UNICAL Mathematics 2010/2011 Past Questions

Factorize $$3a^2 - 11a + 6$$

The number of telephone call between two cities A and B varies directly as the population [insert mathematics] in A and B respectively and inversely as the square of the distance D between A and B. Which of the following equations represents this relation?

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 6, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively

Add the same number to the numerator and denominator of ³/₁₈ If the resulting fraction is ¹/₂ then the number added is

$$x^5 - 3x^4 - 12 = 0$$

Simplify $$\frac{a-b}{a+b} - \frac{a+b}{a-b}$$

If opposite sides of a quadruplet are equal then it is a

The sum of even numbers from 12 to 18 is

The sum of powers of 3 starting from power 2 is 117. Then the number of added powers is

What is the relationship between 2ab and a + b where a, b are numbers