If a and b are the roots of the equation Px2 – Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

If the difference between the roots of the equation Ax2 – Bx + C = 0 is 4, then which of the following is TRUE?

If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?

Which of the following statement(s) is/are TRUE?

I. √5 + √5 > √7 + √3
II. √6 + √7 > √8 + √5
III. √3 + √9 > √6 + √6

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

If x + y = 10 and xy = 4, then what is the value of x4 + y4?

If A = 232, B = 231+ 230+ 229+ ... + 20and C = 315+ 314+ 313+ ... + 30, then which of the following option is TRUE?