Number System Questions for CLAT

Are you appearing or preparing for the highly competitive law entrance exam: CLAT? There are five sections included in the CLAT Exam, out of which Mathematics is one of the most important subjects. 

Though it has the least weightage in the exam if prepared well you can get complete marks. There are various topics included in CLAT Maths, however, this post shall take you through sample questions from Number System. 

The number system is the easiest topic among others as it includes basic operations and problems. With the help of these basics, you can solve a higher level of application-based problems. 

Go through the complete post for topic-wise important questions, previous year CLAT Maths Questions, and more. 

Basic Concepts of Number System

Number system comprises of 10 digits (0, 1, 2,3,4,5,6,7,8,9 ).  When these digits are grouped together it becomes a number. When the value of the digits varies according to their placements it is termed as Place Value, however, when the value of digit remains the same irrespective of its place, it is termed Face Value.  

Types of Numbers:

1. Natural Numbers: Positive numbers (1,2,3,4,5,6……) beginning from 1 that can be counted are known as Natural Numbers. These numbers are also known as Positive Integers.
2. Whole Numbers: All the numbers that can be counted including zero ( 0,1,2,3,4….) are known as Whole Numbers.
3. Integers: All the numbers that can be counted (positive and negative) and 0 are Integers. …-3,-2,-1,0,1,2,3….

• Positive Integers: Positive numbers including zero 0,1,2,….
• Negative Integers: Negative numbers ….-4,-3,-2,-1

4. Rational Number: Number that can be expressed in the format of (a/b) where b≠0 is a rational number. This includes all integers, zero or fraction.
5. Irrational Numbers: Numbers that cannot be expressed in proper (a/b) format are irrational numbers. For eg: π = 1415926535897932384626433832795028… And this value of pi never terminates and we use 3.14 or 22/7 (where 22/7 is an irrational number). That’s why irrational numbers are also known for their recurring property.
6. Even Numbers: Integers (+ve & -ve) that can be divided by 2 are even numbers
7. Odd Numbers: Integers that cannot be divided by 2 are odd numbers
8. Prime Numbers: Positive Integers that have only two factors 1 and itself are Prime numbers. It is advisable to know all 25 prime numbers below 100 i.e., 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 & 97.
9. Composite Number: All the numbers that are not prime are Composite Numbers.
10. Co- Prime Numbers: Two numbers that have HCF as 1 i.e, no other common factor exists between them are called Co- Prime Numbers. Ex: 5 and 24
11. Real Number: All the numbers discussed above comes under the umbrella of Real numbers. These numbers can be represented in the number line. 

Sample Number Systems Questions for CLAT

Here are few important sample questions based on number system topic. Solve CLAT Mathematics Quiz to know about different types of questions. 

1. Find out the value of x for which 7396×51 is divisible by 11? 9?
2. What should be subtracted from 2016 to make it completely divisible by 19?
3. Find the unit digit of the product (463 * 756 * 414 * 679).
4. What is the total number of Prime factors in (4⁷ * 7⁵ *11¹¹)
5. What is the nearest natural number to 8488, which is completely divisible by 77?
6. Find out the smallest number to be subtracted from 13501, so that the remainder is divisible by 87.
7. Find out the smallest 5 digit number which is divisible by 31?
8. Find out the largest 5 digit number which is divisible by 91?
9. If a number is divided by 56 then the remainder is 29. Find out the remainder if the same number is divided by 8.
10. Find out how many numbers between 100 to 1000 are divisible by 6.