Algebra
Sets and Relations
MCQ (Single Correct Answer)
Quadratic Equations
MCQ (Single Correct Answer)
Sequences and Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Matrices and Determinants
MCQ (Single Correct Answer)
Mathematical Reasoning
MCQ (Single Correct Answer)
Linear Programming
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Ratios & Identities
MCQ (Single Correct Answer)
Trigonometric Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Functions
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Coordinate Geometry
Straight Lines and Pair of Straight Lines
MCQ (Single Correct Answer)
Calculus
Limits, 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
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Three vertices are chosen randomly from the nine vertices of a regular 9-sided polygon. The probability that they form the vertices of an isosceles triangle, is

A
$$\frac{4}{7}$$
B
$$\frac{3}{7}$$
C
$$\frac{2}{7}$$
D
$$\frac{5}{7}$$
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A, B$$ and $$C$$ are mutually exclusive and exhaustive events of a random experiment such that $$P(B)=\frac{3}{2} P(A)$$ and $$P(C)=\frac{1}{2} P(B)$$, then $$P(A \cup C)$$ equals to

A
$$\frac{10}{13}$$
B
$$\frac{3}{13}$$
C
$$\frac{6}{13}$$
D
$$\frac{7}{13}$$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

In a trial, the probability of success is twice the probability of failure. In six trials, the probability of at most two failure will be

A
$$\frac{600}{729}$$
B
$$\frac{500}{729}$$
C
$$\frac{400}{729}$$
D
$$\frac{496}{729}$$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

A die is thrown twice and the sum of numbers appearing is observed to be 8 . What is the conditional probability that the number 5 has appeared atleast once?

A
$$ \frac{5}{36} $$
B
$$ \frac{2}{5} $$
C
$$ \frac{1}{18} $$
D
$$ \frac{1}{3} $$
COMEDK Subjects