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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.

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

1. the relation between radius and circumference of a circle is an example of

 variation

 Joint variation

 Inverse variation

 Direct variation

2. The simplest form of the ratio $\frac{(x+y)(x^2+xy+y^2)}{x^3-y^3}$ is

 $1$

 $\frac{x+y}{x-y}$

 $2$

 $\frac{x-y}{x+y}$

3. If $\frac{24}{7}=\frac{6}{x}$ then $4x=$ ———.

 $4$

 $7$

 $\frac{7}{4}$

 $\frac{42}{24}$

4. If $u \propto v^2$ then

 $u=v^2$

 $u=kv^2$

 $uv^2=k$

 $uv^2=1$

5. In continued proportion $a:b=b:c$, $c$ is said to be —— proportional to $a$ and $b$.

 Third

 Fourth

 Means

 Antecedents

6. If $y^2 \propto \frac{1}{x^3}$ then

 $y^2=x^2$

 $y^2=kx^3$

 $y^2-\frac{k}{x^3}$

 $y^2-\frac{1}{x^3}$

7. If $a:b=x:y$ then alternate is

 $\frac{a-b}{x}=\frac{x-y}{y}$

 $\frac{a}{b}=\frac{x}{y}$

 $\frac{a+b}{b}=\frac{x+y}{y}$

 $\frac{a}{x}=\frac{b}{y}$

8. The third proportional of $x^2$ and $y^2$ is

 $x^2y^2$

 $\frac{y^2}{x^2}$

 $\frac{y^4}{x^2}$

 $\frac{y^2}{x^4}$

9. In a ratio $a:b$, $a$ is called

 Percent

 Relational

 Consequent

 Antecedent

10. Find $x$ in proportion $4:x::5:15$

 $\frac{75}{4}$

 $\frac{4}{3}$

 $\frac{3}{4}$

 $12$

11. If $\frac{a}{b}=\frac{c}{d}$ then components property is

 $\frac{a-b}{b}=\frac{c-d}{d}$

 $\frac{a}{a-b}=\frac{c}{c-d}$

 $\frac{a}{a+b}=\frac{c}{c+d}$

 $\frac{ad}{bc}$

12. In a ratio $x:y$, $y$ is called

 Consequent

 Relation

 Antecedent

 Percent

13. Newton’s law of Gravitation is an example of

 Inverse variation

 Variation

 Direct variation

 Joint variation

14. The fourth proportional $w$ of $x:y::v:w$ is

 $\frac{xy}{v}$

 $\frac{vy}{x}$

 $\frac{x}{vy}$

 $xyv$

15. If $a:b=x:y$ then inverted property is

 $\frac{a}{a-b}$ = \frac{x}{x-y}$

 $\frac{b}{a}=\frac{y}{x}$

 $\frac{a+b}{b}=\frac{x+y}{y}$

 $\frac{a}{x}=\frac{b}{y}$

16. In a proportion $a:b::c:d$, $a$ and $d$ are called

 Extremes

 Means

 Third proportional

 Fourth proportional

17. In a proportion $a:b::c:d$, $b$ and $c$ are called

 Third proportional

 Means

 Fourth proportional

 Extremes

18. If $\frac{u}{v} = \frac{v}{2}=k$ then

 $u=w^2k$

 $u=vk^2$

 $u=wk^2$

 $u=v^2k$

19. If $\frac{5a}{3x} = \frac{15b}{y}$ then $ay=$ ———-.

 $\frac{9y}{9b}$

 $9bx$

 $\frac{9bx}{y}$

 $5ay = 45bx$

20. In continued proportion $a:b=b:c$, $ac=b^2$, $b$ is said to be ——— proportional.

 Fourth

 Third

 Means

 Antecedent

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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 $ay=$ ———-.

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The post is about the Theory of Quadratic Equations MCQ Class 10 from Chapter 2 of Mathematics. There are 20 MCQs from Chapter 2 of class 10 Mathematics. Let us start with the Theory of Quadratic Equation MCQs Class 10.

Please go to Theory of Quadratic Equation MCQS Class 10 3 to view the test

Theory of Quadratic Equation MCQS

• If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega^2=$
• If $1, \omega, \omega^2$ are cube roots of unity, then $\omega+\omega^2=$
• if $\omega$ is complex cube roots of unity, then $\omega^7=$
• If $\omega$ is complex cube roots of unity, then $\omega^{23}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{63}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{-5}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{-16}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{-27}=$
• $\left(-1 + \sqrt{-3}\right)^2=$
• The cube roots of 8 are
• Cube roots of -27 are
• Cube roots of 64 are
• $\left(1-\omega – \omega^2\right)^5=$
• $\left(1-3\omega – 3\omega^2\right)^3=$
• $\left(9+4\omega + 4\omega^2\right)^3=$
• Which of the following are symmetric functions of the roots of a quadratic equation?
• Which of the following shows “the product of two consecutive positive numbers”?
• The sum of five times a number and the square of the number is
• If the length and width of a rectangle are $x$ and $y$ respectively then which of the following shows the perimeter?
• “Five less than three times a certain number” is

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Multiple Choice Questions about the Theory of Quadratic Equation Class 10 Mathematics with Answers. There are 20 MCQs about the Theory of Quadratic Equations from Chapter 2 of class 10 Mathematics. Let us start with the “Theory of Quadratic Equation Class 10” quiz.

Please go to MCQs Theory of Quadratic Equation class 10 2 to view the test

Theory of Quadratic Equation Class 10 Mathematics

• The roots of $x^2+8x+16=0$ are
• If the roots of a quadratic equation equal then the discriminant is
• If the roots of a quadratic equation are imaginary then the discriminant is
• If the roots of a quadratic equation are real and distinct then the discriminant is
• If the roots of a quadratic equation are rational and distinct then the discriminant is
• If the roots of a quadratic equation are irrational and distinct then the discriminant is
• If for a quadratic equation $b^2 – 4ac=49$ then the roots are real and
• If for a quadratic equation, $b^2-4ac=-47$ then the roots are
• If for a quadratic equation $b^2-4ac=0$ then roots are
• If for a quadratic equation, $b^2-4ac=205$ then the roots are
• Which of the following is a true description of the nature of the roots of a quadratic equation?
• If the roots of a quadratic equation are real, rational, and equal, then the possible value of the discriminant is
• If the roots of a quadratic equation are real, rational, and unequal then the possible value of the discriminant is
• If the roots of a quadratic equation are real, irrational, and unequal, then the possible value of the discriminant is
• If the roots of a quadratic equation are imaginary and unequal, the possible value of the discriminant is
• If $\omega = \frac{-1 – \sqrt{-3}}{2}$ then $\omega^2=$?
• If $\omega$ and $\omega^2$ are complex cube roots of unity, then $\omega \cdot \omega^2=$?
• $\omega^4=$?
• If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega + \omega^2=$
• If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega=$

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