# MATHS Practice Set

**Ratio And Proportion**

Accent Institute Hisar

**Ratio And Proportion**

**Which of the following Represent a correct proportion ?**

a) 12 : 9 : : 16 : 12

b) 13 : 11 : : 5 : 4

c) 30 : 45 : : 13 : 24

d) 3 : 5 : : 2 : 5**If 8 , x and 50 are in continued proportion , then the value of x is _____**

a) 30

b) 20

c) 5

d) 32**If A : B = 7 : 9 and B : C = 3 : 5 then A : B : C is equal to _________**

a) 7 : 9 : 5

b) 21 : 35 : 45

c) 7 : 9 : 15

d) 7 : 3 : 15**The Ratio of the length of a school ground to its width is 5 : 2 . If the width is 40 m , then the length is _______**

a) 200 m

b) 100 m

c) 50 m

d) 80 m**The ratio of the age of two person is 4 : 7 and the age of one of them is greater then that of the other by 30 years .The sum of their ages is _____**

a) 110

b) 100

c) 70

d) 40**The sum of two number is equal to 20 and their difference is 25 . the ratio of number is _**_

a) -9 : 1

b) -7 : 9

c) 3 : 5

d) 2 : 7**What number should be subtracted from both the terms of ratio 11 : 15 so as to make it as 2 : 3 ?**

a) 2

b) 3

c) 4

d) 5**There are two container of equal capacity . The ratio of milk and water in first container is 3 : 1 and in the second container is 5 : 2 . If they are mixed up , the ratio of milk to water in the mixture will be ?**

a) 28 : 41

b) 41 : 28

c) 15 : 41

d) 41 : 15**Two equal glasses filed with alcohol and water in the proportion 2 : 1 and 3 : 2 are emptied into a third glass . The proportion of alcohol and water in the third glass will be ?**

a) 13 : 17

b) 19 : 17

c) 13 : 11

d) 19 : 11**A box contain 280 coins of one rupee, 50-paise and 25-paise. The values of each king of the coins are in the ratio of 8 : 4 : 3 .Then the number of 50-paise coins is**

a) 70

b) 60

c) 80

d) 90**555 was be divided among A, B and C in the ratio of ¼ : 1/5 : 1/6 . But by mistake it was divided in the ratio 4 : 5 : 6 . The amount in excess received by c was ?**

a) 72

b) 75

c) 22

d) 52**A man divides his property so that his son’s share to his wife’s share to his daughter’s are both as ratio 3 : 1 . If the Daughter gets Rs. 10000 less than son , the value of the whole property is ?**

a) 16250

b) 16000

c) 18250

d) 17000**A policeman stars to chase a thief. When the thief goes 10 steps the policeman moves 8 step and 5 steps of the policeman are equal to 7 steps of the thief . the ratio of the speed of the policeman and the thief is**

a) 25 : 28

b) 25 : 26

c) 28 : 25

d) 56 : 25**Tom is chasing Jerry. In the same interval of time Tom jumps 8 times while Jerry jumps 6 times. But the distance covered by Tom in 7 jumps in equal to the distance covered by Jerry in 5 jumps. The ratio of speed of Tom and Jerry is**

a) 48 : 35

b) 28 : 15

c) 24 : 20

d) 20 : 21**If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?**

a) 36

b) 445

c) 15

d) 12**What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6?**

a) 12

b) 13

c) 65

d)78**Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is:-**

a) 14 : 25

b) 10 : 21

c) 12 : 23

d) 13 : 22**If two number are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers, then the sum of the two numbers is:**

a) 90

b) 50

c) 60

d) 40**If x/y = 3/4 , the ratio of (2x + 3y) and (3y – 2x) is:**

a) 2 : 1

b) 3 : 2

c) 3 : 1

d) 1 : 1**Incomes of x and y are in the ratio 4 : 3. Their expenditures are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is ?**

a) Rs.4000

b) Rs. 8000

c) Rs. 6000

d) Rs. 2000**A and B have their monthly incomes in the ratio 8 : 5 while their monthly expenditures are in the ratio 5 : 3, If they have saved Rs. 12,000 and 10,000 monthly respectively, then the difference in their monthly incomes is**

a) Rs. 46000

b) Rs. 52000

c) Rs. 42000

d) Rs. 44000**In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After few days, 30 girls joined the school but few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is**

a) 76

b) 84

c) 86

d) 74**If (x**^{3 }– y^{3}) : (x^{2}+ xy + y^{2}) = 5 : 1 and (x^{2}– y^{2}) : (x – y) = 7 : 1, then the ratio 2x : 3y equals

a) 3 : 2

b) 2 : 3

c) 4 : 3

d) 4 : 1**If A : B = 1/2 : 1/3. B : C = 1/5 : 1/3, then (A+B) : (B+C) is equal to**

a) 5 : 8

b) 15 : 16

c) 9 : 10

d) 6 : 15**In a library the ratio of story books and other books is 7 : 2 and there are 1512 story books. Due to collection of some more story books the said ratio becomes 15 : 4. The number of story books collected is**

a) 108

b) 205

c) 100

d) 97**In 2 kg mixture of copper and aluminium, 30% is copper. How much aluminium powder should be added to the mixture so that the quantity of copper becomes 20%?**

a) 900 gms

b) 800 gms

c) 1000 gms

d) 1200 gms**A bag contains coins of Rs. 1, 50 paise and 25 paise in the ratio 2 : 3 : 5. If the total value of these coins is Rs. 228, then the number of 50 paise coins in that bag was**

a) 144

b) 124

c) 112

d) 96**Divide 27 into two parts so that 5 times the first and 11 times the second together equals to 195. Then ratio of the first and second parts is**

a) 3 : 2

b) 17 : 10

c) 2 : 7

d) 5 : 4**A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5 : 2. The quantity of milk in the mixture is:**

a) 16 litres

b) 25 litres

c) 32.5 litres

d)22.75 litres**The sides of a triangle are in the ratio of 7 : 9 : 12. The difference between the lengths of largest and smallest sides is 15 cm. The length of the largest sides would be:**

a) 36cm

b) 12 cm

c) 60 cm

d) 24cm**Answers**

**1.a**

**2.b**

**3.c**

**4.b**

**5.a**

**6.a**

**7.b**

**8.d**

**9.d**

**10.c**

**11.a**

**12.a**

**13.c**

**14.d**

**15.d**

**16.b**

**17.d**

**18.d**

**19.c**

**20.b**

**21.c**

**22.a**

**23.d**

**24.b**

**25.a**

**26.c**

**27.a**

**28.b**

**29.b**

**30.a**