Ratio And Proportion Test

Result

Ratio And Proportion Test - 7

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

If four numbers a, b, c and d are in proportion, then the numbers a and d are known as

A
extremes

B
means

C
proportionals

D
adjacents

Solution

If 4 numbers are in proportion, it means a : b : : c : d.
Here, b and c are means.
a and d are extremes.
Question 2
1 / -0

If 84 is divided into two parts in the ratio of 4 : 3, then what will be the difference between the two numbers?

A
6

B
8

C
10

D
12

Solution

Let numbers be 4x and 3x.
4x + 3x = 84
7x = 84
x = 12
First number = 4 x 12 = 48
Second number = 3 x 12 = 36
Difference = 48 - 36 = 12
Question 3
1 / -0

If a : b = b : c, then which of the following equations is true?

A
b² = ac

B
c² = ab

C
a² = bc

D
None of them

Solution

Whenever a : b = b : c, we have:

(Middle number)²= First number x Last number

b² = ac
Question 4
1 / -0

What is the ratio of shaded area to unshaded area in the above figure?

A
13 : 3

B
3 : 16

C
3 : 13

D
4 : 13

Solution

Total boxes = 16.

There are 6 half-shaded boxes, which means 3 full boxes shaded.

Shaded boxes = 3.

Unshaded boxes = 16 - 3 = 13.

Ratio = 3 : 13
Question 5
1 / -0

Rs. 7076 is divided among P, Q and R in the ratio of ,and, respectively. Find their shares.

A
P - Rs. 4270, Q - Rs. 870, R - Rs. 1540

B
P - Rs. 854, Q - Rs. 1952, R - Rs. 4270

C
P - Rs. 1952, Q - Rs. 4270, R - Rs. 854

D
P - Rs. 854, Q - Rs. 1985, R - Rs. 4320

Solution

P's share =
Q's share =
R's share =

According to the question:

++ = 7076
= 7076

x =

x = 122 × 56

x = 6832
P's share == Rs. 854
Q's share = = Rs. 1952

R's share = = Rs. 4270
Question 6
1 / -0

Ifice creams : 15 ice creams = 8500 paise : Rs. 25, thenis equal to

A
51

B
50

C
49

D
48

Solution

We have:
ice creams : 15 ice creams = Rs. 85 : Rs. 25
ice creams = x 15
= 51
Question 7
1 / -0

Which of the following ratios is equal to in its simplest form?

A

B

C

D

Solution

= =
Question 8
1 / -0

Ratio of shaded part to unshaded part in the figure below is

A
54:13

B
11:54

C
11:53

D
53:11

Solution

Total boxes = 8 x 8 = 64

There are 3 fully shaded boxes and 16 half-shaded boxes or 8 fully shaded boxes.

Shaded boxes = 3 + 8 = 11

Unshaded boxes = 64 - 11 = 53

Ratio = 11 : 53
Question 9
1 / -0

If x : y = 6 : 7, then 7x + 3y : 21x + 6y is equal to

A

B

C

D

Solution

x : y = 6 : 7

7x = 6y

x =

7x + 3y : 21x + 6y

=> 7+ 3y : 21+ 6y

=> 6y + 3y : 18y + 6y

=> =
Question 10
1 / -0

When a ratio P : Q is expressed in its lowest form, HCF of P and Q is

A
0

B
1

C
2

D
3

Solution

When a ratio P : Q is expressed in its lowest form, P and Q are called co-primes and their HCF is 1.

For example - 2 : 3

Here, HCF of 2 and 3 is 1.
Question 11
1 / -0

Two quantities which are compared as a ratio must have the same _________.

A
powers

B
signs

C
units

D
multiples

Solution

In order to find the ratio of two quantities, both quantities must be expressed in the same units.

Example: Ratio between 30 cm and 2 metres = 30 cm : 200 cm [Since, 2 metres = 200 cm] = 3 : 20
Question 12
1 / -0

In the word 'ANTIBODY', what is the ratio of number of vowels to number of consonants?

A
3 : 2

B
3 : 5

C
4 : 3

D
4 : 5

Solution

Number of vowels = 3 (A, I, O)
Number of consonants = 5 (N, T, B, D, Y)
Ratio = 3 : 5
Question 13
1 / -0

Divide 182 into three parts, such that 2 times the first part = 3 times the second part = 4 times the third part.

A
84, 56, 42

B
88, 42, 52

C
82, 58, 42

D
87, 53, 42

Solution

First part x 2 = 3 x Second part = 4 x Third part = x (say)

13x = 2184

x = 168

First part = 168 ÷ 2 = 84

Second part = 168 ÷ 3 = 56

Third part = 168 ÷ 4 = 42
Question 14
1 / -0

The ratio of (of Rs. 8.40) to (0.5 of Rs. 10.2) is

A
3 : 17

B
5 : 17

C
7 : 17

D
6 : 17

Solution

of Rs. 8.40

= Rs. 2.10

0.5 of Rs. 10.2

= 10.2

= 10.2

= Rs. 5.10

Ratio = 2.10 : 5.10

= 21 : 51

= 7 : 17
Question 15
1 / -0

The ratio of chocolates in two boxes A and B is 4 : 5. Anil ate 5 chocolates from box A and then ratio became 11 : 14. How many chocolates were there in box A originally?

A
250

B
280

C
290

D
295

Solution

Let chocolates in box A and B be 4x and 5x respectively.
When 5 chocolates are eaten from box A, chocolates left in box A = 4x - 5
New ratio = 11 : 14

So,

56x - 70 = 55x
x = 70
So, there were 4 × 70 = 280 chocolates in box A.
Question 16
1 / -0

In a group of 40 people, 8 people have apple as their favourite fruit, 17 people have orange as their favourite fruit and the remaining people have grapes as their favourite fruit. What is the ratio of number of people who have grapes as favourite fruit to the total number of people?

A
3 : 8

B
5 : 8

C
7 : 8

D
4 : 9

Solution

Total number of people = 40

Number of people who like grapes = Total people - Number of people who like apple - Number of people who like orange

= 40 - 8 - 17 =15

Required ratio = 15 : 40

= 3 : 8
Question 17
1 / -0

The cost of a pizza is Rs. 80 and the cost of a burger is Rs. 40. Find the ratio of costs of 2 burgers and 3 pizzas.

A
1 : 3

B
2 : 3

C
3 : 2

D
3 : 5

Solution

Cost of 1 burger = Rs. 40

Cost of 2 burgers = 2 x 40 = Rs. 80

Cost of 1 pizza = Rs. 80

Cost of 3 pizzas = 3 x 80 = Rs. 240

Ratio = 80 : 240 = 1 : 3
Question 18
1 / -0

In a college consisting of 800 students, 525 of them are male students. Find the ratio of female students to the total number of students.

A
15 : 17

B
23 : 35

C
11 : 32

D
13 : 43

Solution

Total students = 800

Male students = 525

Female students = 800 - 525 = 275

Required ratio = 275 : 800

= 11:32.
Question 19
1 / -0

In a shop, ratio of prices of books to pencils is 7 : 1. If a student bought 3 books, and had to pay a total of Rs. 210. How much money would he have to pay for 5 pencils?

A
Rs. 20

B
Rs. 30

C
Rs. 40

D
Rs. 50

Solution

Ratio of prices of books to pencils = 7 : 1.
Let price of one book be 7 x and one pencil be x
He bought 3 books so total cost 21 x.
According to the question,
21 x = 210.
x = 10.
Price of one pencil = Rs. 10
So, price of 5 pencils = Rs. 50
Question 20
1 / -0

The price of a colours box and a white board is in the ratio 3 : 7, if the cost of the white board is Rs. 480 more than the cost of the colours box, then what is the cost of the colours box?

A
Rs. 120

B
Rs. 145

C
Rs. 152

D
Rs. 160

Solution

Let the common factor be x,

Then the cost of the colours box = Rs. 3 x.

Cost of the white board = Rs. 7 x.

According to the question, we get

7 x = 480 + 3 x.

7x - 3x = 480

4x = 480

x = Rs. 120
Question 21
1 / -0

A bag contains some blue, yellow and green marbles in the ratio 4 : 6 : 8. If the total number of marbles is 900, then find out the yellow marbles in the bag.

A
200

B
240

C
280

D
300

Solution

According to the question, we get

4x + 6x + 8x = 900
18x = 900
x = 50

So, the number of yellow marble = 6x
= = 300
Question 22
1 / -0

An amount is divided between Reenu and Meena in the ratio 5 : 3, if Reenu's share is Rs. 3500, then find out the total amount of money.

A
Rs. 4800

B
Rs. 5200

C
Rs. 5600

D
Rs. 6000

Solution

Lets Reenu's share be 5x.

Lets Meenu's share be 3x.

According to the question, Reenu's share = 5x = 3500

x = = 700

So, Meenu's share = 3x

= = 2100

Total amount = 3500 + 2100 = Rs. 5600
Question 23
1 / -0

A packet contains 12 candies, if the cost of 5 such packets is Rs. 75. Find out the number of candies that one can buy for Rs. 375.

A
200

B
300

C
400

D
500

Solution

1 packet contains 12 candies

So, 5 packets contain = 60 candies.

Cost of 60 candies = Rs. 75

Cost of 1 candy =

The candies that one can buy for Rs. 375

=

=

= = 300
Question 24
1 / -0

42 sweets are divided among two friends in the ratio 5 : 2. Find out the number of sweets that the first friend gets.

A
30

B
20

C
10

D
5

Solution

According to the question, we have

5 x + 2 x = 42

7 x = 42

x = = 6

Number of sweets that first friend gets = 5 x

= = 30
Question 25
1 / -0

An amount of Rs. 3600 is being divided between Sona, Ria and Mira in such a way that Sona gets thrice the money as Ria and Mira gets twice the money as Ria. Find out the share of Mira.

A
Rs. 2000

B
Rs. 1800

C
Rs. 1600

D
Rs. 1200

Solution

Let Ria's share = x

Let Sona's share = 3x

Let Mira's share = 2x

So, x + 2x + 3x = 3600

6x = 3600

x = = 600

So, share of Mira = 2x

= = Rs. 1200
Question 26
1 / -0

Four brothers Sahib, Sahil, Ravi and Gautam have total amount of Rs.2409 which they divided among each other?

A
Rs. 1536

B
Rs. 1400

C
Rs. 1369

D
Rs. 1200

Solution

Let Sahil's share be x

Therefore, Sahib's share be =

Ravi's share=

Gautam share=

According to question:

x=

x =

x=Rs.1536
Question 27
1 / -0

If a : b = 2:5, then what will be the value of (2a + 5b) : (5a + b).

A
2 : 3

B
23:15

C
29:15

D
31 : 7

Solution

According to the question,

=

So, Dividing the numerator and denominator by b:

=

=

=

=

=
= 29:15
Question 28
1 / -0

Which of the following statements is not true?

A
24 hours : 18 hours = 4 km : 3 km

B
28 days : 16 days = 7 m : 4 m

C
68 cm : 34 cm = 2 days : 1 day

D
84 km : 16 km = 21 days : 6 days

Solution

Statement (3) is not true.

84 : 16

=

So, 84 : 16 = 21 : 4

And the other ratio is:

21:6 = 7:2

So they both are not equal.

Question 29

1 / -0

Match the following:

Column - I	Column - II
A. Ratios of 4 blue marbles and 7 red marbles	I. 4 : 7
B. Ratios of 7 blue marbles and 4 red marbles	II. 7 : 4
C. Simplest form of 18 : 24	III. 5 : 6
D. Simplest form of 20 : 24	IV. 3 : 4

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

Solution

Option (1) is the correct.

Blue marbles : Red marbles = 4 : 7
Red marbles : Blue marbles = 7 : 4
Simplest form of 18 : 24 = 3 : 4
Simplest form of 20 : 24 = 5 : 6

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Ratio And Proportion Test - 7

Result

Ratio And Proportion Test - 7

Score

-

Rank

-

SHARING IS CARING

Question 1

extremes

means

proportionals

adjacents

Solution

Question 2

6

8

10

12

Solution

Question 3

b2 = ac

c2 = ab

a2 = bc

None of them

Solution

Question 4

13 : 3

3 : 16

3 : 13

4 : 13

Solution

Question 5

P - Rs. 4270, Q - Rs. 870, R - Rs. 1540

P - Rs. 854, Q - Rs. 1952, R - Rs. 4270

P - Rs. 1952, Q - Rs. 4270, R - Rs. 854

P - Rs. 854, Q - Rs. 1985, R - Rs. 4320

Solution

Question 6

51

50

49

48

Solution

Question 7

Solution

Question 8

54:13

11:54

11:53

53:11

Solution

Question 9

Solution

Question 10

0

1

2

3

Solution

Question 11

powers

signs

units

multiples

Solution

Question 12

3 : 2

3 : 5

4 : 3

4 : 5

Solution

Question 13

84, 56, 42

88, 42, 52

82, 58, 42

87, 53, 42

Solution

Question 14

3 : 17

b² = ac

c² = ab

a² = bc