Quantitative Aptitude - Arithmetic Ability Questions

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

The length of the diagonal of a square is 10 cm. What is area of this square?

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by

What is the equation of the line passing through the point (-1,3) and having x-intercept of 4 units?

Select the odd word/letters/number/number pair from the given alternatives.

Findout the odd word/letters/number/number pair from the given alternatives.
7 : 50 : : 9 : ?

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?