Quantitative Aptitude - Arithmetic Ability Questions

If 1/√(1 + cot2A) = x, then value of x is

If 3x ­- 1 < 5x + 2 and 3x + 5 < 6 -­ 4x; then x can take which of the following values?

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

What least number must be added to 4131, so that the sum is completely divisible by 19?

A regular square pyramid has side of its base 20 cm and height 45 cm is melted and recast into regular triangular pyramids of equilateral base of side 10 cm and height 10√3 cm. What are the total numbers of regular triangular pyramid?

The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder?

The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

If 5x - (1/2)(2x -7) = 5.5, then what is the value of x?