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 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The value of the infinite product $${6^{{1 \over 2}}} \times {6^{{1 \over 2}}} \times {6^{{3 \over 8}}} \times {6^{{1 \over 4}}} \times ...$$ is
A
6
B
36
C
216
D
$$\infty$$
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the nth term of an AP is $${{3 + n} \over 4}$$, then the sum of first 105 terms is
A
270
B
735
C
1409
D
1470
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If p, q, r are in one geometric progression and a, b, c are in another geometric progression, then ap, bq, cr are in
A
AP
B
GP
C
HP
D
None of these
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the sum of n terms of the series $$\sqrt 2 + \sqrt 8 + \sqrt {18} + \sqrt {32} + ...$$?
A
$${{n(n - 1)} \over {\sqrt 2 }}$$
B
$$\sqrt 2 n(n + 1)$$
C
$${{n(n + 1)} \over {\sqrt 2 }}$$
D
$${{n(n - 1)} \over 2}$$