Quantitative Aptitude - Arithmetic Ability Questions

The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is

Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

If x3 – 4x2 + 19 = 6(x – 1), then what is the value of [x2 + (1/x – 4)]?

Calculate the area (in cm2) of a circle of radius 17.5 cm.

A helicopter, at an altitude of 1500 m, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30°respectively. Distance between the two ships, in metres is

Which of the following conditions is TRUE for the two line segments AB and CD to be congruent?

What is the value of (cot30°+ 2/√3) ?

If 5x - 4 ≤ 2 - x and 4x + 5 > 2x - 5, then x can take which of the following values?