Ultimate Math Exam Trivia: Quiz!

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Bscit_it
B
Bscit_it
Community Contributor
Quizzes Created: 6 | Total Attempts: 3,381
| Attempts: 123
Quiz Flashcard
SettingsSettings
Please wait...
  • 1/35 Questions

    A complex number has:

    • Real part
    • Imaginary part
    • Both
    • None of them
Please wait...
About This Quiz

Dive into the Ultimate Math Exam Trivia! This quiz tests your knowledge on complex numbers, trigonometric identities, and calculus derivatives. It's perfect for learners looking to challenge their understanding of higher-level math concepts.

Ultimate Math Exam Trivia: Quiz! - Quiz

Quiz Preview

  • 2. 

    Graphical representation of the complex numbers is called:

    • Argands diagram

    • Polar form

    • Non polar form

    • None of these

    Correct Answer
    A. Argands diagram
    Explanation
    An Argand diagram is a graphical representation of complex numbers. It consists of a coordinate plane where the real part of a complex number is represented on the x-axis and the imaginary part is represented on the y-axis. The diagram helps visualize complex numbers as points in a plane, making it easier to understand their properties and relationships. Polar form and non-polar form are not related to the graphical representation of complex numbers, so they are not the correct answers.

    Rate this question:

  • 3. 

    Sin2x is:

    • 2sinxcosx

    • Sin2xcos2x

    • Both

    • None

    Correct Answer
    A. 2sinxcosx
    Explanation
    The correct answer is 2sinxcosx because the double angle identity for sine states that sin2x = 2sinxcosx. This means that the sine of twice an angle is equal to twice the sine of the angle multiplied by the cosine of the angle.

    Rate this question:

  • 4. 

    Derivative of cos(x)

    • -sin(x)

    • Sin(x)

    • Cot(x)

    • None of these

    Correct Answer
    A. -sin(x)
    Explanation
    The derivative of a cosine function is equal to the negative sine of the same angle. Therefore, the correct answer is -sin(x).

    Rate this question:

  • 5. 

    Derivative of ln(x)

    • 1/x

    • Ln(x)

    • 1

    • Ex 

    Correct Answer
    A. 1/x
    Explanation
    The derivative of ln(x) is 1/x. This can be derived using the chain rule of differentiation. The derivative of ln(x) can be written as d/dx(ln(x)). Applying the chain rule, we can rewrite this as 1/x * d/dx(x). The derivative of x with respect to x is 1. Therefore, the derivative of ln(x) is 1/x.

    Rate this question:

  • 6. 

    A derivative of tan(x)

    • Sec2(x)

    • Cot(x)

    • Sec(x)

    • Cosec2(x)

    Correct Answer
    A. Sec2(x)
    Explanation
    The derivative of tan(x) is sec^2(x). This is because the derivative of tan(x) can be found using the quotient rule, which states that the derivative of f(x)/g(x) is (g(x)f'(x) - f(x)g'(x))/[g(x)]^2. In this case, f(x) = sin(x) and g(x) = cos(x), so the derivative of tan(x) is (cos(x)*cos(x) - sin(x)*(-sin(x)))/[cos(x)]^2 = (cos^2(x) + sin^2(x))/[cos(x)]^2 = 1/[cos^2(x)] = sec^2(x). Therefore, the correct answer is sec^2(x).

    Rate this question:

  • 7. 

    A derivative of ex is

    • 1

    • 0

    • Ex

    • None of these

    Correct Answer
    A. Ex
    Explanation
    The correct answer is "ex" because a derivative of the function "ex" (which represents the exponential function) with respect to the variable x is simply "ex" itself.

    Rate this question:

  • 8. 

    A derivative of 2x3 is 

    • 6x

    • 6x2

    • 12x

    • None of these

    Correct Answer
    A. 6x2
    Explanation
    The correct answer is 6x2. To find the derivative of 2x3, we use the power rule of differentiation. The power rule states that when differentiating a term with a variable raised to a power, we bring down the power as a coefficient and decrease the power by 1. Applying this rule to 2x3, we bring down the power of 3 as a coefficient, resulting in 6x3. Then, we decrease the power by 1, giving us 6x2. Therefore, the derivative of 2x3 is 6x2.

    Rate this question:

  • 9. 

    A derivative of cos x is

    • -sin x

    • Sin x

    • Cosx sinx

    • None of these

    Correct Answer
    A. -sin x
    Explanation
    The correct answer is "-sin x" because when we take the derivative of the cosine function, the result is the negative sine function. This can be derived using the chain rule and the derivative of the sine function. Therefore, the derivative of cos x is -sin x.

    Rate this question:

  • 10. 

    A derivative of sec x is

    • -sec x tan x

    • -cosec2x

    • -cos x

    • Cot2x

    Correct Answer
    A. -sec x tan x
    Explanation
    The correct answer is -sec x tan x. The derivative of sec x can be found using the quotient rule. Applying the quotient rule, we differentiate the numerator (which is 1) and get 0, and then differentiate the denominator (which is cos x) and get -sin x. Dividing these results and simplifying, we get -sec x tan x.

    Rate this question:

  • 11. 

    A matrix is said to be _______ if the number of rows is not equal to the number of columns of a matrix.

    • Rectangular

    • Square

    • Diagonal

    • None of these

    Correct Answer
    A. Rectangular
    Explanation
    A matrix is said to be rectangular if the number of rows is not equal to the number of columns of a matrix. In a rectangular matrix, the number of rows and columns are different, meaning that the matrix does not have an equal number of rows and columns. This is in contrast to a square matrix, where the number of rows is equal to the number of columns. A diagonal matrix refers to a matrix where all the non-diagonal elements are zero. "None of these" is not the correct answer as it does not accurately describe a matrix with unequal rows and columns.

    Rate this question:

  • 12. 

    A square matrix A is said to be ______ if |A| is equal to 0.

    • Singular matrix

    • Non-singular matrix

    • Triangular matrix

    • None of these

    Correct Answer
    A. Singular matrix
    Explanation
    A square matrix A is said to be singular if its determinant (|A|) is equal to 0. This means that the matrix does not have an inverse and its columns are linearly dependent. In other words, the matrix cannot be inverted and its rows or columns can be expressed as a linear combination of the other rows or columns. Therefore, if |A| is equal to 0, the matrix A is a singular matrix.

    Rate this question:

  • 13. 

    A square matrix A is said to be ______ if |A| is not equal to 0.

    • Non singular matrix

    • Singular matrix

    • Triangular

    • None of these

    Correct Answer
    A. Non singular matrix
    Explanation
    A square matrix A is said to be non-singular if its determinant |A| is not equal to 0. This means that the matrix A has an inverse, which allows for the solution of linear equations involving A. In other words, if a square matrix A is non-singular, it is invertible and has a unique solution.

    Rate this question:

  • 14. 

    A square matrix A is equal to [aij] is said to be ______ if [aij] = [aji]

    • Symmetric

    • Asymmetric

    • Conjugate

    • None of these

    Correct Answer
    A. Symmetric
    Explanation
    A square matrix A is said to be symmetric if the elements of the matrix are equal to their corresponding elements in the transpose of the matrix. In other words, if A = [aij], then A is symmetric if aij = aji for all i and j. This means that the matrix is symmetric along its main diagonal.

    Rate this question:

  • 15. 

    State the reflexive property.

    • A = A

    • If A=B then B=A

    • If A=B ,B=C then A=C

    • Option 4

    Correct Answer
    A. A = A
    Explanation
    The reflexive property states that any element or object is equal to itself. In this case, the statement "A = A" represents the reflexive property because it asserts that A is equal to itself.

    Rate this question:

  • 16. 

    AA-1 = ?

    • I

    • 1

    • 0

    • None of these

    Correct Answer
    A. I
    Explanation
    The given answer "I" is correct because when we subtract 1 from AA, it becomes I. In Roman numerals, A represents 1, so when we subtract 1 from A, it becomes I.

    Rate this question:

  • 17. 

    A matrix is said to be ________ if all the non-diagonal elements are 0.

    • Diagonal

    • Square

    • Column

    • Circular

    Correct Answer
    A. Diagonal
    Explanation
    A matrix is said to be diagonal if all the non-diagonal elements are 0. In other words, a diagonal matrix is a square matrix where all the elements outside the main diagonal (the diagonal from the top left to the bottom right) are 0. This means that the only non-zero elements in a diagonal matrix are on the main diagonal.

    Rate this question:

  • 18. 

    A derivative of cot x

    • -cosec2 x

    • Sec2 x

    • -tan x

    • Cos2 x

    Correct Answer
    A. -cosec2 x
    Explanation
    The given expression is a derivative of cot x. The derivative of cot x can be found by using the quotient rule of differentiation. The quotient rule states that if we have a function f(x) = g(x)/h(x), then the derivative of f(x) is given by (g'(x)h(x) - g(x)h'(x))/[h(x)]^2. In this case, g(x) = 1 and h(x) = tan x. Taking the derivatives of g(x) and h(x), we get g'(x) = 0 and h'(x) = sec^2 x. Plugging these values into the quotient rule formula, we get (-0 * tan x - 1 * sec^2 x)/[tan x]^2, which simplifies to -sec^2 x/[tan x]^2. Since sec^2 x = 1/[cos x]^2 and [tan x]^2 = [sin x]^2/[cos x]^2, we can further simplify the expression to -cosec^2 x. Therefore, the correct answer is -cosec^2 x.

    Rate this question:

  • 19. 

    ∫ sinx dx

    • - cos x

    • Cos x

    • Sec x

    • -cosec x

    Correct Answer
    A. - cos x
    Explanation
    The integral of sin(x) with respect to x is equal to -cos(x). This is a well-known result in calculus. The antiderivative of sin(x) is -cos(x), meaning that when we take the derivative of -cos(x) with respect to x, we get sin(x). Therefore, the correct answer is -cos(x).

    Rate this question:

  • 20. 

    ∫ cosx dx

    • Sin x

    • -sin x

    • -cosec x

    • Sec x

    Correct Answer
    A. Sin x
    Explanation
    The integral of cos(x) with respect to x is sin(x). This is a well-known result in calculus. The derivative of sin(x) is cos(x), so it follows that the integral of cos(x) is sin(x) plus a constant. Therefore, the correct answer is sin(x).

    Rate this question:

  • 21. 

    ∫ cosec2x dx

    • -cotx

    • -tanx

    • Cotx

    • Tanx

    Correct Answer
    A. -cotx
    Explanation
    The integral of cosec^2x is equal to -cotx + C, where C is the constant of integration. This can be derived using the identity cosec^2x = 1 + cot^2x and integrating both sides. Therefore, the correct answer is -cotx.

    Rate this question:

  • 22. 

    Sin2x + cos2x = ?

    • 1

    • Sin2x

    • Cos2x

    • -1

    Correct Answer
    A. 1
    Explanation
    The given expression is the sum of the squares of sine and cosine of 2x. According to the Pythagorean identity, sin^2(x) + cos^2(x) = 1. Therefore, sin^2(2x) + cos^2(2x) = 1. Hence, the correct answer is 1.

    Rate this question:

  • 23. 

    An ___________ set of mn numbers arranged in a rectangular array of m rows and n columns and enclosed by a pair of brackets is called a matrix.

    • Ordered

    • Unordered

    • Evenly ordered

    • None of them

    Correct Answer
    A. Ordered
    Explanation
    A matrix is an ordered set of numbers arranged in a rectangular array of rows and columns. The numbers are enclosed by a pair of brackets. Therefore, the correct answer is "ordered" because the numbers in a matrix are arranged in a specific order.

    Rate this question:

  • 24. 

    Which of these is not a matrix type?

    • Rounded matrix

    • Row

    • Column

    • None of these

    Correct Answer
    A. Rounded matrix
    Explanation
    A rounded matrix is not a recognized type of matrix. Matrices can be classified into different types based on their properties, such as square matrices, identity matrices, diagonal matrices, etc. However, a rounded matrix is not a standard classification. Therefore, the correct answer is "Rounded matrix."

    Rate this question:

  • 25. 

    The determinant of a matrix is mentioned as?

    • Mod

    • Hash

    • Tilde

    • None of these

    Correct Answer
    A. Mod
    Explanation
    The determinant of a matrix is mentioned as "Mod" because in mathematics, the determinant of a matrix is often denoted with the symbol "mod". The determinant is a scalar value that can be calculated for a square matrix and provides important information about the matrix, such as whether it is invertible or singular. The "mod" notation is commonly used to represent the determinant in mathematical equations and formulas.

    Rate this question:

  • 26. 

    A matrix obtained by interchanging the rows and columns of a matrix A is called as?

    • Transpose

    • Congugate

    • Adjoint

    • Cofactor

    Correct Answer
    A. Transpose
    Explanation
    The matrix obtained by interchanging the rows and columns of a matrix A is called the transpose of matrix A.

    Rate this question:

  • 27. 

    In a determinant, a ____________ of an element is a determinant by omitting rows and column in which that element is present.

    • Minor

    • Cofactor

    • Congugate

    • None of these

    Correct Answer
    A. Minor
    Explanation
    In a determinant, a minor of an element is a determinant obtained by omitting the rows and columns in which that element is present. The minor is used to calculate the cofactor of an element, which is then used in various operations involving determinants. The cofactor matrix is an important tool in finding the inverse of a matrix and solving systems of linear equations.

    Rate this question:

  • 28. 

    Which of these is a type of elementary transformation?

    • Row

    • Column

    • Both

    • None

    Correct Answer
    A. Both
    Explanation
    Both row and column transformations are types of elementary transformations. Elementary transformations are operations performed on matrices that do not change the linear relationships between the rows or columns of the matrix. These transformations include multiplying a row or column by a non-zero scalar, adding a multiple of one row or column to another row or column, and interchanging two rows or columns. Both row and column transformations can be used to perform these elementary operations on a matrix.

    Rate this question:

  • 29. 

    The number of non zero rows determines the __________ of a matrix.

    • Rank

    • Position

    • Both

    • None

    Correct Answer
    A. Rank
    Explanation
    The number of non-zero rows in a matrix determines its rank. The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. In other words, it represents the dimension of the vector space spanned by the rows or columns of the matrix. Therefore, the correct answer is "Rank".

    Rate this question:

  • 30. 

    Standard form of complex number is z=x+iy.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The standard form of a complex number is indeed z=x+iy, where x represents the real part and iy represents the imaginary part. This form allows us to easily represent and perform operations on complex numbers. Therefore, the given answer, "True," is correct.

    Rate this question:

  • 31. 

    A square matrix is said to be __________ if all the diagonal elements are unity and non-diagonal elements are zero.

    • Unit

    • Diagonal

    • Square

    • None

    Correct Answer
    A. Unit
    Explanation
    A square matrix is said to be "unit" if all the diagonal elements are unity and non-diagonal elements are zero. This means that all the elements on the main diagonal of the matrix are equal to 1, while all the other elements outside the main diagonal are equal to 0. This type of matrix is also known as an identity matrix, as it represents the identity operation in linear algebra.

    Rate this question:

  • 32. 

    A square matrix is said to be an upper triangular matrix if all the elements above the leading diagonal are zero.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    A square matrix is said to be an upper triangular matrix if all the elements above the leading diagonal are zero. However, the given statement is false because an upper triangular matrix can have non-zero elements above the leading diagonal as long as the elements below the leading diagonal are all zero.

    Rate this question:

  • 33. 

    A square matrix is said to ______________ if it is either upper or lower triangular matrix.

    • Triangular

    • Square

    • Diagonal

    • Polygon

    Correct Answer
    A. Triangular
    Explanation
    A square matrix is said to be triangular if it is either upper or lower triangular matrix. This means that all the entries above or below the main diagonal of the matrix are zero. Triangular matrices have a special structure that makes them useful in various mathematical operations and computations.

    Rate this question:

  • 34. 

    A matrix is said to be row matrix if it has only one column and any number of rows.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    A matrix is said to be a row matrix if it has only one row and any number of columns, not the other way around. Therefore, the given statement is false.

    Rate this question:

  • 35. 

    Two complex numbers are equal if their corresponding real and imaginary parts both are equal.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The explanation for the answer being true is that for two complex numbers to be equal, their real parts must be equal and their imaginary parts must also be equal. This is because a complex number is represented as a combination of a real number and an imaginary number. Therefore, if both the real and imaginary parts of two complex numbers are the same, they are considered equal.

    Rate this question:

Quiz Review Timeline (Updated): Mar 21, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 06, 2017
    Quiz Created by
    Bscit_it

Related Topics

Recent Quizzes

Test Your Skills With a Linear Equation in Three Variables Quiz Test Your Skills With a Linear Equation in Three Variables Quiz
Logarithms Quiz: Challenge Your Exponentiation Skills Logarithms Quiz: Challenge Your Exponentiation Skills
Master Subtraction: Subtraction Quiz For Beginners Master Subtraction: Subtraction Quiz For Beginners
How Many Eighths? Quiz: Test Your Calculation Skills How Many Eighths? Quiz: Test Your Calculation Skills
How Many Acres? Quiz: Test Your Measurement Skills How Many Acres? Quiz: Test Your Measurement Skills
Take the Ultimate How Many Meters? Quiz Take the Ultimate How Many Meters? Quiz
How Many Centimeters? Quiz: Measure Your Skills How Many Centimeters? Quiz: Measure Your Skills
Take The Challenge: How Many Eggs? Quiz Take The Challenge: How Many Eggs? Quiz
How Many Square Feet? Quiz: Test Your Measurement Skills How Many Square Feet? Quiz: Test Your Measurement Skills

Featured Quizzes

Physical Education Quiz Questions And Answers Physical Education Quiz Questions And Answers
What Is My Talent? What Is My Talent?
Simple Present Tense Quiz: Learn and Test Your Skills Simple Present Tense Quiz: Learn and Test Your Skills
BTS Quiz: Who Is Your BTS Soulmate? BTS Quiz: Who Is Your BTS Soulmate?
United Nations Quiz: Questions and Answers United Nations Quiz: Questions and Answers
First 20 Elements Of The Periodic Table Quiz First 20 Elements Of The Periodic Table Quiz
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.