Quantitative Aptitude - Arithmetic Ability Questions

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

If 5 - 2x ≥ 4 - x and 3(2 - x) > 2 - 4x; then x can take which of the following values?

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

 What is the value of (cosec45 + √3/2) ?

Find the value of 491321973

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?

In what ratio does the point T(x, 0) divide the segment joining the points S(5, 1) and U(-1, -2)?