Number System MCQs with Answers

Number System MCQs are a core component of the CSS Competitive Exam, evaluating candidates’ capacity to comprehend and implement elementary number concepts, number types, and arithmetic operations. Such questions evaluate expertise in natural numbers, integers, rational and irrational numbers, prime numbers, rules of divisibility, and conversion of numbers. Being well-versed with the number system is essential to perform well in the General Ability section of the CSS exam. Knowledge of the major concepts like HCF & LCM, decimal and binary conversion, and modular arithmetic facilitates efficient solving of Number System MCQs by candidates.
Relevance of Number System in CSS Exam
The CSS General Ability section includes Number System MCQs to evaluate a candidate’s logical reasoning, problem-solving skills, and numerical accuracy. These questions require applying basic mathematical operations, divisibility principles, and pattern recognition techniques to solve problems efficiently. Many aspirants struggle with number system problems due to complex calculations, number base conversions, and prime factorization methods. However, mastering shortcut techniques, modular arithmetic rules, and divisibility tests significantly improves accuracy. Strong command of concepts related to the number system guarantees success in algebraic equation-solving, digital logic issues, and arithmetic sequences for the CSS Competitive Exam.
Preparation for Number System MCQs
In order to perform well in Number System MCQs, the test-takers should practice problem-solving in place value, HCF & LCM, base conversions, and divisibility rules. Remembering essential formulas like LCM × HCF = Product of Two Numbers and knowing how to convert from binary to decimal assists in swift calculations. Rehearsing CSS past paper questions, practicing on Free Flashcards, and doing online quizzes boosts speed and accuracy. Recognizing actual applications of the number system in coding, encryption, and calculation in mathematics makes conceptual understanding more robust. Practice quizzes and acquiring shortcut methods ensure improved accuracy and a higher mark in the CSS Competitive Exam.
What is the base of the binary number system?
a) 2
b) 8
c) 10
d) 16
In the hexadecimal number system, what is the value of the digit ‘A’?
a) 10
b) 11
c) 12
d) 15
Convert the binary number 1010 to decimal.
a) 8
b) 10
c) 12
d) 14
What is the hexadecimal representation of the decimal number 255?
a) FF
b) FE
c) FE
d) F0
Which of the following is not a valid binary digit?
a) 0
b) 1
c) 2
d) None
What is the base of the octal number system?
a) 2
b) 8
c) 10
d) 16
Convert the decimal number 13 to binary.
a) 1100
b) 1010
c) 1110
d) 1001
In the base-5 number system, what is the highest digit?
a) 3
b) 4
c) 5
d) 6
What is the binary equivalent of the hexadecimal number 7E?
a) 1111110
b) 0111110
c) 1001110
d) 10011101
What is the decimal value of the binary number 1101?
a) 13
b) 14
c) 15
d) 16
Convert the binary number 1001 to octal.
a) 11
b) 21
c) 10
d) 12
What is the result of adding the binary numbers 1101 and 1011?
a) 11000
b) 10100
c) 10000
d) 10010
In which number system is the number 1011 equivalent to decimal 11?
a) Binary
b) Octal
c) Decimal
d) Hexadecimal
What is the base of the decimal number system?
a) 2
b) 8
c) 10
d) 16
Convert the octal number 17 to decimal.
a) 15
b) 16
c) 17
d) 18
What is the hexadecimal equivalent of the binary number 1111?
a) F
b) E
c) D
d) C
How many digits are there in the octal number system?
a) 8
b) 10
c) 16
d) 2
What is the result of the binary subtraction 1010 – 0110?
a) 0100
b) 0110
c) 1000
d) 1110
Convert the hexadecimal number 2F to binary.
a) 00101111
b) 11101111
c) 01011111
d) 10011111
What is the decimal equivalent of the octal number 52?
a) 42
b) 50
c) 52
d) 40
What is the value of the digit ‘B’ in the hexadecimal system?
a) 11
b) 12
c) 13
d) 14
Convert the decimal number 255 to binary.
a) 11111111
b) 11110000
c) 10000000
d) 11111000
What is the octal representation of the binary number 100110?
a) 26
b) 32
c) 45
d) 50
In the decimal number system, what is the equivalent of 1 in hexadecimal?
a) 1
b) A
c) 10
d) 11
Convert the hexadecimal number 3E to decimal.
a) 62
b) 64
c) 58
d) 60
Which of the following is a valid digit in hexadecimal but not in decimal?
a) A
b) B
c) 9
d) 5
What is the result of converting the binary number 10101 to decimal?
a) 21
b) 23
c) 25
d) 27
How many bits are in one byte?
a) 4
b) 8
c) 16
d) 32
Convert the octal number 25 to binary.
a) 10101
b) 100101
c) 10110
d) 11001
What is the value of the binary number 100000 in decimal?
a) 32
b) 64
c) 128
d) 16
What is the hexadecimal representation of the binary number 11100000?
a) E0
b) F0
c) C0
d) D0
Convert the decimal number 9 to binary.
a) 1001
b) 1101
c) 1010
d) 0110
What is the result of adding the octal numbers 17 and 23?
a) 42
b) 30
c) 40
d) 50
In the binary number system, what is the result of the multiplication 101 × 11?
a) 1111
b) 10001
c) 10010
d) 10111
Convert the hexadecimal number A1 to binary.
a) 10100001
b) 10100010
c) 10011001
d) 11001000
What is the binary equivalent of the decimal number 18?
a) 10010
b) 10101
c) 11010
d) 10011
Convert the binary number 111 to octal.
a) 7
b) 10
c) 14
d) 15
What is the decimal value of the hexadecimal number 1F?
a) 31
b) 32
c) 30
d) 29
What is the result of the binary addition 1110 + 0011?
a) 10001
b) 11001
c) 1111
d) 10000
Convert the decimal number 32 to octal.
a) 40
b) 32
c) 20
d) 22
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