Ratio And Proportion Test

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Ratio And Proportion Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Two ratios with different numbers can be considered as the same, if they are _____________ fractions.

A
equivalent

B
common

C
similar

D
None of the above

Solution

Two ratios with different numbers can be considered as same, if they are equivalent fractions.
Equivalent fractions are fractions that look different, but show exactly the same amount.
Question 2
1 / -0

If 100 is divided into two parts in the ratio of 13 : 12, then the difference between those two parts is

A
3

B
4

C
5

D
6

Solution

Let the first part be 13x and second part be 12x.
Therefore, 13x + 12x = 100
25x = 100
x = 4
Required difference = (13x - 12x) = x = 4
Question 3
1 / -0

What are the values of A and B, respectively?

7 : 3 = 35 : A = B : 600

A
15, 1400

B
150, 140

C
15, 140

D
None of the above

Solution

Considering first two ratios, we can notice that

7 x A = 35 x 3

So, A =

Similarly, taking last and first ratio, we get

7 x 600 = B x 3

B =

So, A = 15 and B = 1400.
Question 4
1 / -0

a, b, c and d are four different numbers and ab = cd. Then, how can we represent them in the proportion equation?

A
a : d = c : b

B
a : b = c : d

C
a : b = b : c

D
None of the above

Solution

ab = cd
=
a : d = c : b
Question 5
1 / -0

What is the ratio of the shaded part in the following image?

A

B

C

D
None of the above

Solution

There are 20 total boxes.
Only 4 are fully shaded, 4 are half shaded, and 1 is one-fourth shaded.
So, ratio in its simplest form would be =
Question 6
1 / -0

Three friends P, Q and R share candies in the ratio . What is the share of R, if the total number of candies is 5680?

A
1136

B
2356

C
2272

D
None of the above

Solution

Total number of candies = 5680

Let the share of P be .
Share of Q =
Share of R =

Then, according to the question:

x = 4544
Now, share of R =
Question 7
1 / -0

If x : 300 = 5 m : 10 km, then what should be the value of x?

A
0.3

B
0.2

C
0.15

D
None of the above

Solution

So, x × 10, 000 = 300 × 5
or,
Question 8
1 / -0

Which of the following ratios is equal to 17 : 7 in its simplest form?

A

B

C

D
None of the above

Solution

Getting the options reduced to simplest form,

Option 1:

Option 2:

Option 3:
Question 9
1 / -0

What is the ratio for the coloured part to the uncoloured part in the following image?

A
8 : 17

B
10 : 17

C
8 : 25

D
None of the above

Solution

There are a total of 25 squares.
Out of which, 8 are coloured.
Thus, 25 - 8 = 17 are not coloured.
So, the ratio of coloured to uncoloured = 8 : 17
Question 10
1 / -0

If m : n = 5 : 4, then find (3m + n) : (m + 3n).

A
19 : 17

B
21 : 17

C
19 : 21

D
None of the above

Solution

m : n = 5 : 4 means 4m = 5n
or, m = ......(1)
Now, [3m + n] : [m + 3n]
From (1), [3() + n] : [+ 3n]
= [] : []
= 19 : 17
Question 11
1 / -0

____ is a method of comparing two quantities by division.

A
Multiplication

B
Integers

C
Ratio

D
Comparison

Solution

Ratio is a method of comparing two quantities by division. A ratio is a comparison of two similar quantities, hence it does not have any units. It will remain unchanged, if both the antecedent and the consequent are multiplied and divided by the same non-zero multiplier.
Question 12
1 / -0

A car travels 100 km in 2.5 hours. How much time is required to cover 250 km with the same speed?

A
6.25 hours

B
5.75 hours

C
5.25 hours

D
4.75 hours

Solution

Car travels 100 km in 2.5 hours.
Speed of the car =
Since, speed of car is same, ' where x is time required to cover 250 km with same speed.
Solving, x = 6.25 hrs
Question 13
1 / -0

In the word CHAMPIONSHIP, the ratio of number of vowels to the number of consonants is

A
1 : 3

B
3 : 4

C
1 : 2

D
4 : 7

Solution

Number of vowels in CHAMPIONSHIP = 4 (i.e. A, I, O and I)
Number of consonants in CHAMPIONSHIP = 8 (i.e C, H, M, P, N, S, H and P)
Required ratio = 4 : 8 or 1 : 2
Question 14
1 / -0

How can the number 1978 be divided into three parts such that 4 times the first part, 5 times the second part and 8 times the third part are equal?

A
862, 960, 430

B
862, 690, 410

C
860, 688, 430

D
826, 690, 430

Solution

We have, 4 × First part = 5 × Second part = 8 × Third part = x
As per the question,
+ + = 1978
= 1978
23x = 79120
x = 3440

First part = 3440/4 = 860
Second part = 3440/5 = 688
Third part = 3440/8 = 430
Question 15
1 / -0

The ratio of ( of 9.60) to (0.7 of 2.50) is

A
3.8 : 4.5

B
4.5 : 3.8

C
4.8 : 3.5

D
4.9 : 3.5

Solution

( of 9.60) = 2.4
(0.7 of 2.50) = 1.75

So, required ratio is 2.4 : 1.75 or 4.8 : 3.5 (on simplifying)
Question 16
1 / -0

The ratio of volume of juice in carton V to volume of juice in carton C is 4 : 5. Aman drank 60 ml of juice from carton V and the ratio then became 14 : 25. How much juice was there in carton V initially?

A
60 ml

B
250 ml

C
200 ml

D
400 ml

Solution

Let the quantity of juice in carton V = 4x
Let the quantity of juice in carton C = 5x
As per the question,
25(4x - 60) = 14 x 5x
100x - 1500 = 70x
30x = 1500
x = 50
Quantity of juice in carton V = 4x
= 200 ml
Question 17
1 / -0

Cost of a certain lollipop is 60 paise and cost of a burger is Rs. 30. The ratio of cost of the lollipop to cost of the burger is

A
15 : 50

B
5 : 15

C
1 : 50

D
5 : 50

Solution

Cost of lollipop = 60 paise
Cost of burger = Rs. 30 or 3000 paise
Required ratio = 60 : 3000 or, 1 : 50
Question 18
1 / -0

Out of 45 employees in a firm, 20 like biking, 15 like running and the rest like walking. The ratio of number of employees who like walking to the total number of employees is

A
5 : 7

B
7 : 4

C
2 : 9

D
3 : 7

Solution

Total number of employees = 45
Number of employees who like biking = 20
Number of employees who like running = 15
Number of employees who like walking = 45 - 20 - 15 = 10

Required ratio = 10 : 45 or 2 : 9
Question 19
1 / -0

In a cinema hall, there are 480 seats. On the premier of a movie, 360 people show up to watch the movie. Ratio of seats not filled to the total seats is

A
4 : 2

B
4 : 1

C
1 : 4

D
2 : 4

Solution

Out of 480, 360 seats are filled.
Number of seats that are empty = 480 - 360
= 120
Required ratio = 120 : 480
or, 1 : 4
Question 20
1 / -0

In an interview selection process, the ratio of people selected to those who are not selected is 7 : 2. If 28 people are selected, then the number of people who are not selected is

A
19

B
8

C
6

D
7

Solution

Given, ratio of selected to unselected people = 7 : 2

ATQ, number of people selected = 28
So, number of people unselected =
Therefore, 8 people are not selected.
Question 21
1 / -0

Marks of Sam and Robin are in the ratio of 5 : 3. If Sam has 150 more marks than Robin, then calculate the marks of Robin.

A
175

B
205

C
225

D
235

Solution

Let Sam's marks be 5x.
Let Robin's marks be 3x.
ATQ,
5x = 150 + 3x
5x - 3x = 150
2x = 150
x = 75
Robin's marks = 75 × 3 = 225
Question 22
1 / -0

Sam's piggy bank contains some 50 pence, 10 pence and 5 pence coins in the ratio 4 : 3 : 2. If total money in the piggy bank is 480 pence, find the total number of coins.

A
16

B
18

C
21

D
25

Solution

Let the number of 50 pence coins, 10 pence coins and 5 pence coins be 4x, 3x and 2x, respectively.
According to the question,
4x × 50 + 3x × 10 + 2x × 5 = 480
200x + 30x + 10x = 480
240x = 480
x = 2
Number of 50 pence coins = 4 × 2 = 8
Number of 10 pence coins = 3 × 2 = 6
Number of 5 pence coins = 2 × 2 = 4
Total number of coins = 8 + 6 + 4 = 18
Question 23
1 / -0

Anu and Shilpa divide some artificial pearls in the ratio 7 : 5, respectively. If Shilpa's share was 70, then find the total number of pearls.

A
168

B
175

C
178

D
185

Solution

Anu's share = 7x
Shilpa's share = 5x
ATQ, Shilpa's share = 70
So, 5x = 70
x = 70 ÷ 5
x = 14
Anu's share = 7 × 14 = 98
Therefore, total number of pearls = 98 + 70 = 168
Question 24
1 / -0

Rs. 864 were spent to buy 12 notebooks. How many notebooks can be bought for Rs. 216?

A
7

B
6

C
5

D
3

Solution

Cost of 1 notebook = Rs. 864 ÷ 12 = Rs. 72
So, number of books purchased for Rs. 216 = 216/72 = 3
Question 25
1 / -0

210 boxes of fireworks are divided between brothers Raman and Danny in the ratio 8 : 6. Find the number of firework boxes that Raman will get.

A
102

B
120

C
126

D
132

Solution

Let Raman's share = 8x
So, Danny's share = 6x
From question,
8x + 6x = 210
14x = 210
x = 15
So, Raman's share = 15 × 8 = 120
Question 26
1 / -0

Total income of P, Q and R is Rs. 5,43,618 altogether. Q's income is double that of P. R's income is three times that of Q. What is P's income?

A
Rs. 60,402

B
Rs. 50,282

C
Rs. 40,360

D
Rs. 39,460

Solution

From question, assume the income of P, Q and R to be x, 2x and 6x respectively.
According to question,
x + 2x + 6x = 5,43,618
9x = 5,43,618
x = Rs. 60,402
Question 27
1 / -0

Brothers Sahib, Sahil, Ravi and Gautam have a total amount of Rs. 2,409, which they divide among each other such that

.

^{Then, Sahil's share is}

A
Rs. 1,536

B
Rs. 1,400

C
Rs. 1,369

D
Rs. 1,200

Solution

Let Sahil's share be x.
Therefore, Sahib's share =
Ravi's share =
Gautam's share =
According to question,

x = Rs. 1,536
Question 28
1 / -0

If p : q = r : s, then mp - nr : mq - ns is equal to

A

B

C

D
Both (1) and (3)

Solution

Let

So, p = qy, r = sy

Therefore,

= =
Question 29
1 / -0

Directions: Study the given information carefully and choose the correct option.

(Note: T = true and F = false)

(A) 15 min : 60 min = 3 min : 12 min
(B) The ratio of 1 day to 24 hours is 1 : 1.
(C) The first term in a ratio is called consequent.

A
(A) - T, (B) - T, (C) - F

B
(A) - F, (B) - T, (C) - F

C
(A) - T, (B) - F, (C) - F

D
(A) - T, (B) - T, (C) - T

Solution

1. When we simplify , we get

2. As 1 day = 24 hours
Therefore, 24 : 24 = 1 : 1

3. The first term in a ratio is called antecedent.

Question 30

1 / -0

Directions: Match the following.

(A) The second term of a ratio	(i) Equivalent fractions
(B) The method of comparing two numbers	(ii) Consequent
(C) Two fractions whose value is the same	(iii) Ratio

(A) - (ii), (B) - (iii), (C) - (i)

(A) - (i), (B) - (iii), (C) - (ii)

(A) - (ii), (B) - (i), (C) - (iii)

(A) - (iii), (B) - (i), (C) - (ii)

Solution

1. The second term of a ratio is called consequent.
2. The method of comparing two numbers is called ratio.
3. When two fractions with same value are simplified, then they are called equivalent fractions.

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Ratio And Proportion Test - 8

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Ratio And Proportion Test - 8

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SHARING IS CARING

Question 1

equivalent

common

similar

None of the above

Solution

Question 2

3

4

5

6

Solution

Question 3

15, 1400

150, 140

15, 140

None of the above

Solution

Question 4

a : d = c : b

a : b = c : d

a : b = b : c

None of the above

Solution

Question 5

None of the above

Solution

Question 6

1136

2356

2272

None of the above

Solution

Question 7

0.3

0.2

0.15

None of the above

Solution

Question 8

None of the above

Solution

Question 9

8 : 17

10 : 17

8 : 25

None of the above

Solution

Question 10

19 : 17

21 : 17

19 : 21

None of the above

Solution

Question 11

Multiplication

Integers

Ratio

Comparison

Solution

Question 12

6.25 hours

5.75 hours

5.25 hours

4.75 hours

Solution

Question 13

1 : 3

3 : 4

1 : 2

4 : 7

Solution