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 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?
A
$${{1} \over {4}}$$
B
$${{1} \over {6}}$$
C
$${{5} \over {12}}$$
D
$${{5} \over {18}}$$
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?
A
$${1 \over 2}$$
B
$${1 \over 3}$$
C
$${1 \over 4}$$
D
$${1 \over 6}$$
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If A, B and C are three events, then what is the probability that at least two of these events occur together?
A
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A)
B
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ P(A $$\cap$$ B $$\cap$$ C)
C
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ 2P(A $$\cap$$ B $$\cap$$ C)
D
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ 3P(A $$\cap$$ B $$\cap$$ C)
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Two independent events A and B are such that P(A $$\cup$$ B) = $${2 \over 3}$$ and P(A $$\cap$$ B) = $${1 \over 6}$$. If P(B) < P(A), then what is P(B) equal to ?
A
$${1 \over 4}$$
B
$${1 \over 3}$$
C
$${1 \over 2}$$
D
$${1 \over 6}$$