Explore topic-wise MCQs in Mathematics.

This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the relation between f(x) and ℓ when the minimum value or least value function f is defined on a set A and ℓ f(A)?

A. f(x) < ℓ x A
B. f(x) ℓ x A
C. f(x) ℓ x A
D. f(x) > ℓ x A
Answer» D. f(x) > ℓ x A
Discussion
2.

What is the relation between f(x) and ℓ when the maximum value or greatest value function f is defined on a set A and ℓ f(A)?

A. f(x) < ℓ x A
B. f(x) ℓ x A
C. f(x) = ℓ x A
D. f(x) > ℓ x A
Answer» C. f(x) = ℓ x A
Discussion
3.

What is the mathematical expression for monotonically non-increasing function?

A. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
B. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
C. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
D. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) = f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» C. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
4.

What is the mathematical expression of non-decreasing function?

A. x<sub>1</sub> &gt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b) c a
B. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
C. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) = f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
D. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» C. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) = f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
5.

What is the condition for a function f to be constant if f be continuous and differentiable on (a,b)?

A. f (x) &gt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
B. f (x) &lt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
C. f (x) = 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
D. f (x) 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» D. f (x) 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
6.

What is the condition for a function f to be strictly decreasing if f be continuous and differentiable on (a,b)?

A. f (x) &gt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
B. f (x) &lt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
C. f (x) = 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
D. f (x) 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» C. f (x) = 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
7.

What is the condition for a function f to be strictly increasing if f be continuous and differentiable on (a,b)?

A. f (x) &gt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
B. f (x) &lt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
C. f (x) 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
D. f (x) = 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» B. f (x) &lt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
8.

What is the condition for a function f to be decreasing if f be continuous and differentiable on (a,b)?

A. f (x) &gt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
B. f (x) &lt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
C. f (x) = 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
D. f (x) 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» E.
Discussion
9.

What is the condition for a function f to be increasing if f be continuous and differentiable on (a,b)?

A. f (x) &lt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
B. f (x) &gt; 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
C. f (x) = 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
D. f (x) 0 x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» E.
Discussion
10.

Monotonically increasing functions are usually referred to as decreasing functions.

A. True
B. False
Answer» C.
Discussion
11.

A monotonic function on [a,b] is either a monotonically increasing or monotonically decreasing function.

A. False
B. True
Answer» C.
Discussion
12.

What is the mathematical expression for a function to be strictly decreasing on (a,b)?

A. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
B. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) &gt; f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
C. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) &lt; f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
D. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) = f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» C. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) &lt; f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
13.

What is the mathematical expression for a function to be strictly increasing on (a,b)?

A. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) &lt; f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
B. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
C. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
D. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) &lt; f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» B. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
14.

What is the mathematical expression for monotonically decreasing function?

A. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
B. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
C. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
D. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) = f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» C. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion
15.

What is a monotonically increasing function?

A. x<sub>1</sub> &gt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b) c a
B. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
C. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) = f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
D. x<sub>1</sub> = x<sub>2</sub> f(x<sub>1</sub>) f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Answer» C. x<sub>1</sub> &lt; x<sub>2</sub> f(x<sub>1</sub>) = f(x<sub>2</sub>) x<sub>1</sub>, x<sub>2</sub> (a,b)
Discussion