Variations :

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10th Class Math MCQs Chapter-03

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1 / 40

A third proportional of 12 and 4, is ______

3 / 4

4 / 3

2 / 40

The mean proportional of and is ______________

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

(Which Option is Correct)

Option-IV

Option-II

Option-III

Option-I

3 / 40

If x and y varies directrly, then x = _________

k y

k / y

4 / 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-II

Option-IV

Option-I

Optoin-III

5 / 40

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

6 / 40

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

7 / 40

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

8 / 40

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

±8

±12

±144

9 / 40

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

None of these

means

fourth

third

10 / 40

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

consequent

antecedent

Relation

None of these

11 / 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-III

Option-II

Option-IV

Option-I

12 / 40

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

9bx

9y / 9b

9bx / y

5ay = 45bx

13 / 40

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

Option-II

Option-IV

Option-I

Option-III

14 / 40

Mean Proportional of and 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-IV

Option-III

Option-I

Option-II

15 / 40

Fourth proportional of 5, 8, 15 is ________

120

16 / 40

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

None of these

means

extremes

third proportional

17 / 40

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

x y v

vy / x

xy / v

x / vy

18 / 40

Newton's law of Gravitation is an example of ________

Joint Variation

Direct Variation

Variation

Inverse Variation

19 / 40

Third proportional of 6, 12 is _______

20 / 40

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

±15

225

±25

21 / 40

Which one is the Fourth proportional of ?

$9x^{12}$

(Which Option is Correct)

Option-III

Option-IV

Option-II

Option-I

22 / 40

Mean proportional of is _________

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

(Which Option is Correct)

Option-IV

Option-II

Option-III

Option-I

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-I

Option-III

Option-II

Option-IV

24 / 40

Find " x " in proportion

4 : x :: 5 : 15

75 / 4

3 / 4

4 / 3

25 / 40

There are _________ types of variation

three

Four

one

two

26 / 40

if u α , then_________

(Which Option is Correct)

Option-2

Option-3

Option-1

Option-4

27 / 40

The Third proportional of and is ___________

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

(Whcih Option is Correct)

Option-III

Option-IV

Option-II

Option-I

28 / 40

Third proportional of is _________

(Which Option is Correct)

Option-III

Option-IV

Option-I

Option-II

29 / 40

The Mean Proportional of 20 & 45 is _______

±30

±15

±900

30 / 40

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

None of these

antecedent

Relation

consequent

31 / 40

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

(Which Option is Correct)

Option-IV

Option-I

Option-II

Option-III

32 / 40

The fourth proportional of 15, 6 , 5 is _________

33 / 40

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

±4

±36

±6

34 / 40

If v varies direct as , then = ________

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

(Which Option is Correct)

Option-II

Option-I

Option-III

Option-IV

35 / 40

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

9: 4 : : m : m

4 : 9 : : 9 : m

4 : m : : m : 9

9 : 4 : : 4 : m

36 / 40

If w varies inversely as , then k = _________

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

(Which Option is Correct)

Option-I

Option-IV

Option-III

Option-II

37 / 40

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

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

(Which Option is Correct)

Option-4

Option-3

Option-2

Option-1

38 / 40

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

means

None of these

fourth

third

39 / 40

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

extremes

None of these

means

forth proportional

40 / 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-IV

Option-III

Option-I

Option-II

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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)

Online Practice/ Test - MCQs & Short Questions

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)

Online Practice/ Test - MCQs & Short Questions

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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