Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of cosec6A – cot6A – 3 cosec2A cot2A?

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

What is the slope of the line, perpendicular to the line 3x - 6y = 4?

The third proportional of two numbers 4 and 28 is _______.

The marked price of a shirt is twice of the cost price. To earn a gain of 25%, what should be the discount percentage?

Find the common factor of 3757+ 4357 and 3737+ 4337

If the numbers  93, 204, 256 are arranged in ascending order, then the right arrangement is 

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?