The Number System is one of the most fundamental topics in Quantitative Aptitude and serves as the foundation for many advanced mathematical concepts. Questions from the Number System chapter are regularly asked in SSC CGL, SSC CHSL, SSC CPO, SSC MTS, Railway, Banking, Defence, and various State Government examinations. A strong understanding of Number System concepts can significantly improve calculation speed and problem-solving ability in competitive exams.
In this SSC CGL Number System MCQ set, candidates can practice important questions based on divisibility rules, factors, multiples, prime numbers, composite numbers, HCF, LCM, remainders, unit digits, perfect squares, and perfect cubes. Regular practice of these questions will help strengthen conceptual understanding and improve exam performance.
Natural numbers are counting numbers that start from 1 and continue indefinitely.
Examples: 1, 2, 3, 4, 5, ...
Whole numbers include all natural numbers along with zero.
Examples: 0, 1, 2, 3, 4, 5, ...
Integers include positive numbers, negative numbers, and zero.
Examples: -3, -2, -1, 0, 1, 2, 3
A prime number is a number greater than 1 that has exactly two factors: 1 and itself.
Examples: 2, 3, 5, 7, 11, 13
A composite number has more than two factors.
Examples: 4, 6, 8, 9, 10, 12
Factors are numbers that divide a given number exactly without leaving a remainder.
Example: Factors of 12 are 1, 2, 3, 4, 6, and 12.
Multiples are obtained by multiplying a number by natural numbers.
Example: Multiples of 5 are 5, 10, 15, 20, 25, ...
The HCF of two or more numbers is the greatest number that divides each of them exactly.
Example: HCF of 12 and 18 is 6.
The LCM of two or more numbers is the smallest number that is divisible by all of them.
Example: LCM of 12 and 18 is 36.
Divisibility rules help determine whether a number is divisible by another number without performing actual division.
Divisible by 2: Last digit is even.
Divisible by 3: Sum of digits is divisible by 3.
Divisible by 5: Last digit is 0 or 5.
Divisible by 9: Sum of digits is divisible by 9.
Divisible by 11: Difference between the sums of alternate digits is divisible by 11.
The value left after division is called the remainder.
Example: When 17 is divided by 5, the quotient is 3 and the remainder is 2.
The digit at the one's place of a number is known as the unit digit.
Example: The unit digit of 487 is 7.
A number obtained by multiplying an integer by itself is called a perfect square.
Examples: 1, 4, 9, 16, 25, 36, 49
A number obtained by multiplying an integer three times by itself is called a perfect cube.
Examples: 1, 8, 27, 64, 125, 216
Frequently asked in SSC CGL Tier 1 examinations.
Forms the base of Arithmetic and Advanced Mathematics.
Helps improve calculation speed and accuracy.
Useful in topics such as Simplification, Algebra, Ratio & Proportion, and Data Interpretation.
Important for SSC, Railway, Banking, Defence, and State-level competitive exams.
Practice the following Number System MCQs carefully and review the explanations to strengthen your concepts and improve your score in competitive examinations.
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