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Twenty times a positive integer is less than its square by 96. What is the integer ?
Options:
A .  20
B .  24
C .  30
D .  Cannot be determined
E .  none of these
Answer: Option B
Let the integer be x
Them,
$$\eqalign{
& \Leftrightarrow {x^2} - 20x = 96 \cr
& \Leftrightarrow {x^2} - 20x - 96 = 0 \cr
& \Leftrightarrow \left( {x + 4} \right)\left( {x - 24} \right) = 0 \cr
& \Leftrightarrow x = 24 \cr} $$

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