If x is the square of the number when [Image] is divided by [Image] , then the value of 81x is:

If x is the square of the number when [Image] is divided…

If x is the square of the number when is divided by , then the value of 81x is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 36.

Understanding/Application

"of" operation means multiplication.

11(1/4) = 45/4

{( $2\over5$ of 6 $1\over4$ ÷ $3\over7$ ) of 1 $2 \over7$ }/(45/4)

First change all fraction in proper fraction.

({2/5) of (25/4) ÷(3/7) of (9/7)} / (45/4)

{ (5/2) ÷ (3/7) x (9/7)} / (45/4)

= {(35/6) x (9/7)} x (4/45) = (15/2) x (4/45) = 2/3

Value of x is square of above number = (2/3)² = 4/9

Now value of 81x = (81)(4/9) = 36