Important MCQs Variations Class 10 Test 2

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Online MCQs Variations Class 10 questions and answers. There are 21 multiple-choice questions from chapter 3 of Mathematics Class 10. Let us start with MCQs variations Class 10.

Online Multiple Choice Questions about Variations from Chapter 3 of 10th Class Mathematics

1. If $\frac{9pq}{2lm}=\frac{18p}{5m}$ then $5q=$ is

 
 
 
 

2. What is the value of $x$ in the continued proportion of $8, x, 18$ is

 
 
 
 

3. The mean proportion of $9p^6q^4$ and $r^8$ is

 
 
 
 

4. The fourth proportion of 5, 8, and 15 is

 
 
 
 

5. The fourth proportion of $4x^4, 2x^3$, and $18x^5$ is

 
 
 
 

6. The third proportion of $a^3$ and $3a^2$ is

 
 
 
 

7. The mean proportion of 20 and 45 is

 
 
 
 

8. If proportion $7:4::p:8$, then $p=$?

 
 
 
 

9. If $v$ vary directly as $u^3$, then $u^3=$?

 
 
 
 

10. What is the value of $p$ in the continued proportion of $12, p, 3$?

 
 
 
 

11. The continued proportion of $4, m, 9$ is

 
 
 
 

12. How many types of variations are there?

 
 
 
 

13. A third proportional of 12 and 4 is

 
 
 
 

14. What is the value of $p$ is the continued proportion of $5, p, 45% is

 
 
 
 

15. The mean proportion of $4m^2n^4$ and $p^6$ is

 
 
 
 

16. The fourth proportion of 15, 6, and 5 is

 
 
 
 

17. If $6:m::9:12$, then $m=$?

 
 
 
 

18. The third proportion of 6 and 12 is

 
 
 
 

19. The mean proportion of $20x^3y^5$ and $5x^7y$ is

 
 
 
 

20. If $x$ and $y$ vary directly, then $x=$?

 
 
 
 

21. If $w$ vary inversely as $p^2$, then $k=$?

 
 
 
 

MCQs Variations Class 10 Chapter 3 Mathematics

  • If proportion $7:4::p:8$, then $p=$?
  • If $6:m::9:12$, then $m=$?
  • If $x$ and $y$ vary directly, then $x=$?
  • If $v$ vary directly as $u^3$, then $u^3=$?
  • If $w$ vary inversely as $p^2$, then $k=$?
  • A third proportional of 12 and 4 is
  • The fourth proportion of 15, 6, and 5 is
  • The mean proportion of $4m^2n^4$ and $p^6$ is
  • The continued proportion of $4, m, 9$ is
  • The third proportion of 6 and 12 is
  • The third proportion of $a^3$ and $3a^2$ is
  • The fourth proportion of 5, 8, and 15 is
  • The fourth proportion of $4x^4, 2x^3$, and $18x^5$ is
  • The mean proportion of 20 and 45 is
  • The mean proportion of $20x^3y^5$ and $5x^7y$ is
  • What is the value of $p$ is the continued proportion of $5, p, 45% is
  • What is the value of $x$ in the continued proportion of $8, x, 18$ is
  • If $\frac{9pq}{2lm}=\frac{18p}{5m}$ then $5q=$ is
  • The mean proportion of $9p^6q^4$ and $r^8$ is
  • What is the value of $p$ in the continued proportion of $12, p, 3$?
  • How many types of variations are there?
MCQs Variations Class 10 Mathematics Chapter 3

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MCQs on Matrices and Determinants 5

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The quiz is about the MCQs on Matrices and Determinants from First Year Mathematics with Answers. There are 20 multiple-choice questions from the Mathematics book of part 1. Let us start with the MCQs on Matrices and Determinants Quiz.

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MCQs on Matrices and Determinants First-Year Mathematics

  • If $\begin{bmatrix} a & b \ 0 & 7\end{bmatrix}= \begin{bmatrix}2&3 \ 1 &-9 \end{bmatrix}$ then
  • The number of non-zero rows in the echelon form of a matrix is called
  • If $A$ is any square matrix then $A+A^t$ is a
  • If $A$ is any square matrix then $A-A^t$ is a
  • If $A$ is any square matrix then $A+(\overline{A})^t$ is a
  • If $A$ is any square matrix then $A-(\overline{A}^t$ is a
  • If $A$ is a symmetric (skew-symmetric) then $A^2$ must be
  • In a homogeneous system of linear equations, the solution (0, 0, 0) is
  • If $AX=O$ then $X=$?
  • If a system of linear equations has no solution at all, then it is called a/an
  • The value of $\lambda$ for which the system $x+2y=4$; $2x+\lambda y = -3$ does not possess the unique solution.
  • If the system $x+2y=0$; $2x+\lambda y=0$ has non-trivial solution, then $\lambda$ is
  • If $\begin{bmatrix}2x+3& 1 \ -3 & 4 \end{bmatrix} = \begin{bmatrix} -1+x & 1 \ -3 & 4\end{bmatrix}$ then $x=$?
  • The cofactor $A_{22}$ of $\begin{bmatrix} 1 & 2 & 4 \ -1 & 2 & 5 \ 0 & 1 & -1\end{bmatrix}$ is
  • If $A=[a_{ij}]_{3\times 3}$ then $I_3\, A$ is equal to
  • If all the entries the entries of a row of a square matrix $A$ are zero, then $|A|$ equals
  • If $\begin{vmatrix}x & 4 \ 5 & 10\end{vmatrix}=0 \Rightarrow x$ equals
  • The inverse of the unit matrix is
  • Transpose of a row matrix is
  • If any matrix $A$ has different numbers of rows and columns then $A$ is
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MCQs Matrices and Determinants Questions 4

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Online Multiple-Choice Questions from Chapter 3 of First Year Mathematics (Intermediate Part-I). The Matrices and Determinants Questions test contains 20 MCQ-type questions with Answers. Let us start with the Matrices and Determinant Questions Quiz.

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Matrices and Determinants Questions Test with Answers

matrices and Determinants Questions quiz First year Mathematics
  • Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. Then minor of $a_{ij}$ is equal to
  • Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. The cofactor of $a_{ij}$ is equal to
  • For any square matrix $A$. It is always true that
  • For any square matrix $A$, $|A|$ is equal to
  • If all entries of a square matrix of order 3 are multiplied by $k$ then the value of $|kA|$ is equal to
  • For any non-singular matrix $A$, it is true that
  • For any non-singular matrix $A$, it is true that
  • For any non-singular matrices $A$ and $B$, it is true that
  • A square matrix $A=[a_{ij}]$ for which all $a_{ij}=0$, $i>j$ then $A$ is called
  • A square matrix $A=[a_{ij}]$ for which all $a_{ij} = 0$, $i<j$ then $A$ is called
  • A triangular matrix is always a
  • Any square matrix $A$ is called a singular if
  • A square matrix $A$ is symmetric if
  • a square matrix $A$ is skew symmetric if
  • A square matrix $A$ is Hermitian if
  • A square matrix $A$ is skew Hermitian if
  • The main diagonal elements of a skew-symmetric matrix must be
  • In echelon form of a matrix, the first non-zero entry is called
  • The additive inverse of a matrix exists only if it is
  • The multiplicative inverse of a matrix exists only if it is

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Important MCQs Variations Class 10 – 1

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The post is about Multiple Choice Questions about Variations Class 10 from Chapter 3. There are 20 MCQs from Class 10 mathematics Chapter 3. Let us start with the quiz.

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MCQs Variations Class 10 Mathematics

  • In a ratio $a:b$, $a$ is called
  • In a ratio $x:y$, $y$ is called
  • In a proportion $a:b::c:d$, $a$ and $d$ are called
  • In a proportion $a:b::c:d$, $b$ and $c$ are called
  • In continued proportion $a:b=b:c$, $ac=b^2$, $b$ is said to be ——— proportional.
  • In continued proportion $a:b=b:c$, $c$ is said to be —— proportional to $a$ and $b$.
  • Find $x$ in proportion $4:x::5:15$
  • If $u \propto v^2$ then
  • If $y^2 \propto \frac{1}{x^3}$ then
  • If $\frac{u}{v} = \frac{v}{2}=k$ then
  • The third proportional of $x^2$ and $y^2$ is
  • The fourth proportional $w$ of $x:y::v:w$ is
  • If $a:b=x:y$ then alternate is
  • If $a:b=x:y$ then inverted property is
  • If $\frac{a}{b}=\frac{c}{d}$ then components property is
  • The simplest form of the ratio $\frac{(x+y)(x^2+xy+y^2)}{x^3-y^3}$ is
  • Newton’s law of Gravitation is an example of
  • the relation between radius and circumference of a circle is an example of
  • If $\frac{24}{7}=\frac{6}{x}$ then $4x=$ ———.
  • If $\frac{5a}{3x} = \frac{15b}{y}$ then $ay=$ ———-.
Chapter 3 Mathematics Variations Class 10 with Answers

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