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Quantitative Aptitude

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Twenty times ...

Question

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

A

20

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B

24

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C

30

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D

41

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E

46

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Solution

The correct option is B
24

Let the integer be x. Then,

$x^{2} - 20 x = 96 \Leftrightarrow x^{2} - 20 x - 96 = 0 \Leftrightarrow (x + 4) (x - 24) = 0 \Leftrightarrow x = 24.$

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Q. The integer that is less than every positive integer and larger than every negative integer is ____.

Q. Zero is less than every positive integer.

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n^{2} + 96

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Q. number of positive integers n for which n^2+ 96 is a perfect square

Q. Which of the following statements are true?

(i) The smallest integer is zero.

(ii) The opposite of zero is zero.

(iii) Zero is not an integer.

(iv) 0 is larger than every negative integer.

(v) The absolute value of an integer is greater than the integer.

(vi) A positive integer is greater than its opposite.

(vii) Every negative integer is less than every natural number.

(viii) 0 is the smallest positive integer.

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