10+ Faculty of Mathematics Interview Questions and Answers

A rational number is a number that can be expressed as a fraction, which is a ratio of two integers.

• A rational number can be written in the form of a/b, where a and b are integers and b is not zero.

• A fraction is a representation of a rational number, where the numerator and denominator are integers.

• All fractions are rational numbers, but not all rational numbers are fractions.

• Examples of rational numbers: 1/2, -3/4, 5/1

• Examples of fractions: 3/5, -2/7, 1/1

To find the area of a triangle in terms of theta, use the formula: (1/2)ab sin(theta)

• Use the formula: (1/2)ab sin(theta)

• a and b are the lengths of two sides of the triangle

• theta is the angle between those two sides

The discriminant of a quadratic equation is a value calculated from the coefficients of the equation, which determines the nature of the roots.

• The discriminant is calculated as b^2 - 4ac, where the quadratic equation is ax^2 + bx + c = 0.

• If the discriminant is positive, the equation has two distinct real roots.

• If the discriminant is zero, the equation has one real root (a repeated root).

• If the discriminant is negative, the equation has two complex roots.

• For example, in the eq...read more

A quadratic equation is a second-degree polynomial equation that can be written in the form ax^2 + bx + c = 0.

• Quadratic equations have the form ax^2 + bx + c = 0, where a, b, and c are constants and a is not equal to 0.

• The solutions to a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a.

• Quadratic equations can have two real solutions, one real solution, or two complex solutions.

• Example: 2x^2 + 5x - 3 = 0 is a quadratic equation with a =...read more

0 is an even number because it can be divided by 2 without leaving a remainder.

• Even numbers are divisible by 2.

• 0 divided by 2 equals 0 with no remainder.

• Even numbers alternate with odd numbers on the number line.

Different types of relations include reflexive, symmetric, transitive, and equivalence relations.

• Reflexive relation: A relation where every element is related to itself.

• Symmetric relation: A relation where if a is related to b, then b is related to a.

• Transitive relation: A relation where if a is related to b and b is related to c, then a is related to c.

• Equivalence relation: A relation that is reflexive, symmetric, and transitive.

SAT tests general knowledge and reasoning skills, while AP tests focus on specific subjects and are more in-depth.

• SAT is a standardized test that assesses critical thinking and problem-solving skills.

• AP tests are subject-specific exams that measure a student's mastery of a particular subject.

• SAT is typically used for college admissions, while AP tests can earn college credit if a student scores well.

• SAT has sections on reading, writing, and math, while AP tests cover specific...read more

To find the average height of 6 students, add up all their heights and divide by 6.

• Add up the heights of all 6 students

• Divide the total by 6 to find the average height

The HCF (Highest Common Factor) is the largest positive integer that divides two or more numbers without leaving a remainder.

• The HCF is also known as the greatest common divisor (GCD).

• It is used to simplify fractions and find the smallest common denominator.

• For example, the HCF of 12 and 18 is 6, as 6 is the largest number that divides both 12 and 18 without leaving a remainder.

GMAT is for business school admissions, while GRE is for a wide range of graduate programs.

• GMAT is primarily used for admissions to business schools, focusing on quantitative and analytical skills.

• GRE is accepted by a wide range of graduate programs, including business schools, law schools, and other disciplines.

• GMAT includes a section on Integrated Reasoning, which tests data analysis and interpretation skills.

• GRE includes a section on Analytical Writing, which assesses crit...read more