SSC CGL Number System Questions PDF, Free Download

SSC CGL Number System Questions: As we know, the number system is one of the most important topics in the SSC CGL Exam, but many candidates don’t know the right approach to finding questions and related questions of the Number System for SSC CGL exam. Since it is a vast topic, you must know how much you have to study for the SSC CGL exam. For that, you have to study smartly. The Number System for SSC CGL Exam consists of 2-3 questions at an easy to moderate level. In this blog, we have provided the basic concepts and number system questions for SSC CGL exam along with the solution with explanations. You have to just download the PDF for free on number system basics and formulas, and questions for SSC CGL exam.

Attempt Free Resources Before SSC CGL Number System Questions

Here we have provided the free topic-wise tests, a complete full-length free mock test, previous year question papers, and much more. Just solving the SSC CGL number questions is not enough to crack the SSC CGL 2025 exam. Solving the topic test is very important if you want to get in-depth knowledge of the individual topic. Below, we have provided the topic tests for each section, including quizzes for current affairs, previous year question papers, and full-length mock tests.

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Concept of Number System

Number System is a mathematical concept, it is the representation of numbers, or writing the numbers by using some set of digits or other symbols.

A number is a numerical value or mathematical value that is used for counting or measuring objects.

Type of Numbers:

• Rational Numbers (Q): A number that can be expressed as p/q is called a rational number. where p and q are integers and q ≠ 0 (Note: The denominator cannot be 0, but the numerator can be)
  • For example 1/2, 3/4, 7/2,3/5,7
• Irrational Numbers:- The numbers that cannot be expressed in the form of p/q are called irrational numbers. where p and q are integers and q ≠ 0
  • For example, √2, π, √3, √99, √11
• Natural Numbers (N):- Natural numbers are a part of the number system that includes all the positive integers from 1 to infinity.
  • They are denoted by N.
  • For example, N = {1, 2, 3, 4…..}
• Whole Numbers (W):- The whole numbers are a part of the number system that includes all the positive integers from 0 to infinity.
  • They are denoted by W.
  • For example, W = {0, 1, 2, 3, 4…..}
• Integers (Z):- Integers include all whole numbers and their negative counterpart. They are denoted by I.
  • For example, I = {…-4,-3,-2,-1, 0, 1, 2, 3, 4…..}
• Real Numbers (R): Any number, such as positive integers, negative integers, fractional numbers or decimal numbers without imaginary numbers, is called a real number. Real numbers are denoted by R.
  • For example √ 2, √ 3,8/5,6/2,-0.65, π, 8

Properties of Number System

• Divisibility Rules: Understand the divisibility rules for numbers like 2, 3, 5, 9, 11, etc.
  • Example: 1. A number is divisible by 3 if the sum of its digits is divisible by 3.
  • 2. If the last two digits of a number are divisible by 4, then the number is divisible by 4.
• LCM and HCF (Highest Common Factor) and (Least Common Multiple) respectively:
  • LCM: The least common multiple (LCM) is defined as the smallest multiple that two or more numbers have in common.
  • HCF: HCF is used to find the highest common factor of any two or more given integers
• Sequence: A sequence is an arrangement of numbers in a definite order according to some rule
• Remainder Theorem: The remainder is the value left after the division if the dividend is not completely divided by the divisor.

Number System Questions with Solutions PDF For SSC

Now it’s time to practice the questions on different types of questions on the Number System. Practicing questions is very important to boost preparation and score the highest in the exam. Here we have provided the number system questions for SSC CGL that have been asked in the previous years.

SSC CGL Number System Question 1:

1. Find the sum of squares of the greatest value and smallest value of K in the number so that the number 45082K is divisible by 3.

(a) 68
(b) 64
(c) 100
(d) 50

SSC CGL Number System Question 2:

2. Find the difference between squares of the greatest value and the smallest value of P if the number 5306P2 is divisible by 3.

(a) 60
(b) 68
(c) 36
(d) 6

SSC CGL Number System Question 3:

3. What is the value of K such that the number 72K460K is divisible by 6?

(a) 4
(b) 9
(c) 7
(d) 8

SSC CGL Number System Question 4:

4. Find the smallest value of a so that 42a48b (a > b) is divisible by 11.

(a) 4
(b) 5
(c) 0
(d) 9

SSC CGL Number System Question 5:

5. Find the greatest value of b so that 30a68b (a > b) is divisible by 11.

(a) 4
(b) 9
(c) 3
(d) 6

SSC CGL Number System Question 6:

6. Find the sum of all the possible values of (a + b) so that the number 4a067b is divisible by 11.

(a) 5
(b) 16
(c) 21
(d) 11

SSC CGL Number System Question 7:

7. If the nine-digit number 7p5964q28 is completely divisible by 88, what is the value of (p² – q) for the largest value of q, where p and q are natural numbers?

(a) 72
(b) 9
(c) 0
(d) 81

SSC CGL Number System Question 8:

8. If the 6-digit number 5x423y is divisible by 88, then what is the value of (5x – 8y)?

(a) 28
(b) 14
(c) 16
(d) 24

SSC CGL Number System Question 9:

9. If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y?

(a) 35
(b) 21
(c) 37
(d) 23

SSC CGL Number System Question 10:

10. If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y) for the maximum value of y?

(a) 19
(b) 15
(c) 23
(d) 27

Number System Test for SSC CGL

Now it’s time to practice under time constraints and required to check how much you understand the number system. This can be done by attempting the number system test. Click on the link provided below to attempt the Number System Test for SSC CGL.

SSC CGL Number System Questions for Practice

Here we have provided the SSC CGL number system questions in the form of a quiz that you can attempt for free. Below, we have provided the button in which we have provided the details solutions to the questions.

Tips to Master the SSC CGL Number System Questions

Below we have provided some tips that will help you master the number system for SSC CGL exam.

• Know the Basics: Understanding the basics must be the first step for any preparation of any topic. The basics and formulas for the number system are provided in the form of a PDF in this blog. So, download that PDF for free and start learning the basics of the number system.
• Divisibility Rules: Knowing the divisibility rules will help you in problem-solving to solve problems easily and quickly. You must be aware of the divisibility rules for at least 2, 3, 4, 5, 9, 11, etc.
• Learn Shortcuts and Tricks: Some questions can be solved by using shortcuts and tricks, which will be very helpful in saving your time and providing you the accurate answers too.
• Learn Square and Cube Table: Make sure that you have learned at least 30 squares and 20 cubes to find the answers quickly while solving the questions.
• Practice is Mandatory: At last, practice is very important; you can download the PDF provided in this blog for free as the best tool for practicing the number system questions.

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