Quantitative Aptitude - Arithmetic Ability Questions

∆DEF is right angled at E. If cosD = 5/13, then what is the value of tanF?

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3 ?

If 2x+29x = 4, then the value of 27x3+127x3

Simplify 0.1x0.1x0.1 + 0.3x0.3x0.30.3x0.3 - 0.3x0.1 + 0.1x0.1

If cosA = x, then x is

The average of 10 numbers is X and one of the number is 38. If 38 is replaced with 19, then what will be the new average?