MATH RHM TERMS
Mastering Math and Logic Quiz
Test your knowledge of fun
Engage with 42 challenging questions covering:
- Monotonic fun
ctions - Matrix properties
- Logical propositions
- Hypothesis testing
A function y=f(x) is called a __________function in an interval if it is such that throughout the interval a larger value of x gives a large value of y, I.e., an increase in the value of x always causes an increase in the value of
Monotonically increasing
monotonically decreasing
Monotonic function
None of the above
A function is called a __________ function, if it is such that an increase in the value of x always causes a decrease in the value of the function.
Monotonically increasing
Monotonically decreasing
Monotonic function
None of the above
A function which is either monotonically increasing or decreasing is called a _________.
Monotonically increasing
Monotonically decreasing
monotonic function
None of the above
Monotonically increasing
Monotonically decreasing
Monotonic function
None of the above
Monotonically increasing
Monotonically decreasing
Monotonic function
None of the above
Monotonically increasing
Monotonically decreasing
Monotonic function
None of the above
A function f : A → B is _______ if for each b ∈ B there is at most one a ∈ A with f (a) = b.
One-to-one
Onto
Both one-to-one and onto
None of the above
A function f : A → B is _______ if for each b ∈ B there is at least one a ∈ A with f (a) = b. A. one-to-one
One-to-one
Onto
Both one-to-one and onto
None of the above
One-to-one is also known as
Injection
Surjection
Bijection
None of the above
Onto is also known as
Injection
Surjection
Bijection
None of the above
Both One-to-one and Onto is also known as
Injection
Surjection
Bijection
None of the above
The function R→R, literally means a function of Real numbers to Real numbers given by the function f(x)=2x + 1 , this function
Injection
Surjection
Bijection
None of the above
The function Z→Z means a function from integers to integers given by the function f(x) = 2x + 1 , this function is ______.
Injection
Surjection
Bijection
None of the above
Identify the type of discontinuity if the given figure
Point or removable
Jump
Infinite
Essential
Identify whether the function is continuous and if not, state the type of discontinuity
Point or removable
Jump
Infinite
Essential
Identify whether the function is continuous and if not, state the type of discontinuity
Point or removable
Jump
Infinite
Essential
Identify whether the function is continuous and if not, state the type of discontinuity
Point or removable
Jump
Infinite
Essential
A square matrix C, If C^2= C, then the matrix is
Idempotent matrix
Periodic matrix
Nilpotent matrix
Involutory matrix
A square matrix B, If B^(k+1)=B, where k is some positive integer. Then the matrix is
Idempotent matrix
Periodic matrix
Nilpotent matrix
Involutory matrix
A square matrix A, If A^k = 0, where k is some positive integer. Then the matrix is
Idempotent matrix
Periodic matrix
Nilpotent matrix
Involutory matrix
A type of matrix where A^2=I, the matrix is
Idempotent matrix
Periodic matrix
Nilpotent matrix
Involutory matrix
If A is any statement, then which of the following is not a contradiction?
A ∨ ¬A
A ∧ F
A ∨ F
None of mentioned.
¬ (A ∨ q) ∧ (A ∧ q) is a ___________
Tautology
Contradiction
Contingency
None of the mentioned
The inverse of p → q is the proposition:
¬p → ¬q
¬q → ¬p
q → p
¬q → p
A → (A ∨ q) is a __________
Tautology
Contradiction
Contingency
None of the mentioned
P → q is logically equivalent to
¬p ∨ ¬q
P ∨ ¬q
¬p ∨ q
¬p ∧ q
¬ (p ↔ q) is logically equivalent to:
q↔p
p↔¬q
¬p↔¬q
¬q↔¬p
(p → q) ∧ (p → r) is logically equivalent to:
p → (q ∧ r)
p → (q ∨ r)
P ∧ (q ∨ r)
P ∨ (q ∧ r)
In hypothesis testing, H_1 represents the claim we want to establish, this is known to be
alternative hypothesis
null hypothesis
Type I error
Type II error
In hypothesis testing, H_0 represents the negation of the claim
Alternative hypothesis
null hypothesis
Type I error
Type II error
Rejection of H_0 when H_0 is true.
Alternative hypothesis
null hypothesis
Type I error
Type II error
Nonrejection of H_0 when H_1 is true.
Alternative hypothesis
null hypothesis
Type I error
Type II error
The _______is the probability of obtaining a value for the test statistic that is as extreme as or more extreme than the value actually observed. Probability is calculated under the null hypothesis.
P-value
Q-value
R-value
S-value
The formula is used to solve for
Sample correlation coefficient
Sample correlation radius
Sample correlation convergence
Sample correlation ratio
The alternative formula for correlation coefficient r is.
0%
0
0%
0
0%
0
0%
0
_______is an important preliminary step preceding any statistical analysis of the two variables. The existence of any increasing, or decreasing, relationship becomes readily apparent
scatter plot
Scatter dot
Scatter graph
None of the above
One of the key concepts in creating a designed experiment, when randomizing a factor is impossible or too costly, it lets you restrict randomization by carrying out all of the trials with one setting of the factor and then all the trials with the other setting.
Blocking
Randomization
Replication
None of the above
One of the key concepts in creating a designed experiment, which refers to the order in which the trials of an experiment are performed. A randomized sequence helps eliminate effects of unknown or uncontrolled variables
Blocking
Randomization
Replication
None of the above
One of the key concepts in creating a designed experiment, which refers to repetition of a complete experimental treatment, including the setup.
Blocking
Randomization
Replication
None of the above
Identify the type of discontinuity if the given figure
Point or removable
Jump
Infinite
Essential
Identify the type of discontinuity if the given figure
Point or removable
Jump
Infinite
Essential
Identify the type of discontinuity if the given figure
Point or removable
Jump
Infinite
Essential
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