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
Two fair dice are rolled. What is the probability of getting a sum of 7 ?
A
$${1 \over {36}}$$
B
$${1 \over {6}}$$
C
$${7 \over {12}}$$
D
$${5 \over {12}}$$
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If A and B are two events such that 2P(A) = 3P(B), where 0 < P(A) < P(B) < 1, then which one of the following is correct?
A
P(A | B) < P(B | A) < P(A $$\cap$$ B)
B
P(A $$\cap$$ B) < P(B | A) < P(A | B)
C
P(B | A) < P(A | B) < P(A $$\cap$$ B)
D
P(A $$\cap$$ B) < P(A | B) < P(B | A)
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A box has ten chits numbered 0, 1, 2, 3, ......., 9. First, one chit is drawn at random and kept aside. From the remaining, a second chit is drawn at random. What is the probability that the second chit drawn is "9" ?
A
$${1 \over {10}}$$
B
$${1 \over {9}}$$
C
$${1 \over {90}}$$
D
None of these
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
One bag contains 3 white and 2 black balls, another bag contains 5 white and 3 black balls. If a bag is chosen at random and a ball is drawn from it, what is the chance that it is white?
A
$${3 \over 8}$$
B
$${49 \over 80}$$
C
$${8 \over 13}$$
D
$${1 \over 2}$$