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Question

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 deermined
E .  None of these
Answer: Option B

Let the integer be  `x`

Then `x^2 - 20x`  = 96  `hArr`  `x^2 - 20x` - 96 = 0  `hArr` `(x  + 4) (x - 24)`  =  0  `hArr`    `x` = 24




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