1)

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

Explanation:

Let the integer be $x$.
Then, $x^{2}-20x-96=0$
$\Leftrightarrow (x+4)(x-24)=0$
$\Leftrightarrow x = 24$.