Direct and Inverse Proportions Test

Result

Direct and Inverse Proportions Test - 11

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which is example of inverse proportion?

A
Length of edge of square & its area

B
Speed and time taken

C
Length of edge of square & its perimeter

D
Quantity of pencils & total cost

Solution

2 quantities say it be $$x , y$$ are said to be in inverse proportion when the increse in value of $$x$$ , leads to the decrease in value of $$y$$.

we know that,
$$speed = \dfrac{distance}{time}$$

i.e., Speed is directly proportion to distance and at a fixed distance inverse proportion to time.

Hence at fixed distance, if speed increses, time taken will decrease and vice versa. which is Option B
Question 2
1 / -0

Which is an example of inverse proportion?

A
More amount of sweets, more total cost

B
More length of cloth, more cost

C
More expenditure, less saving

D
More height of object, more length of its shadow

Solution

2 quantities say it be $$x , y$$ are said to be in proportion when the change in value of $$x$$ , leads to the equal change in value of $$y$$.
If $$x$$ increases and hence $$y$$ decreases proportionally, it is called Inverse proportion i.e $$x\propto\dfrac{1}{y}$$
For example, In option C, if our expenses are more, then we are left with lesser savings from a fixed salary or income.
hence, Expenditure and savings are in inverse proportion.
So the answer is C
Question 3
1 / -0

Cost of 10 mangoes is Rs. 100. The cost of 18 mangoes is__

A
Rs. 18

B
Rs. 108

C
Rs. 200

D
Rs. 180

Solution

Here, the cost of mangoes is directly proportional to the number of mangoes bought.

So, if $$ 10 $$ mangoes costs $$ Rs.\ 100 $$, then $$ 1 $$ mango will cost $$ Rs. \dfrac{ 100 }{10} = Rs . 10 $$

Therefore, $$ 18 $$ mangoes will cost $$= 18 \times \dfrac{ 100 }{10} = Rs. 180 $$
Question 4
1 / -0

Eight oranges can be bought for Rs $$10.40$$, then how many more oranges can be bought for Rs $$16.90$$?

A
$$5$$ oranges

B
$$3$$ oranges

C
$$7$$ oranges

D
$$2$$ oranges

Solution

Let $$x$$ oranges be bought for Rs.$$ 16.90.$$

Given, eight oranges are bought for Rs.$$ 10.40.$$

Then, $$\dfrac{8}{x}=\dfrac{10.40}{16.90}$$

$$\Longrightarrow x=\dfrac{16.90\times 8}{10.40}=13$$

Then, $$(13-8)=5$$ more oranges can be bought.
Question 5
1 / -0

$$ x$$ $$2$$ $$ 5$$ $$ 25$$
$$ y$$ $$25$$ $$10$$ $$m$$
If $$x$$ & $$y$$ are in inverse proportion, find m

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

The given example is of inverse proportion.
by definition,
$$x\propto \dfrac{1}{y}$$ i.e. $$x = K\dfrac{1}{y}$$ , where $$K$$ is constant of proportionality
$$\therefore xy = K$$
$$x\times y = 2\times 25 = 50 = K$$
now, $$25\times m = 50$$
$$\therefore m = 2$$
Answer is option B
Question 6
1 / -0

Find the value of $$x$$ if $$a$$ and $$ b$$ are in direct proportion
$$a$$ $$2$$ $$3$$ $$4$$ $$5$$
$$b$$ $$14$$ $$21$$ $$x$$ $$35$$

A
$$16$$

B
$$25$$

C
$$27$$

D
$$28$$

Solution

$$a$$ and $$b$$ are in direct proportion
$$\therefore \dfrac {a}{b} = k = \dfrac {2}{14} = \dfrac {3}{21} = \dfrac {1}{7}$$
$$\therefore \dfrac {4}{x} = \dfrac {1}{7} \Rightarrow x = 28$$.
Question 7
1 / -0

If x & y are in direct proportion then find the value of a
x
2
3
5
7
y
4
6
a
14

A
$$8$$

B
$$10$$

C
$$15$$

D
$$20$$

Solution

We know that, in direct proportion, the ratio of the quantities remains constant
$$\therefore \ \dfrac{x}{y}=k$$
$$\dfrac{2}{4}=\dfrac{3}{6}=\dfrac{5}{a}=\dfrac{7}{14}=k\;\Rightarrow\;k=\dfrac{1}{2}=\dfrac{5}{a}\;\Rightarrow\;a=10$$

Thus option B is the correct answer.
Question 8
1 / -0

If $$x$$ & $$y$$ are in inverse proportion then find proportionality constant at $$x=3,\;y=2$$

A
$$4$$

B
$$5$$

C
$$6$$

D
$$7$$

Solution

Given that. $$x$$ and $$y$$ are inverse proportion,
i.e. $$x \propto \dfrac{1}{y}$$
$$\therefore xy = K$$, where $$K$$ is constant proportionality
Given.
$$x = 3, y = 2$$
$$\therefore 3\times2 = K = 6$$
Answer is $$6$$
Question 9
1 / -0

$$14$$ apples cost $$Rs. 140.$$ Then, the cost of 1 apple is__

A
$$Rs. 10$$

B
$$Rs. 8$$

C
$$Rs. 4$$

D
$$Rs. 14$$

Solution

The cost of apples is directly proportional to the number of apples bought.

So, if $$ 14 $$ apples cost $$ Rs\ 140 $$, then $$ 1 $$ apple will cost $$ Rs \dfrac{ 140 }{14} = Rs 10 $$
Question 10
1 / -0

$$x$$ $$2$$ $$ 3$$ $$ 5$$ $$ 6$$ $$10$$
$$ y$$ $$15$$ $$10$$ $$ b$$ $$5$$ $$ 3$$
Identify the inverse proportional quantities.

A
$$4$$

B
$$5$$

C
$$6$$

D
$$10$$

Solution

The given example is of inverse proportion.
by definition,
$$x\propto \dfrac{1}{y}$$ i.e. $$x = K\dfrac{1}{y}$$ , where $$K$$ is constant of proportionality
$$\therefore xy = K$$
$$x\times y = 2\times 15 = 30 = K$$
now, $$5\times b = 30$$
$$\therefore b = 6$$
Answer is option C

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

$$x$$	$$2$$	$$ 3$$	$$ 5$$	$$ 6$$	$$10$$
$$ y$$	$$15$$	$$10$$	$$ b$$	$$5$$	$$ 3$$

$$ x$$	$$2$$	$$ 5$$	$$ 25$$
$$ y$$	$$25$$	$$10$$	$$m$$

$$a$$	$$2$$	$$3$$	$$4$$	$$5$$
$$b$$	$$14$$	$$21$$	$$x$$	$$35$$

Direct and Inverse Proportions Test - 11

Result

Direct and Inverse Proportions Test - 11

Score

-

Rank

-

SHARING IS CARING

Question 1

Length of edge of square & its area

Speed and time taken

Length of edge of square & its perimeter

Quantity of pencils & total cost

Solution

Question 2

More amount of sweets, more total cost

More length of cloth, more cost

More expenditure, less saving

More height of object, more length of its shadow

Solution

Question 3

Rs. 18

Rs. 108

Rs. 200

Rs. 180

Solution

Question 4

$$5$$ oranges

$$3$$ oranges

$$7$$ oranges

$$2$$ oranges

Solution

Question 5

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 6

$$16$$

$$25$$

$$27$$

$$28$$

Solution

Question 7

$$8$$

$$10$$

$$15$$

$$20$$

Solution

Question 8

$$4$$

$$5$$

$$6$$

$$7$$

Solution

Question 9

$$Rs. 10$$

$$Rs. 8$$

$$Rs. 4$$

$$Rs. 14$$

Solution

Question 10

$$4$$

$$5$$

$$6$$

$$10$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.