Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
What is the probability of getting a composite number in the list of natural numbers from 1 to 50?
A
$​\frac{7}{10}$
B
$\frac{17}{25}$
C
$\frac{18}{25}$
D
$\frac{33}{50}$
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If n > 7, then what is the probability that C(n, 7) is a multiple of 7?
A
0
B
$\frac{1}{7}$
C
$\frac{1}{2}$
D
1
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Two numbers x and y are chosen at random from a set of the first 10 natural numbers. What is the probability that (x + y) is divisible by 4 ?
A
$\frac{1}{5}$
B
$\frac{2}{9}$
C
$\frac{8}{45}$
D
$\frac{7}{45}$
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
A number x is chosen at random from first n natural numbers. What is the probability that the number chosen satisfies x + $\frac{1}{\text{x}}$ > 2 ?
A
$\frac{1}{\text{n}}$
B
$\frac{1}{(2\text{n})}$
C
$\frac{(\text{n}−1)}{\text{n}}$
D
1