Quantitative Aptitude - Arithmetic Ability Questions

Of the 3 numbers whose average is 64, the first number is 1/3 times the sum of other 2. The first number is

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

The diagonals are congruent in a _____.

In triangle ABC, O is the orthocenter and angle BOC is 120 deg. Calculate angle BAC.

ΔPQR is right angled at Q. If m∠R = 60o, then find the value of (secP - 1/√3) 

What is the length of diagonal, if area of a rectangle is 168 sq.cm and breadth is 7 cm?

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 a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If the amount received at the end of 2nd and 3rd year as Compound Interest on a certain Principal is Rs 2100, and Rs 2268 respectively, what is the rate (in %) of interest?