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 Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If A and B are two events such that P(not A) = $\rm \frac{7}{10}$, P(not B) = $\rm \frac{3}{10}$ and P(A|B) = $\rm \frac{3}{14}$, then what is P(B|A) equal to?
A
$\rm \frac{11}{14}$
B
$\rm \frac{9}{14}$
C
$\rm \frac{1}{4}$
D
$\rm \frac{1}{2}$
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Seven white balls and three black balls are randomly placed in a row. What is the probability that no two black balls are placed adjacently?
A
$\rm \frac{7}{15}$
B
$\rm \frac{8}{15}$
C
$\rm \frac{11}{15}$
D
$\rm \frac{13}{15}$
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Let two events A and B be such that P(A) = L and P(B) = M. Which one of the following is correct?
A
$P(A|B)<\dfrac{L+M-1}{M}$
B
$P(A|B)>\dfrac{L+M-1}{M}$
C
$P(A|B)\ge\dfrac{L+M-1}{M}$
D
$P(A|B)=\dfrac{L+M-1}{M}$
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83

If $\rm P(A\cup B)=\dfrac{5}{6}, P(A\cap B)=\dfrac{1}{3}\:and\:P(\bar A)=\dfrac{1}{2}$, then which of the following is/are correct?

1. A and B are independent events.

2. A and B are mutually exclusive events.

Select the correct answer using the code given below.

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2