Quantitative Aptitude - Arithmetic Ability Questions

From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC. If ∠BAC = 60°, then the value of ∠BID is

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

If 2x-12x = 5, then what is the value x2 + 116x2 - 2

What is the value of Cot 60°- Sec 45°?

A bank offers 20% compound interest per half year. A customer deposits Rs 6000 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

If 7x ­- 5y = 13 and 2x -­ y = 5, then (x -­ y) is

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

What is the value of Tan 45° + 4/√3 Sec 60°?