NDA · Mathematics · UPSC · 2025

Binomial Theorem — NDA Mathematics PYQs

3 questions from this chapter, asked in 1 NDA exams between 2025.

3questions

1NDA exams

2025years covered

Questions asked per year

20253 Qs

Practice questions first 3 of 3 — free

Q1MCQ2025

Answer Logic

What is the number of rational terms in the expansion of $(3^{1/2} + 5^{1/4})^{12}$ ?

(A)

2

(B)

3

(C)

4

(D)

6

Q2MCQ2025

Answer Logic

If the sum of binomial coefficients in the expansion of $(x + y)^{n}$ is $256$ , then the greatest binomial coefficient occurs in which one of the following terms?

(A)Third

(B)Fourth

(C)Fifth

(D)Ninth

Q3MCQ2025

Answer Logic

Which one of the following is the greatest coefficient in the expansion of $(1 + x)^{100}$ ?

(A)The coefficient of

x^{100}

(B)The coefficient of

x^{99}

(C)The coefficient of

x^{51}

(D)The coefficient of

x^{50}

Why practise Binomial Theorem PYQs?

Binomial Theorem has appeared in the 1 NDA Mathematics exam we track between 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.

Binomial Theorem — NDA Mathematics PYQs

Questions asked per year

Practice questions first 3 of 3 — free

Why practise Binomial Theorem PYQs?

Other Mathematics topics

Basic Maths

Quadratic Equations

Trigonometric Functions

Properties of Triangle

Height and Distance

Sequence and Series

Permutations and Combinations

Complex Number

Basics of Coordinate Geometry

Straight Lines

Circles

Parabola and Ellipse

Hyperbola and Rectangular Hyperbola

Relation and Function

Inverse Trigonometric Functions

Matrices

Determinants

Methods of Differentiation

Limits

Continuity and Differentiability

Application of Derivatives

Indefinite Integration

Definite Integration

Area Under the Curve

Differential Equations

Vector Algebra

3-D Geometry

Probability

Statistics

Binary Numbers

Logarithm

Sets