Quantitative Aptitude - Arithmetic Ability Questions

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are

ΔDEF is similar to ΔGHI. Length of DE is 9 cm and length of the corresponding side GH is 16 cm. What is the ratio of areas of Δ DEF : Δ GHI?

ΔABC is similar to ΔPQR. Length of AB is 36 cm and length of the corresponding side PQ is 16 cm. If area of ΔABC is 1296 sq cm, what is the area of ΔPQR?

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?

If xy = -18 and x2+ y2= 85, then find the value of (x + y).

In these tests find the Odd figure out

Calculate the angle subtended by the chord at the point on the major arc if the radius and the chord of the circle are equal in length.