twenty times a positive integer is less than its square by 96. What is the integer ?

A. 20

B. 24

C. 30

D. Cannot be determined

E. none of these

Answer: Option B

Solution(By Examveda Team)

Let the integer be x
Them,
$$\eqalign{ & \Leftrightarrow {x^2} - 20x = 96 \cr & \Leftrightarrow {x^2} - 20x - 96 = 0 \cr & \Leftrightarrow \left( {x + 4} \right)\left( {x - 24} \right) = 0 \cr & \Leftrightarrow x = 24 \cr} $$