Quantitative Aptitude - Arithmetic Ability Questions

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

If a - b = 5 and a2 + b2 = 97, ab = ?

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

If sin ­-240° = x, then the value of x is

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

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BC­XY is

An angle is smaller than its supplementary by 30°. What is the measure of the angle?

Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is