Direct and Inverse Proportions Test

Result

Direct and Inverse Proportions Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

Find inverse proportionaly constant if $$x$$ and $$y$$ are in inverse proportion.
$$x$$ $$9$$ $$6$$ $$3$$ $$18$$
$$y$$ $$2$$ $$3$$ $$6$$ $$1$$

A
$$9$$

B
$$18$$

C
$$27$$

D
$$30$$

Solution

$$\because x$$ and $$y$$ are inverse porportion
$$\therefore x \times y = k \Rightarrow 9\times 2 = 6\times 3 = 3\times 6 = 18\times 1 = 18 = k$$
Question 2
1 / -0

The cost of $$2$$ meter cloth is $$10$$. Find the cost of $$100\ m$$ cloth.

A
$$400$$

B
$$500$$

C
$$1000$$

D
$$1500$$

Solution

Cost of cloth is directly proportional to its length.

$$10 = 2\times k \Rightarrow k = 5$$ , where k is the cost of cloth per meter

$$\therefore$$ Cost of $$100\ m$$ cloth $$=5\times 100 = 500$$.
Question 3
1 / -0

Which of the following $$a$$ & $$b$$ are in direct proportion?

A
$$a=\dfrac{2}{b}$$

B
$$a=2b$$

C
$$a=b^3$$

D
$$a=\dfrac{1}{b^2}$$

Solution

If two numbers $$a$$ and $$b$$ are in direct proprtion then $$\dfrac{a}{b}=\text{ constant}$$

From option (B), $$\dfrac{a}{b}=2$$
$$\implies \dfrac{a}{b}=\text{ constant}$$ $$[\because 2$$ is a constant number $$]$$
Hence, option (B) is correct
Question 4
1 / -0

$$a$$ and $$b$$ are in ............ proportion
$$a$$ $$3$$ $$7$$ $$10$$ $$11$$
$$b$$ $$9$$ $$21$$ $$30$$ $$33$$

A
direct

B
indirect

C
both

D
none

Solution

$$\dfrac {a}{b} = \dfrac {3}{9} = \dfrac {7}{21} = \dfrac {10}{30} = \dfrac {11}{33} = \dfrac {1}{3} = k$$
$$\therefore a$$ and $$b$$ are in direct proportion.
Question 5
1 / -0

If $$4$$ men earn Rs $$360$$ in one day, then how much does a man earn in one day?

A
$$90$$

B
$$30$$

C
$$120$$

D
$$60$$

Solution

Earning of $$4$$ men $$=$$ Rs $$360$$ per day
Earning of $$1$$ man $$=$$ Rs $$\dfrac{360}{4}$$ per day
$$=$$ Rs $$90$$ per day
Question 6
1 / -0

In shelf, the book with green cover and that with brown cover are in the ratio $$2 : 3$$ there are $$18$$ books with green cover, then the number of books with brown cover is ?

A
$$12$$

B
$$24$$

C
$$27$$

D
$$36$$

Solution

$$Let\quad the\quad common\quad multiple\quad of\quad 2\quad and\quad 3\quad be\quad x.then:$$

$$ratio=2x:3x$$

$$it\quad is\quad given\quad that\quad books\quad with\quad green\quad color\quad are\quad 18\quad in\quad number.$$

$$The\quad ratio\quad is\quad 2x.$$

$$So\quad we\quad come\quad to\quad know\quad that:2x=18$$

$$x=\dfrac { 18 }{ 2 } =9$$

$$Ifx=9,the\quad books\quad with\quad green\quad cover=3x=3\times 9=27$$
Question 7
1 / -0

Which of the following is an example of indirect proportion?

A
Number of mangoes in a bag and weight of the bag.

B
Earning and hours worked.

C
More the speed, lesser the time taken.

D
None of these.

Solution

Indirect proportion: When one quantity increases another quantity decreases.
In option C, if the speed of the vehicle increases then the time taken by it to cover a distance, decreases.
Question 8
1 / -0

Both $$x$$ and $$y$$ are in direct proportional, then $$\dfrac{1}{x}$$ and $$\dfrac{1}{y}$$ are

A
in direct proportion

B
in inverse proportion

C
neither in direct nor in inverse proportion.

D
sometimes in direct sometimes in inverse proportion.

Solution
Question 9
1 / -0

The number of teeth and the age of a person vary

A
directly with each other

B
inversely with each other

C
neither directly nor inversely with each other

D
sometimes directly sometimes inversely with each other

Solution
Question 10
1 / -0

Assuming land to be uniformly fertile, the area of land and the yeild on it vary

A
directly with each other

B
inversely with each other

C
neither directly nor inversely with each other

D
sometimes directly sometimes inversely with each other

Solution

directly with each other

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Re-Attempt Weekly Quiz Competition

$$x$$	$$9$$	$$6$$	$$3$$	$$18$$
$$y$$	$$2$$	$$3$$	$$6$$	$$1$$

$$a$$	$$3$$	$$7$$	$$10$$	$$11$$
$$b$$	$$9$$	$$21$$	$$30$$	$$33$$

Direct and Inverse Proportions Test - 12

Result

Direct and Inverse Proportions Test - 12

Score

-

Rank

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SHARING IS CARING

Question 1

$$9$$

$$18$$

$$27$$

$$30$$

Solution

Question 2

$$400$$

$$500$$

$$1000$$

$$1500$$

Solution

Question 3

$$a=\dfrac{2}{b}$$

$$a=2b$$

$$a=b^3$$

$$a=\dfrac{1}{b^2}$$

Solution

Question 4

direct

indirect

both

none

Solution

Question 5

$$90$$

$$30$$

$$120$$

$$60$$

Solution

Question 6

$$12$$

$$24$$

$$27$$

$$36$$

Solution

Question 7

Number of mangoes in a bag and weight of the bag.

Earning and hours worked.

More the speed, lesser the time taken.

None of these.

Solution

Question 8

in direct proportion

in inverse proportion

neither in direct nor in inverse proportion.

sometimes in direct sometimes in inverse proportion.

Solution

Question 9

directly with each other

inversely with each other

neither directly nor inversely with each other

sometimes directly sometimes inversely with each other

Solution

Question 10

directly with each other

inversely with each other

neither directly nor inversely with each other

sometimes directly sometimes inversely with each other

Solution

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