Quantitative Aptitude - Arithmetic Ability Questions

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

G is the centroid of the equilateral triangle ABC, if AB = 9cm then AG is equal to

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

What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?

What is the HCF of 36, 72 and 126?

sin(A+B) -­ sin(A-­B) is equal to

How many kilometers are there in one metre?

In what ratio should Darjeeling Tea costing Rs. 400 per kg be mixed with Assam Tea costing Rs. 300 per kg. So that by selling the mixture at Rs. 408 per kg, there is a gain of 20%?