Quantitative Aptitude - Arithmetic Ability Questions

Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?

The point of intersection of all the angle bisector of a triangle is ______ of the triangle.

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

A cone of height 12 cm and diameter 10 cm is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?

If O is the centroid and AD, BE and CF are the three medians of Δ ABC with an area of 96 cm2 then the area of Δ BOD in cm2 is

If the number x4441 is divisible by 11, what is the face value of x?

ΔDEF is right angled at E. If cosecD = 5/4, then what is the value of cosecF?

What is the value of ( 1/3 - cosec30°) ?