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
Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If $\frac{\text{x}}{\text{y}} = \frac{55}{42}$, then what is the value of n ?
A
24
B
25
C
27
D
30
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83

If a, b, c are in GP where a > 0, b > 0, c > 0, then which of the following are correct?

1. a2, b2, c2 are in GP

2. $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ are in GP

3. $\sqrt {a}, \sqrt{b}, \sqrt{c} $ are in GP

Select the correct answer using the code given below :

A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If $\frac{a+b}{2}, b, \frac{b+c}{2}$ are in HP, then which one of the following is correct?
A
a, b, c are in AP
B
a, b, c are in GP
C
a + b, b + c, c + a are in GP
D
a + b, b + c, c + a are in AP
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If the sum of the first 9 terms of an AP is equal to sum of the first 11 terms, then what is the sum of the first 20 terms ?
A
20
B
10
C
2
D
0