Quantitative Aptitude - Arithmetic Ability Questions

A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 sec., the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is

Select the missing number.

If 5 -­ x > 1 + 3x and 5 + 5x ≥ 2 + 2x; then x can take which of the following values?

What are the co­ordinates of the mid point of the segment joining points C(5,­-2) and D(­-1,8).

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by aLogic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

In ΔABC measure of angle B is 90°. If cosecA = 13/12, and AB = 10cm, then what is the length (in cm) of side AC?

If the volumes of two right circular cones are in the ratio 1:4 and their diameters of bases in the ratio 4:5, then their heights will be in the ratio: