Explore topic-wise MCQs in Mathematics.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

A set can be a collection but a collection cannot be a set.

A. True
B. False
Answer» B. False
Discussion
2.

Which one of the following is the correct representation of set A = {2,4,8,16 .} in set builder form?

A. {x: x = 2n where n N}
B. {x: x = 2<sup>n</sup> where n N}
C. {x: x = 4n where n N}
D. {x: x = 2n+4 where n N}
Answer» C. {x: x = 4n where n N}
Discussion
3.

What is the set of all x for which 1/(x 1)(3 x) 1?

A. (- , 1) (3, )
B. (- , 1) (3, ) {2}
C. (- , 1) {2}
D. (3, ) {2}
Answer» C. (- , 1) {2}
Discussion
4.

What is the interval of f(x) = (x 1)(x 2)(x 3)/(x3 + 6x2 + 11x+ 6) where f(x) is negative?

A. (- , -3) (3, )
B. (3, -2) (1, 1) (2, 3)
C. (- , -3) (2, -1) (1, 2) (3, )
D. (- , )
Answer» C. (- , -3) (2, -1) (1, 2) (3, )
Discussion
5.

What is the interval of f(x) = (x 1)(x 2)(x 3)/(x3 + 6x2 + 11x + 6) where f(x) is positive?

A. (- , -3) (3, )
B. (3, -2) (1, 1) (2, 3)
C. (- , -3) (2, -1) (1, 2) (3, )
D. (- , )
Answer» D. (- , )
Discussion
6.

How to solve for x, if |x-1| 3?

A. (- , -2) (4, )
B. (- , -2] [4, )
C. (0, -2] (4, 0)
D. (- , ) {-2, 4}
Answer» C. (0, -2] (4, 0)
Discussion
7.

How to define Wavy Curve Method f(x)?

A. (x-a<sub>1</sub>)<sup>n1</sup> / (x-a<sub>2</sub>)<sup>n2</sup> / (x-a<sub>3</sub>)<sup>n3</sup> / (x-a<sub>k</sub>)<sup>nk</sup> * (x-b<sub>1</sub>)<sup>m1</sup> / (x-b<sub>2</sub>)<sup>m2</sup> / (x-b<sub>3</sub>)<sup>m3</sup> .. /(x-b<sub>p</sub>)<sup>mp</sup>
B. (x-a<sub>1</sub>)<sup>n1</sup> + (x-a<sub>2</sub>)<sup>n2</sup> +(x-a<sub>3</sub>)<sup>n3</sup> + (x-a<sub>k</sub>)<sup>nk</sup> / (x-b<sub>1</sub>)<sup>m1</sup> + (x-b<sub>2</sub>)<sup>m2</sup> + (x-b<sub>3</sub>)<sup>m3</sup> .. + (x-b<sub>p</sub>)<sup>mp</sup>
C. (x-a<sub>1</sub>)<sup>n1</sup> (x-a<sub>2</sub>)<sup>n2</sup> (x-a<sub>3</sub>)<sup>n3</sup> (x-a<sub>k</sub>)<sup>nk</sup> / (x-b<sub>1</sub>)<sup>m1</sup> (x-b<sub>2</sub>)<sup>m2</sup> (x-b<sub>3</sub>)<sup>m3</sup> .. (x-b<sub>p</sub>)<sup>mp</sup>
D. (x-a<sub>1</sub>)<sup>n1</sup> (x-a<sub>2</sub>)<sup>n2</sup> (x-a<sub>3</sub>)<sup>n3</sup> (x-a<sub>k</sub>)<sup>nk</sup> / (x-b<sub>1</sub>)<sup>m1</sup> (x-b<sub>2</sub>)<sup>m2</sup> (x-b<sub>3</sub>)<sup>m3</sup> ..- (x-b<sub>p</sub>)<sup>mp</sup>
Answer» D. (x-a<sub>1</sub>)<sup>n1</sup> (x-a<sub>2</sub>)<sup>n2</sup> (x-a<sub>3</sub>)<sup>n3</sup> (x-a<sub>k</sub>)<sup>nk</sup> / (x-b<sub>1</sub>)<sup>m1</sup> (x-b<sub>2</sub>)<sup>m2</sup> (x-b<sub>3</sub>)<sup>m3</sup> ..- (x-b<sub>p</sub>)<sup>mp</sup>
Discussion
8.

What will be the set of the interval (a, b]?

A. {x: a &lt; x &lt; b}
B. {x: a x b}
C. {x: a &lt; x b}
D. {x: a x &lt; b}
Answer» D. {x: a x &lt; b}
Discussion
9.

How will you define the difference of two sets B-A?

A. {x: x A and x B}
B. {x: x A and x B}
C. {x: x A and x B}
D. {x: x A and x B}
Answer» C. {x: x A and x B}
Discussion
10.

How will you define Union of two sets A and B?

A. {x: x A or x B}
B. {x: x A or x B (or both)}
C. {x: x A and B}
D. {x: x A B}
Answer» C. {x: x A and B}
Discussion
11.

How will you define a set of all real numbers?

A. {x: -1 &lt; x &lt; 1}
B. [x: - &lt; x &lt; ]
C. {x: - &lt; x &lt; }
D. {x: -Z &lt; x &lt; +Z}
Answer» D. {x: -Z &lt; x &lt; +Z}
Discussion
12.

How is a set denoted?

A. ()
B. {}
C. []
D. **
Answer» C. []
Discussion
13.

How to define a set?

A. A collection of well-defined objects or element
B. A collection of unordered objects or element
C. Any random elements
D. A collection of special characters
Answer» B. A collection of unordered objects or element
Discussion