( x^2)

x ^3 = 64

therefore, x = 4

Answer 2

A number is 64 times the square of its reciprocal. The number is- B) 4

B) 4- Correct option

Given: The required number is 64 times the square of its reciprocal

To find: The given number

Solution:

Let us assume the given number is x.

The reciprocal of x= 1/x

The square of the reciprocal= 1/x²

Now, according to the question,

$x= 64(\frac{1}{x^{2} } )\\or, x^{3} = 64\\or, x= \sqrt[3]{64} \\or, x= 4$

Therefore, the required number is 4.

A) 10- Incorrect option

C) 2- Incorrect option

D) 16- Incorrect option

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