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Official Paper 22: Held on 12th Nov 2020 Shift 2

Option 1 : 24

Let the positive integer be 'x'

Then, 20 times integer = 20x

Square of integer = x^{2}

Twenty times a positive integer is less than its square by 96

x^{2} = 20x + 96

⇒ x^{2} - 20x - 96 = 0

⇒ x^{2 }- 24x + 4x - 96 = 0

⇒ x ( x -24) + 4( x - 24) = 0

⇒ (x + 4) × (x -24) = 0

⇒ x = -4, x = 24

**∴ The positive integer is 24**