Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?

If x3+ 2x2– 5x + k is divisible by x + 1, then what is the value of k?

Sita told her friend Gita " I am leaving today and will reach Mumbai tomorrow for my exams starting the day after tomorrow, which is Friday". What day is tomorrow in this conversation?

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

If cosec2 θ = 625/576, then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A's salary is 50% more than that of B. Then B's salary is less than that of A by

The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm what is the length of the side of the equilateral triangle?