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 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A committee of three has to be chosen from a group of 4 men and 5 women. If the selection is made at random, what is the probability that exactly two members are men?
A
$${5 \over {14}}$$
B
$${1 \over {21}}$$
C
$${3 \over {14}}$$
D
$${8 \over {21}}$$
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession without replacement, then what is the probability that all three books are defective?
A
0.009
B
0.016
C
0.026
D
0.047
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails?
A
0.16
B
0.48
C
0.58
D
0.98
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If a coin is tossed till the first head appears, then what will be the sample space?
A
{H}
B
{TH}
C
{T, HT, HHT, HHHT, ...........}
D
{H, TH, TTH, TTTH, .............}