1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Let $A = \{1, 2, 3, 4, 5\}$ and $B = \{6, 7\}$. What is the number of onto functions from $A$ to $B$?
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
A set S contains (2n + 1) elements. There are 4096 subsets of S which contain at most n elements. What is n equal to?
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
The Cartesian product A × A has 16 elements among which are (0, 2) and (1, 3). Which of the following statements is/are correct?
1. It is possible to determine set A.
2. A × A contains the element (3, 2).
Select the correct answer using the code given below:
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Let A = {1, 2, 3, ..., 20}. Define a relation R from A to A by R = {(x, y) : 4x - 3y = 1}, where x, y ∈ A. Which of the following statements is/are correct?
1. The domain of R is {1, 4, 7, 10, 13, 16).
2. The range of R is {1, 5, 9, 13, 17).
3. The range of R is equal to codomain of R.
Select the correct answer using the code given below:
Questions Asked from Sets, Relations and Functions (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
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