A number is divided into 3 parts A, B and C in the ratio of 3:2:1. If half of the number is 54, then find the square of the smallest number?

If  then find the value of

If the circumcenter of the triangle lies outside it, then the triangle is 

Direction: The bar graph shows revenues in rupees lakhs from selling four different products (A, B, C and D) by a certain company. Study the diagram and answer the following questions.

Revenues from which product were the least in both the years 2015 and 2016?

The following chart depicts the percentage of Educated  and Uneducated men and women in a city with a population of 2,50,000.

How many of these women are Uneducated?

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

A man spends of his income. If his income increases by 14 % and the expenditure increases by 20%, then the percentage increase in his savings will be

The graphs of the equations 3x + y-5=0 and 2x- y -5=0 intersect at the point P(α,β).  What is the value of (3α + β)?