A set contains elements. If the number of subsets of which contain at most elements is , then what is the value of ? एक समुच्चय S में ( 2n + 1) अवयव है। यदि S के उन उपसमुच्चयों की संख्या जिनमें अधिक से अधिक n अवयव हैं , 1024 है , तो n का मान क्या है ?

5 Explanation: Let the number of elements in set be . The total number of subsets of is . Understand the Property of Subsets: The number of subsets with elements is given by . We are given that the sum of the number of subsets with elements is . Using Symmetry: We know the total number of subsets is: By the symmetry property of binomial coefficients, . Therefore: Since the sum of these two equal parts is the total number of subsets: Calculate : Substitute the given value : Equating the exponents: Correct Option: (d) 5

How do I solve NDA 2026 Mathematics questions?

Practice NDA 2026 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

What is the difficulty level of NDA Mathematics questions?

NDA Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Are NDA previous year papers available for free?

Yes. Mathem Solvex provides free access to NDA previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

A set $S$ contains $(2 n + 1)$ elements. If the number of subsets of $S$ which contain at most $n$ elements is $1024$ , then what is the value of $n$ ?

एक समुच्चय S में (2n + 1) अवयव है। यदि S के उन उपसमुच्चयों की संख्या जिनमें अधिक से अधिक n अवयव हैं, 1024 है, तो n का मान क्या है ?

Choose the correct answer: