Variations :

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10th Class Math MCQs Chapter-03

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1 / 40

In Continued proportion of 12 , p , 3 the value of p is _____

±4

±36

±6

2 / 40

If $\frac{a}{b} = \frac{c}{d}$ , then componendo property is _________

$\frac{a}{a+b}=\frac{c}{c+d}$
$\frac{a}{a-b}=\frac{c}{c-d}$
$\frac{ad}{bc}$
$\frac{a-b}{b}=\frac{c-d}{d}$

(Select Correct Option)

Option-II

Option-IV

Option-I

Option-III

3 / 40

Find " x " in proportion

4 : x :: 5 : 15

3 / 4

4 / 3

75 / 4

4 / 40

If a : b = x : y, then alternando property is _______

$\frac{a}{x} = \frac{b}{x}$
$\frac{a}{b} = \frac{x}{y}$
$\frac{a+b}{b}=\frac{x+y}{y}$
$\frac{a-b}{x}=\frac{x-y}{y}$

(Select Correct Option)

Option-III

Option-IV

Option-II

Option-I

5 / 40

If $\frac{u}{v} = \frac{v}{w} = k$ then _______ (Which Option is Correct)

Option-II

Option-IV

Option-I

Option-III

6 / 40

The fourth proportional of 15, 6 , 5 is _________

7 / 40

Third proportional of 6, 12 is _______

8 / 40

What is the value of p in the continued proportion of 5, p, 45?

±15

±25

225

9 / 40

If $\frac{5a}{3x} = \frac{15b}{y}$ , then ay = ____________________

9y / 9b

5ay = 45bx

9bx

9bx / y

10 / 40

If v varies direct as u^3 , then u^3 = ________

$\frac{k}{v}$
$\frac{v}{k}$

(Which Option is Correct)

Option-I

Option-II

Option-IV

Option-III

11 / 40

The fourth proportional w of " x : y : : v : w is _________

x / vy

xy / v

x y v

vy / x

12 / 40

Mean Proportional of 9p^6q^4 and r^8 is __________

$\pm 3p^3q^2r^4$
$\pm 9p^6q^2r^8$
$\pm 9p^3q^2r^4$
$\pm 3p^6q^4r^8$

(Which Option is Correct)

Option-II

Option-IV

Option-III

Option-I

13 / 40

if u α v^2 , then_________

(Which Option is Correct)

Option-2

Option-1

Option-4

Option-3

14 / 40

The Mean Proportional of 20 & 45 is _______

±15

±30

±900

15 / 40

If w varies inversely as p^2 , then k = _________

$\frac{w}{p^2}$
$\frac{p^2}{w}$

(Which Option is Correct)

Option-IV

Option-I

Option-III

Option-II

16 / 40

If 6 : m : : 9 : 12 , then m = ________

17 / 40

The continued proportion of 4, m, 9 is written as ________

9 : 4 : : 4 : m

4 : m : : m : 9

4 : 9 : : 9 : m

9: 4 : : m : m

18 / 40

In a proportion " a : b :: c : d " , "a" and "d" are called ___________

extremes

None of these

means

third proportional

19 / 40

Fourth proportional of 5, 8, 15 is ________

120

20 / 40

Mean proportional of 20x^3y^5 , 5x^7y is _________

$\pm 10x^5y^6$
$\pm 10x^5y^3$
$\pm 10x^{10}y^6$
$100x^{10}y^6$

(Which Option is Correct)

Option-I

Option-III

Option-II

Option-IV

21 / 40

If x and y varies directrly, then x = _________

k / y

k y

22 / 40

Newton's law of Gravitation is an example of ________

Variation

Inverse Variation

Direct Variation

Joint Variation

23 / 40

If a : b = x : y , then invertendo property is ___________

$\frac{a}{x} = \frac{b}{y}$
$\frac{a}{a-b}=\frac{x}{x-y}$
$\frac{a+b}{b} = \frac{x+y}{y}$
$\frac{b}{a}=\frac{y}{x}$

(Select Correct Option)

Option-II

Option-IV

Option-III

Option-I

24 / 40

There are _________ types of variation

Four

two

one

three

25 / 40

The Third proportional of x^2 and y^2 is ___________

$\frac{y^2}{x^2}$
$\frac{y^4}{x^2}$
$\frac{y^2}{x^4}$

(Whcih Option is Correct)

Option-II

Option-III

Option-IV

Option-I

26 / 40

if y^2 ∝ $\frac{1}{x^3}$ , then _______________

$y^2 = \frac{k}{x^3}$
$y^{2} = \frac{1}{x^3}$

(Which Option is Correct)

Option-3

Option-1

Option-4

Option-2

27 / 40

In a ratio " a : b " , a is called ________

antecedent

consequent

None of these

Relation

28 / 40

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

$\frac{x-y}{x+y}$
$\frac{x^3+y^3}{x^3-y^3}$
$\frac{x+y}{x-y}$

(Which Option is Correct)

Option-I

Option-II

Option-IV

Optoin-III

29 / 40

in a Ratio " x : y ", y is called __________

consequent

antecedent

None of these

Relation

30 / 40

If $\frac{u}{v} = \frac{v}{w} = k$ , then

(Which Option is Correct)

Option-I

Option-III

Option-IV

Option-II

31 / 40

In continued proportion " a : b = b : c ", ac = b² , b is said to be ________ proportional between "a & c".

None of these

third

fourth

means

32 / 40

What is the Value of x in the continued proportion of 8, x, 18 ?

±144

±8

±12

33 / 40

The mean proportional of 4m^2n^4 and p^6 is ______________

$\pm 2mnp$
$\pm mnp$
$\pm \frac{2m^2n}{p}$
$\pm 2mn^2p^3$

(Which Option is Correct)

Option-III

Option-IV

Option-II

Option-I

34 / 40

Third proportional of a^3 , 3a^2 is _________

(Which Option is Correct)

Option-II

Option-IV

Option-I

Option-III

35 / 40

Which one is the Fourth proportional of 4x^4 , 2x^3 , 18x^5 ?

$9x^{12}$

(Which Option is Correct)

Option-IV

Option-II

Option-III

Option-I

36 / 40

In a proportion " a : b :: c : d " , "b" & "c" are called _________

means

forth proportional

extremes

None of these

37 / 40

If $\frac{9pq}{2lm} = \frac{18p}{5m}$ , then value of "5q" is __________

38 / 40

in continues proportional " a : b = b : c " , c is said to be __________ proportional to "a & b".

None of these

means

fourth

third

39 / 40

In proportion 7 : 4 : : p : 8, the value of p = _______

40 / 40

A third proportional of 12 and 4, is ______

3 / 4

4 / 3

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Math Solution 10th Class (Science Group)

Chapter 01 - QUADRATIC EQUATIONS

Exercise 1.1 (English) (Urdu)

Exercise 1.2 (English) (Urdu)

Exercise 1.3 (English) (Urdu)

Exercise 1.4 (English) (Urdu)

Ex 1-Misc (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 02 - THEORY OF QUADRATIC EQUATIONS

Exercise 2.1 (English) (Urdu)

Exercise 2.2 (English) (Urdu)

Exercise 2.3 (English) (Urdu)

Exercise 2.4 (English) (Urdu)

Exercise 2.5 (English) (Urdu)

Exercise 2.6 (English) (Urdu)

Exercise 2.7 (English) (Urdu)

Exercise 2.8 (English) (Urdu)

Ex 2-Misc (English) (Urdu)

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Chapter 03 - VARIATIONS

Exercise 3.1 (English) (Urdu)

Exercise 3.2 (English) (Urdu)

Exercise 3.3 (English) (Urdu)

Exercise 3.4 (English) (Urdu)

Exercise 3.5 (English) (Urdu)

Exercise 3.6 (English) (Urdu)

Exercise 3.7 (English) (Urdu)

Ex 3-Misc (English) (Urdu)

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Chapter 04 - PARTIAL FRACTIONS

Exercise 4.1 (English) (Urdu)

Exercise 4.2 (English) (Urdu)

Exercise 4.3 (English) (Urdu)

Exercise 4.4 (English) (Urdu)

Ex 4-Misc (English) (Urdu)

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Chapter 05 - SETS AND FUNCTIONS

Exercise 5.1 (English) (Urdu)

Exercise 5.2 (English) (Urdu)

Exercise 5.3 (English) (Urdu)

Exercise 5.4 (English) (Urdu)

Exercise 5.5 (English) (Urdu)

Ex 5-Misc (English) (Urdu)

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Chapter 06 - BASIC STATISTICS

Exercise 6.1 (English) (Urdu)

Exercise 6.2 (English) (Urdu)

Exercise 6.3 (English) (Urdu)

Ex 6-Misc (English) (Urdu)

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Chapter 07 - INTRODUCTION TO TRIGONOMETRY

Exercise 7.1 (English) (Urdu)

Exercise 7.2 (English) (Urdu)

Exercise 7.3 (English) (Urdu)

Exercise 7.4 (English) (Urdu)

Exercise 7.5 (English) (Urdu)

Ex 7-Misc (English) (Urdu)

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Chapter 08 - PROJECTION OF A SIDE OF A TRIANGLE

Exercise 8.1 (English) (Urdu)

Exercise 8.2 (English) (Urdu)

Ex 8-Misc (English) (Urdu)

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Chapter 09 - CHORDS OF A CIRCLE

Exercise 9.1 (English) (Urdu)

Exercise 9.2 (English) (Urdu)

Ex 9-Misc (English) (Urdu)

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Chapter 10 - TANGENT TO A CIRCLE

Exercise 10.1 (English) (Urdu)

Exercise 10.2 (English) (Urdu)

Exercise 10.3 (English) (Urdu)

Ex 10-Misc (English) (Urdu)

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Chapter 11 - CHORDS AND ARCS

Exercise 11.1 (English) (Urdu)

Ex 11-Misc (English) (Urdu)

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Chapter 12 - ANGLE IN A SEGMENT OF A CIRCLE

Exercise 12.1 (English) (Urdu)

Ex 12-Misc (English) (Urdu)

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Chapter 13 - PRACTICAL GEOMETRY - CIRCLES

Exercise 13.1 (English) (Urdu)

Exercise 13.2 (English) (Urdu)

Exercise 13.3 (English) (Urdu)

Ex 13-Misc (English) (Urdu)

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Math Past Papers

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Other Math Notes

10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

10th Math Past Papers (Arts Group)

9th Class Math Science Group (English Medium)

9th Class Math Science Group (Urdu Medium)

9th Class Math Arts Group (Urdu Medium)

9th Class Math Past Papers (Science Group)

9th Class Math Past Papers (Arts Group)

10th Class Math Solution:

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