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 2021
MCQ (Single Correct Answer)
+1
-0

Five persons A, B, C, D and E are in queue of a shop. The probability that A and E are always together, is

A
$$\frac{1}{4}$$
B
$$\frac{2}{3}$$
C
$$\frac{2}{5}$$
D
$$\frac{3}{5}$$
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

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

A
$${{10} \over {13}}$$
B
$${3 \over {13}}$$
C
$${6 \over {13}}$$
D
$${7 \over {13}}$$
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is $$p,0 < p < 1$$. If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A
$$\frac{3p}{4p+3}$$
B
$$\frac{5p}{3p+2}$$
C
$$\frac{5p}{4p+1}$$
D
$$\frac{4p}{3p+1}$$
COMEDK Subjects