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 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

A and B are two independent events. The probability of their simultaneous occurrence is $$\frac{1}{8}$$ and the probability that neither of them occurs is $$\frac{3}{8}$$. Then their individual probabilities are

A
$$ \frac{3}{8} \text { and } \frac{1}{8} $$
B
$$ \frac{5}{8} \text { and } \frac{1}{4} $$
C
$$ \frac{3}{4} \text { and } \frac{1}{2} $$
D
$$ \frac{1}{2} \text { and } \frac{1}{4} $$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

A determinant of the second order is made with elements 0 and 1 . What is the probability that the determinant made is non-negative?

A
$$\frac{11}{16}$$
B
$$\frac{7}{16}$$
C
$$\frac{3}{16}$$
D
$$\frac{13}{16}$$
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

A and B each have a calculator which can generate a single digit random number from the set $$\{1,2,3,4,5,6,7,8\}$$. They can generate a random number on their calculator. Given that the sum of the two numbers is 12 , then the probability that the two numbers are equal is

A
$$\frac{5}{64}$$
B
$$\frac{1}{5}$$
C
$$\frac{1}{16}$$
D
$$\frac{1}{8}$$
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The probability that a randomly chosen number from one to twelve is a divisor of twelve is

A
$$\frac{5}{12}$$
B
$$\frac{1}{3}$$
C
$$\frac{5}{6}$$
D
$$\frac{1}{2}$$
COMEDK Subjects