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
A coin is tossed five times. What is the probability that heads are observed more than three times ?
A
$${3 \over {16}}$$
B
$${5 \over {16}}$$
C
$${1 \over {2}}$$
D
$${3 \over {32}}$$
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
An unbiased coin is tossed until the first head appears or until four tosses are completed, whichever happens earlier. Which of the following statement(s) is/are correct?

1. The probability that no head is observed is $${1 \over {16}}$$.

2. The probability that the experiment ends with three tosses is $${1 \over {8}}$$.

Select the correct answer using the code given below.
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If x$$\in$$[0, 5], then what is the probability that x2 $$-$$ 3x + 2 $$\ge$$ 0 ?
A
$${4 \over 5}$$
B
$${1 \over 5}$$
C
$${2 \over 5}$$
D
$${3 \over 5}$$
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A bag contains 4 white and 2 black balls and another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, then the probability that one ball is white and one ball is black, is
A
$${5 \over {24}}$$
B
$${13 \over {24}}$$
C
$${1 \over {4}}$$
D
$${2 \over {3}}$$