Who won the Booker Prize for 2023 establishing himself as a prominent figure in contemporary literature?

A and B are the roots of equation x² - 13x + k = 0. If A - B = 5, what is the value of k?

I. 4 x ² - 4 x + 1 = 0

II. 4 y ² + 4 y + 1 = 0

I. x² – 13x + 36 = 0

II. 3y² – 29y + 18 = 0

I. 27x² + 120x + 77 = 0

II. 56y² + 117y + 36 = 0

I. 18p²- 21p + 6 = 0      

II. 16q² - 24q +9 = 0

I. 64x² - 64x + 15  = 0     

II. 21y² - 13y + 2  =0

Quantity I: The price of rice is decreased by 30%, by how much % the consumption is increase so that the expenditure will decreased by 10%?

I. 4x² + 9x - 9 = 0

II. 4y² - 19y + 12 = 0

I. 6x² - 23x + 7 = 0

II. 6y² - 29y + 9 = 0

I. 35x² + 83x + 36 = 0

II. 42y² + 53y + 15 = 0