Numerical Aptitude Tests and Number Types

These tests may be administered separately or questions may be included in any other apptitude test. Numerical aptitude tests assess your ability to identify and apply correct numeric operators to problems to find out the correct solutions. Here you shall read about different values and types of the numbers which are generally utilized by the testing industry to set a typical math aptitude test.

Scope of Numerical Aptitude Tests

Values of Numbers in Numerical Aptitude Tests

While taking numerical aptitude tests, you should always keep in mind that all the numbers are written by using digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Moreover, a number greater than zero is called a positive number and a number less than zero called a negative number.

The numerical aptitude tests use numbers, number sense and number relationship in a problem solving situation to measure your mathematics reasoning. There are three values of number:

1- Local Value

A local value of a number is the face value of that number. For example the local value of 4 in 3248 is 4.

2- Place Value

A place value of a number is the value of the place it occupies times its local value. For example the place of 4 in 3248 is forty.

3- Absolute Value

The absolute value of a number is the number that remains after neglecting the sign of the given number. Absolute value of a number x is denoted by |x|. So,

|x|=x if x is positive |x|=-x if x is negative

For example

|35| = 35 and |-35| = +35

Number Types in Numerical Aptitude Tests

1- Even Numbers

All numbers which can be divided by 2 are called even numbers.

For example 2, 4, 6, 8… are even numbers.

2- Odd Numbers

All numbers which can’t be divided by 2 are called odd numbers, e.g. 1, 3, 5, 7, 9, … are called odd numbers.

3- Natural Numbers

The natural flow of numbers starting from 1 are called natural numbers e.g. 1, 2, 3, 4 and so on.

4- Rational Numbers

Any number in the form of p/q, where p and q are integers and q ≠ 0 and p & q are in lowest terms, is called a rational number. The set of all rational numbers is denoted by Q.

Q = {x:x = p/q; p, q € 1, q ≠ 0}

Every integer becomes a rational when we write it in the form of p/q. For example 3 =3/1, -8=-8/1

5- Irrational Numbers

A number which can not be expressed in the form of p/q is called an irrational number. Numbers √2, √3, √5, √7, √11 etc are examples of the irrational numbers.

6- Real Numbers

When rational and irrational numbers are combined together, the numbers in the series are called real numbers.

7- Complex Numbers

When you do square root of negative numbers, the resulting numbers are not real numbers. Such number are called imaginary numbers. You can devote √-1 by ‘I’ then:

√-5 = √-10 √5 = i√5

√-64 = √-1 √64 = 8i

Hence, i= -1, i=-i, i=1, i=i etc

A number of the form a + ib where i = √-1 and a and b are real numbers, is called a complex number. The ‘a’ is known as its real part and ‘ib’ as its imaginary part. Thus, 2-3i is a complex number where real part is 2 and imaginary part is -3i.

The whole numbers are all numbers in series starting from 0 as 0, 1, 2, 3, 4, 5,… and so on.

9- Prime Numbers

The natural numbers which can be divided by either 1 or themselves only, are called prime number. For example the numbers 2, 3, 5, 7, 11, 12, 17, 19, 23, … and so on are called prime numbers.

10- Composite Numbers

The numbers which are not prime and are divisible by at least one smaller natural number other than 1 are called composite numbers. For examples the composite numbers include 4, 6, 8, 9, 10, 12,… and so on.

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