Direct And Inverse Proportions Test

Result

Direct And Inverse Proportions Test - 4

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 of the following statements is incorrect?

A
Two values are said to be in direct proportion when an increase in one results in an increase in the other.

B
If two values vary inversely with each other, then a₁b₁ ≠ a₂b₂.

C
If b is inversely proportional to a, then the equation is of the form b = k/a.

D
If b is directly proportional to a, then the equation is of the form b = ka.

Solution

(I) Two values are said to be in direct proportion when an increase in one results in an increase in the other. TRUE

(II) If two values vary inversely with each other, then a₁b₁ ≠ a₂b₂. FALSE
Reason: Whenever two values are inversely proportional to each other, then a₁b₁ = a₂b₂.

(III) If b is inversely proportional to a, then the equation is of the form b = k/a. TRUE

(IV) If b is directly proportional to a, then the equation is of the form b = ka. TRUE
Question 2
1 / -0

Directions For Questions

Read the given statement carefully and answer the question that follows.

...view full instructions

Statement: When one variable increases, the other decreases in proportion so that the product is unchanged.

Which of the following methods of proportionality is/are followed in the given statement?

A
Inverse proportion

B
Direct proportion

C
Both of these

D
None of these

Solution

In inverse proportion, x1 × y1 = x2 × y2
Question 3
1 / -0

Which of the following are not in inverse proportion?

A
The number of workers on a job and the time to complete the job

B
The length of the journey by a bus and the price of the ticket

C
The time taken for a fixed journey and the speed of the vehicle

D
The population of a country and the area of land per person

Solution

When the length of the journey by a bus increases, then the price of the ticket also increases.
Question 4
1 / -0

A person earns an interest of Rs. 82 on the principal of Rs. 2400. What amount of interest will he earn if the principal is Rs. 240?

A
Rs. 8.2

B
Rs. 9.8

C
Rs. 10

D
Rs. 11.9

Solution

Let the interest be Rs. Y.

Principal 2400 240

Interest 82 Y

The more the principal, the more the interest. So, both are directly proportional to each other.

We know that the two quantities, x and y, are said to be in direct proportion if they increase or decrease together in such a manner that the ratio of their corresponding
values remains constant.

So, we can say that
2400 × Y = 240 × 82
Y = Rs. 8.2
Question 5
1 / -0

In a class, 4 erasers are given to 6 students on sharing basis. How many students are there in the class if 18 erasers are distributed in total?

A
22

B
27

C
32

D
35

Solution

Let the number of students be Y.

Number of Erasers 4 18

Number of Students 6 Y

The more the number of students, the more the number of erasers we need. So, both are directly proportional.

We know that the two quantities, x and y, are said to be in direct proportion if they increase or decrease together in such a manner that the ratio of their corresponding
values remains constant.

4 × Y = 6 × 18
Y = 27

There are 27 students.
Question 6
1 / -0

In a hostel, food is prepared to feed 250 guests for 20 days. If 50 of them leave the hostel and rent an apartment, then how long would this food last?

A
25 days

B
20 days

C
18 days

D
15 days

Solution

Let Y be the number of days the food will last after 50 guests leave.

Guests 250 200

Days 20 Y

This is a case of inverse proportion because as the number of guests decreases, the number of days increases.

We know that the two quantities, x and y, are said to be in inverse proportion, if an increase in x causes a proportional decrease in y and vice-versa, in such a manner that the product of their corresponding values remains constant.

So, we can say that
250 × 20 = 200 × Y

Y = 25

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Principal	2400	240
Interest	82	Y

Number of Erasers	4	18
Number of Students	6	Y

Guests	250	200
Days	20	Y

Direct And Inverse Proportions Test - 4

Result

Direct And Inverse Proportions Test - 4

Score

-

Rank

-

SHARING IS CARING

Question 1

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

If two values vary inversely with each other, then a1b1 ≠ a2b2.

If b is inversely proportional to a, then the equation is of the form b = k/a.

If b is directly proportional to a, then the equation is of the form b = ka.

Solution

Question 2

Inverse proportion

Direct proportion

Both of these

None of these

Solution

Question 3

The number of workers on a job and the time to complete the job

The length of the journey by a bus and the price of the ticket

The time taken for a fixed journey and the speed of the vehicle

The population of a country and the area of land per person

Solution

Question 4

Rs. 8.2

Rs. 9.8

Rs. 10

Rs. 11.9

Solution

Question 5

22

27

32

35

Solution

Question 6

25 days

20 days

18 days

15 days

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.

If two values vary inversely with each other, then a₁b₁ ≠ a₂b₂.