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# Numbers Aptitude Question and Answer with Explanation

## Best explanation to understand and solve the numbers problems.

In this session you can practice aptitude questions based on ‘NUMBERS’. This will help you to qualify in interviews, competitive exams and several entrance exams like Bank Exams, Railway Exams, GATE, CAT, etc.

Take up the test and improve your skills and what else, have a great career.

### What is Number Aptitude?

Here is the answer for your question. It is an aptitude test to identify the capacity of an individual to know how quickly he/she can perform and solve Mathematical operations.

This test will help you to find your ability in performing arithmetic operations. A person with good numerical aptitude can perform any mathematical computations quickly.

### Topics in Number Aptitude?

In most of the exams you were asked to solve the questions based on the operations of prime numbers, rational numbers, real numbers, odd and even numbers, composite numbers, etc.

Beside these topics you will also be asked to find solutions for other main topics such as unit’s digit, digital root, divisibility rules, number of zeroes, etc.

The test we provide will be completely focusing on interview exams and entrance exams. By taking up our test, you can develop your capacity of solving problems more quickly.

### How to Prepare for Test ?

The most important question in everyone’s mind is “how to prepare for these tests? ”.

Well the answer is very simple. Before taking up any exam, the very first thing you have to do is PREPARATION.

Preparing for aptitude test needs a lot of practice and research.

Practice of different aptitude tests can help you to increase your speed in performing operations. Also do a thorough research on what will be asked in your exams and try to find answers for everything.

Through our tests, we provide you a platform to practise aptitude questions and to enhance your skills. This will help you to prepare for your exams.

PRIME NUMBER

A prime is a whole number which is greater than 1 and is divisible only by itself and by 1. These  numbers have only two factors. They cannot be divided by other numbers.

The first few prime numbers are 2, 3, 5, 7, 9, 11, 13, etc. These numbers cannot be divided by any other numbers and are only divisible by itself and 1. So these numbers are called prime numbers.

But 1 is not a prime number. This is because it does not satisfy the definition of prime number.  A prime number should have two factors (the number itself and 1) . but 1 have only one factor. So it is not considered as prime number.

COMPOSITE NUMBERS

A composite number is a positive integer and a whole that is not a prime number.

These numbers will have more than two factors and are divisible by multiple numbers. In other words, all positive numbers except the prime numbers can be considered as composite numbers.

For example 4, 6, 8, 10, 12, 14, 15, 16, 18, 20, etc.

All the above numbers have more than two factors and are divisible by more than two numbers. So they are called composite numbers.

NOTE: 1 is not a composite number either because it has only one factor.

RATIONAL NUMBERS

A rational number is a number that is an integer and that can be expressed in fraction.

In Mathematical terms, a rational number can be expressed as p/q of two integers, where p is numerator and q is non zero denominator. Rational numbers can also be expressed as ratio of p to q (p:q) .

Example : 0, 1, 2/4, 23/34, 1256/98, 2345/842 and so on.

REAL NUMBERS

A real number is any number which may be positive or negative. It includes all the integers, rational numbers, prime numbers and composite numbers. They are not any imaginary numbers.

IMAGINARY NUMBERS can be called as non real numbers. These numbers cannot be quantified. For example square root of -1 .

NOTE: Zero (0) is a real number.

ODD NUMBERS

Any number that cannot be divided equally can be called as odd numbers. In other terms, any integers that cannot be divided by 2 can be considered as odd numbers.

Examples : 1, 3, 5, 7, 9, etc.

The last digit of any number that ends with the above numbers can be called as odd number.

Examples : 23, 177, 2495, 80919. 87451,etc

Odd numbers can also be negative numbers.

NOTE: Every odd number is placed in between an even number.

EVEN NUMBERS

The numbers that can be divided by 2 are called even numbers. These numbers can be divided equally. And when these numbers are divided by 2 , they won’t leave any remainder.

Examples : 0, 2, 4, 6, 8, etc.

Any number that has the above number in once place (last digit) can be considered as even numbers.

Examples : 22, 444, 736, 9978, 54370, etc.

Addition of two or more even numbers is always an even number.

NOTE: Every odd number is followed by an even number and every even number is followed by an odd number.

INTEGER

Integers are nothing but the whole numbers. In other terms, integers are not fractional numbers. They can be both positive and negative numbers. Integers do not have decimal points.

Examples : -2, -1, 5, 6, 99, 2934, etc.

NOTE: Zero (0) is also an integer.

### Important Formulas in Number Aptitude

ARITHMETIC PROGRESSION (A.P.)

An A.P. is of the form a, a+d, a+2d, a+3d, ...

where a is called the 'first term' and d is called the 'common difference'

1. nth term of an A.P. tn = a + (n-1)d

2. Sum of the first n terms of an A.P. Sn = n/2[2a+(n-1)d] or Sn = n/2(first term + last term)

GEOMETRIC PROGRESSION (G.P.)

A  G.P. is of the form a, ar, ar2, ar3, ...

where a is called the 'first term' and r is called the 'common ratio'.

1. nth term of a G.P. tn = arn-1

2. Sum of the first n terms in a G.P. Sn = a|1-rn|/|1-r|

TESTS OF DIVISIBILITY

1. A number is divisible by 2 if it is an even number.

2. A number is divisible by 3 if the sum of the digits is divisible by 3.

3. A number is divisible by 4 if the number formed by the last two digits is divisible by 4.

4. A number is divisible by 5 if the units digit is either 5 or 0.

5. A number is divisible by 6 if the number is divisible by both 2 and 3.

6. A number is divisible by 8 if the number formed by the last three digits is divisible by 8.

7. A number is divisible by 9 if the sum of the digits is divisible by 9.

8. A number is divisible by 10 if the units digit is 0.

9. A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places, is divisible by 11.

These are some basic rules and formulas that will help you to solve the given numeric operations.

1.

A man in every week earn Rs 69.30 and in every 4th week he gave Rs 18.90 to the local social welfare authority. Calculate in the end of the year how much money does he have.

2.

If the length of the incorrect measuring scale is 1 meter then the actual measurement of the scale become 99 cm. If the actual measurement of the scale is 50 centimeter then by measuring it with the incorrect measuring scale the measurement will be ?

3.

What is the sum of 56 and 21 ?

4.

Solve these numbers given below 5454-1235=?

5.

Find the Missing number in the series as 2,4,8,16,_,64,128 ?

6.

Alice had 20 Mango She save three to Ned how many mango does she have now?

7.

Find the Missing Number in the series as 12,23,34,45,_,67,78,89,100 ?

8.

Half part of an integer is 6 more than the one-fifth part of that integer. Find the integer.

9.

What is the total number of Mango are there in 98 boxes if 1 box has 132 Mango?

10.

If there are 16 Milky bar and distributed equally 8 children. How many Milky bar are for each children?

11.

What is the prime numbers that may divided 319 so that the remainder is 4 ?

12.

The addition of 3 integers is 294 . If the ratio of first two integers is 2 : 3 and the ratio of last two integers is 5 : 8 the calculate the value of second integer.

13.

There are 2 integer X and Y , the addition of 5% of X and 4% of Y is equal to 2/3rd of the addition of 6% of X and 8% of Y. Find the value of X : Y.

14.

How many numbers have exactly 6 digits?

15.

The sum of two numbers is 25 and their differences is 5. Find the numbers.

16.

Which of following number is not a multiple of 3 ?

17.

Find the value of the given number expression

(1497) * (1497) = ?

18.

What will be the 10 th term in this number series 4, 16, 64, 256, 1024 .......... ?

19.

What will be the sum of the arithmetic progression 5,7,9,11,13,15,17,19,21,23,25,27,29,31,33?

20.

What will be the sum of geometric progression 2,8,32,128,256,512?

21.

What will be the 25 th term of the series if the first term of the series is 5 and sum of the first 20 numbers of the series is 480?

22.

In the series 700,701,702,....,1000 how many numbers are divisible by 7

23.

When n is divided by 7,the remainder is 5.What will be the remainder when 3n is divided by 7?

24.

A candidate gets 4 marks for every correct answer but loses 1 mark for every wrong mark.He attempt 30 questions and gets 85 marks.How many questions did he answer correctly?

25.

If the sum of two digit number and the number formed by reversing digits of the two digit number is 88,how many such two digit number are possible?

26.

If the addition of the digits be subtracted from a three digit number then by what digit the result will be divisible.

27.

An integer is divided into 2 segment such that 80% of the 1st segment exceeds 60% of the 2nd segment by 3 and 80% of the 2nd segment exceeds 90% of the 1st by 6. Find the integer.