Ratio Test

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Ratio Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Increase 2800 in the ratio 5:9 and then decrease the resulting number in the ratio 12:5 .

A
2100

B
2300

C
2400

D
1800

Solution

Given quantity = 2800
The increased quantity = 9/5 x 2800
9 x 560
= 5040
Now Decrease 5040 in the ratio 12:5.
5/12 x 5040
5 x 420
= 2100
Question 2
1 / -0

Express 4 kilometres : 600 metres in its simplest form :

A
35:5

B
40:6

C
20:15

D
44:8

Solution

Given
4 km: 600 m
4 km = 4 × 1000 m = 4000 m
[∵ 1 km = 1000 m]
This can be written as
4000 m / 600 m
= 40 m / 6 m
= 40 : 6
Hence, 40 m: 6 m is the simplest form of 4 km: 600 m
Question 3
1 / -0

Divide 234 into four parts in the ratio 3:4:5:6

A
35, 56, 61 and 82

B
43, 48, 69 and 74

C
33, 58, 67 and 76

D
39, 52, 65 and 78

Solution

Given
Number = 234
Ratio = 3: 4:5:6
Hence, the sum of ratio is calculated as follows
Sum of ratios = 3 + 4 + 5 + 6
= 18
First divide = 3 / 18 × 234
= 39
Second divide = 4 / 18 × 234
= 52
Third divide = 5 / 18 × 234
= 65
Fourth divide = 6/18 x 234
78
Therefore, 234 can be divided into 39, 52, 65 and 78 according to the ratio 3: 4:5:6
Question 4
1 / -0

A ratio Equivalent to 4 : 9 is

A
16 : 27

B
20 : 36

C
16 : 36

D
16 : 36

Solution

5:7
= 4/9 x 4/4 = 16/36
Question 5
1 / -0

Reduce 2 hour 40 min: 4 hours to its lowest terms.

A
5:7

B
4:5

C
2:3

D
3:5

Solution

Given 2 hour 40 min: 4 hours
We know that,
1 hour = 60 minutes
Hence, we can convert hour into minutes as:
2 hour = 2 × 60 minutes = 120 minutes
4 hours = 4 × 60 minutes = 240 minutes
So, the above expression can be written as follows:
(120 + 40) minutes / 240 minutes = 160 / 240
On further calculation, we get
= 4 / 6
= 2: 3
∴ The ratio of 2 hour 40 minutes: 4 hours will be 2: 3
Question 6
1 / -0

Decrease 588 in the ratio 14:5 . Choose the correct answer from the options given below.

A
210

B
238

C
180

D
158

Solution

Given ratio = 14:5
The decreased quantity = 5/14 x given quantity .
5/14 x 588
5 x 42
= 210
Question 7
1 / -0

Total number of students in a college are 5200. 1760 are girls and the rest are boys. Find the ratio of boys to the total number of students

A
42:56

B
43:65

C
24:29

D
47:65

Solution

Total students = 5200
Number of girls = 1760
Number of boys = 5200 – 1760
= 3440
Ratio of boys to the total number of student = 3440:5200
= 3440/5200
= 43:65
Question 8
1 / -0

Increase 136 in the ratio 4:7 . Choose the correct answer from the options given below.

A
248

B
338

C
138

D
238

Solution

Given ratio = 4:7
The increased quantity = 7/4 x 136.
7 x 34 = 238
Question 9
1 / -0

Which ratio is smaller 9 : 14 or 11 : 24 ?

A
9:14 > 11:24

B
9:14 > 11:24

C
9:14 = 11:24

D
None of the above.

Solution

9 : 14 or 11 :24
The above expression can be written as follows:
9/ 14 or 11 / 24
⇒ 9 × 24 or 14 × 11
⇒ 216 or 154
We know that, 154 is smaller than 216
Therefore 11 : 24 is smaller
Question 10
1 / -0

A park is 100 m long and 40 m wide. Find the ratio of its width to its length.

A
3:5

B
4:5

C
3:7

D
2:5

Solution

Given
Width of the park = 40 m
Length of the park = 100 m
Ratio of its width to its park = 40: 100
On further simplification, we get
= 40 / 100
= 2 / 5
= 2: 5
Hence, the ratio of its width to its length is 2: 5
Question 11
1 / -0

A bike travels 90 km in 2 hours and a car travels 560 km in 7 hours. Find the ratio of speed of car to speed of bike.

A
2:5

B
9:7

C
15:4

D
16:9

Solution

Given
Total distance travelled by a bike = 90 km
Time taken by bike = 2 hours
Total distance travelled by car = 560 km
Time taken by car = 7 hours
We know that,
Speed = distance / time
Hence,
Speed of a bike = 90 km / 2 hr
= 45 km / hr
Speed of a car = 560 km / 7 hr
= 80 km / hr
Thus, ratio of speed of car to speed of bike will be
80: 45 = 80 / 45
We get
= 16 : 9
Question 12
1 / -0

Two numbers are in the ratio 7: 5. If the smaller number is 450, find the larger number.

A
630

B
500

C
480

D

700

Solution

Given
Two numbers are in the ratio = 7: 5
Smaller number = 450
Now, let us assume that the larger number is 7x and the smaller number is 5x
Therefore, the larger number = (7 × 450) / 5
= 630
Hence, the larger number = 630
Question 13
1 / -0

Rs 780 is to be divided between Rahul and Gopal in the ratio 7: 5. How much does each one of them get ?

A
Rahul = 455 , Gopal = 325

B
Rahul = 400 , Gopal = 380

C
Rahul = 645 , Gopal = 225

D
Rahul = 450 , Gopal = 350

Solution

Given
Total amount = Rs 780
Amount divided between Rahul and Gopal in the ratio = 7: 5
Hence,
The sum of ratio is as follows:
Sum of ratio = 7 + 5
= 12
Hence, Rahul’s and Gopal’s share will be as follows:
Rahul’s share = (780 × 7) / 12
= Rs 455
Gopal’s share = (780 × 5) / 12
= Rs 325
Therefore, Rahul get Rs 455 and Gopal get Rs 325
Question 14
1 / -0

The angles of a triangle XYZ are in the ratio 4: 5: 9. Find the smallest angle of the triangle.

A
45⁰

B
40⁰

C
30⁰

D
30⁰

Solution

Given
Ratio = 4: 5: 9
We know that
Sum of angles of a triangle = 180⁰
Sum of ratios = 4 + 5 + 9
= 18
Hence, the angles are calculated as
Smallest angle = 4 / 18 × 180⁰
= 4 × 10
= 40⁰
Question 15
1 / -0

In a library , the books with red cover and that with white cover are in the ratio 4:5. If there are 264 books with red cover then the number of books with white cover is ?

A
340

B
260

C
330

D
280

Solution

Let the number of white covor books be x.
Red cover books are 264
Ratio of red cover to white cover books = 4:5
So, 264:x = 4:5
264/x = 4/5
X = (264 x 5)/4
X = 66 x 5
X = 330
Question 16
1 / -0

The monthly profit of a shopkeeper is Rs 42,000 and his monthly expenditure is Rs 16,500. Find the ratio of his profit to expenditure.

A
28:11

B
26:15

C
15:22

D
14;9

Solution

Given
The monthly profit of a shopkeeper = Rs 42, 000
Monthly expenditure = Rs 16, 500
Ratio of Profit to expenditure will be as given below
42, 000: 16,500 = 42, 000 / 16,500
On simplification, we get
= 420 / 165
= 28 / 11
= 28 : 11
∴ The ratio between profit and expenditure is 28: 11
Question 17
1 / -0

There are 350 employees in a company. Out of 350 , 140 employees are female and the rest are male employees. Find the ratio of female to male employees in the company.

A
2:5

B
2:3

C
7:5

D
5:4

Solution

Total employees = 350
Female employees = 140
So male employees = 350- 140 = 210
Ratio of female to male = 140 : 210
140/210
14/21
= 2 : 3
Question 18
1 / -0

Aman gets a pocket money of Rs. 1250 weekly from his parents. His weekly expenses are Rs. 450 and he saves the rest of the amount. What is the ratio of his savings of two weeks to his pocket money of two weeks.

A
14:17

B
16:25

C
15:19

D
16:27

Solution

Pocket money of two weeks = 1250 x 2 = 2500
Expenses of two weeks = 450 x 2 = 900
Savings of two weeks = 2500 – 900 = 1600
Ratio of his savings of two weeks to his pocket money of two weeks = 1600:2500
1600/2500
16:25
Question 19
1 / -0

Which ratio is greater:
(i)4 :13 or 3 : 7

A
4:13 = 3:7

B
4:13 < 3:7

C
4:13 > 3:7

D
None of the above.

Solution

Given
4 / 13 or 3 / 7
The above expression can be written as follows:
4/ 13 or 3 / 7
= 4 × 7 or 13 × 3
= 28 or 39
We know that 39 is greater than 28
Therefore 3 : 7 is greater
Question 20
1 / -0

Mr. Manish divides Rs 72000 among his three children Dinesh, Rohan and Sunita in such a way that Dinesh gets three times what Rohan gets and Rohan gets two times what Sunita gets. Find the share of Dinesh

A
48000

B
54000

C
47000

D
38000

Solution

Given
Amount = Rs 72000
Let the share of Sunita = 1
Share of Rohan is 2 times of Sunita
Hence, share of Rohan becomes = 2
Share of Dinesh is 3 times of Rohan
Hence, share of Dinesh becomes = 3 × 2
= 6
Ratio = 1: 2: 6
Thus, sum of ratios = 1 + 2 + 6
= 9
Share of Dinesh = 6 / 9 × 72000
= 6 × 8000
= Rs 48000

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Ratio Test - 1

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Ratio Test - 1

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SHARING IS CARING

Question 1

2100

2300

2400

1800

Solution

Question 2

35:5

40:6

20:15

44:8

Solution

Question 3

35, 56, 61 and 82

43, 48, 69 and 74

33, 58, 67 and 76

39, 52, 65 and 78

Solution

Question 4

16 : 27

20 : 36

16 : 36

16 : 36

Solution

Question 5

5:7

4:5

2:3

3:5

Solution

Question 6

210

238

180

158

Solution

Question 7

42:56

43:65

24:29

47:65

Solution

Question 8

248

338

138

238

Solution

Question 9

9:14 > 11:24

9:14 > 11:24

9:14 = 11:24

None of the above.

Solution

Question 10

3:5

4:5

3:7

2:5

Solution

Question 11

2:5

9:7

15:4

16:9

Solution

Question 12

630

500

480

700

Solution

45⁰

40⁰

30⁰

30⁰