NDA · Mathematics · UPSC · 2016–2025

Binary Numbers — NDA Mathematics PYQs

13 questions from this chapter, asked in 8 NDA exams between 2016–2025.

13questions

8NDA exams

2016–2025years covered

Questions asked per year

20252 Qs 20231 Qs 20222 Qs 20201 Qs 20191 Qs 20182 Qs 20172 Qs 20162 Qs

Practice questions

Q1MCQ2025

Answer Logic

If $x = (1111)_{2}$ , $y = (1001)_{2}$ and $z = (110)_{2}$ , then what is $x^{3} - y^{3} - z^{3} - 3 x y z$ equal to?

(A)

(1111001)_{2}

(B)

(1001111)_{2}

(C)

(1)_{2}

(D)

(0)_{2}

Q2MCQ2025

Answer Logic

What is the sum of the binary numbers $(101101101)_{2}$ and $(100011)_{2}$ ?

(A)

(110010000)_{2}

(B)

(110001000)_{2}

(C)

(110000100)_{2}

(D)

(100100000)_{2}

Q3MCQ2023

Answer Logic

What is the binary number equivalent to decimal number 1011 ?

(A)1011

(B)111011

(C)11111001

(D)111110011

Q4MCQ2022

Answer Logic

What is $(1110011)_{2} \div (10111)_{2}$ equal to?

(A)

(101)_{2}

(B)

(1001)_{2}

(C)

(111)_{2}

(D)

(1011)_{2}

Q5MCQ2022

Answer Logic

If $x^{3} + y^{3} = (100010111)_{2}$ and $x + y = (11111)_{2}$ , then what is $(x - y)^{2} + x y$ equal to?

(A)

(1101)_{2}

(B)

(1001)_{2}

(C)

(1011)_{2}

(D)

(1111)_{2}

Q6MCQ2020

Answer Logic

The number $(1101101 + 1011011)_{2}$ can be written in decimal system as

(A)

(198)_{10}

(B)

(199)_{10}

(C)

(200)_{10}

(D)

(201)_{10}

Q7MCQ2019

Answer Logic

A binary number is represented by $(c d cc dd ccc ddd)_{2}$ , where $c > d$ . What is its decimal equivalent?

(A)1848

(B)2048

(C)2842

(D)2872

Q8MCQ2018

Answer Logic

The binary number expression of the decimal number 31 is

(A)1111

(B)10111

(C)11011

(D)11111

Q9MCQ2018

Answer Logic

The sum of the binary numbers $(11011)_{2}$ , $(10110110)_{2}$ and $(10011 x 0 y)_{2}$ is the binary number $(101101101)_{2}$ . What are the values of $x$ and $y$ ?

(A)

x = 1, y = 1

(B)

x = 1, y = 0

(C)

x = 0, y = 1

(D)

x = 0, y = 0

Q10MCQ2017

Answer Logic

In the binary equation $(1 p 101)_{2} + (10 q 1)_{2} = (100 r 00)_{2}$ where $p, q$ and $r$ are binary digits, what are the possible values of $p, q$ and $r$ respectively?

(A)0, 1, 0✓ Correct

(B)1, 1, 0

(C)0, 0, 1

(D)1, 0, 1

Why practise Binary Numbers PYQs?

Binary Numbers has appeared in 8 NDA Mathematics exams we track between 2016–2025. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Binary Numbers — NDA Mathematics PYQs

Questions asked per year

Practice questions

Why practise Binary Numbers PYQs?

Other Mathematics topics

Basic Maths

Quadratic Equations

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Properties of Triangle

Height and Distance

Binomial Theorem

Sequence and Series

Permutations and Combinations

Complex Number

Basics of Coordinate Geometry

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Hyperbola and Rectangular Hyperbola

Relation and Function

Inverse Trigonometric Functions

Matrices

Determinants

Methods of Differentiation

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Continuity and Differentiability

Application of Derivatives

Indefinite Integration

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Differential Equations

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Logarithm

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