Important Questions
Multiple Choice Questions:
Q.1 The cost of a pen is ₹ 10. The cost of a pencil 1 is ₹ 2. How many times of the cost of a pencil
is the cost of a pen?
(a) 5 times
(b) 2 times
(c) 10 times
(d) none of these.
Q.2 The monthly salary of Hari Kishan is ₹ 80000. The monthly salary of Manish is ₹ 40000.
How many times of the salary of Manish is the salary of Hari Kishan?
(a) 2 times
(b) 4 times
(c) 3 times
(d) 8 times.
Q.3 There are 30 boys and 20 girls in a class. The ratio of the number of girls to the
number of boys is:
(a) 2:3
(b) 3:2
(c) 2:5
(d) 3:5
Q.4 There are 25 boys and 25 girls in a class. The ratio of the number of boys to the total
number of students is
(a) 1:2
(b) 1: 3
(c) 2:3
(d) 3:2.
Q.5 The height of Apala is 150 cm. The height of Pari is 120 cm. The ratio of the height of
Apala to the height of Pari is
(a) 4:5
(b) 5:4
(c) 5:2
(d) 4:1.
Q.6 The cost of a car is ₹ 3,00,000. The cost of a motorbike is ₹ 50,000. The ratio of the cost
of motorbike to the cost of car is:
(a) 1:6
(b) 1:5
(c) 1:4
(d) 1:3.
Q.7 The speed of Shubham is 6 km per hour. The speed of Yash is 2 km per hour. The ratio of the
speed of Shubham to the speed of Yash is
(a) 2:3
(b) 3:1
(c) 1:3
(d) 3:2.
Q.8 The length and breadth of a rectangular park are 50 m and 40 m respectively. Find the ratio of the
length to the breadth of the park.
(a) 4:5
(b) 4:1
(c) 5:1
(d) 5:4.
Q.9 The ratio 40 cm to 1 m is:
(a) 2:5
(b) 3:5
(c) 4:5
(d) 5:2.
Q.10 In a family, there are 8 males and 4 females. The ratio of the number of females
to the number of males is:
(a) 1:2
(b) 1:4
(c) 1:8
(d) 2:1.
Q.11 Which of the following ratios is equivalent to 2:3?
(a) 4:8
(b) 4:9
(c) 6:9
(d) 6:12.
Q.12 Which of the following ratios is not equivalent to 10:5?
(a) 1:2
(b) 2:1
(c) 20:10
(d) 30:15.
Q.13 Find the ratio of number of circles and number of squares inside the following rectangle:
(a) 3:1
(b) 2:1
(c) 2:3
(d) 3:2
Q.14 There are 20 teachers in a school of 500 students. The ratio of the number of teachers
to the number of students is
(a) 1:20
(d) 1:50
(c) 1:25
(d) 25:1.
Q.15 The ratio of 25 minutes to 1 hour is
(a) 7:5
(b) 5:12
(c) 12:5
(d) 5:7
Match The Following:
Fill in the blanks:
1. If 4, a, a, 36 are in proportion then a is equal to ____.
2. 32 m: 64 m:: ____.
3. 5: 4 = ____.
4. If a = 2b then a: b = ____.
True /False:
1. A ratio equivalent to 3:7 is 9: 21.
2. The ratio 35: 84 in simplest form is 7: 12.
3. A ratio can be equal to 1.
4. 5: 2 = 2: 5.
Very Short Questions:
1. Find X in the proportion X: 6 = 25: 5
2. The weight of 25 copies is 5 kg. Find the weight of 30 such copies?
3. Are the following statement true? 45km: 60km = 12 hours: 15 hours.
4. Write True or False against the following statement:8: 9:: 24: 27.
5. Are the following statement true? 7.5litre: 15litre = 5kg: 10kg.
6. Write True or False against the following statement: 5.2: 3.9:: 3: 4.
7. If 2A = 3B = 4C, find A: B: C
8. Find the ratio of 75 cm to 1.5 m.
9. Give two equivalent ratios of 3: 5.
10 Fill in the blank box.
Short Questions:
1. Check whether the given ratios are equivalent or not. 2/7,6/21
2. Divide 60 in the ratio of 2: 3.
3. Find the ratio of the following:
(a) 56 to 63.
(b) 55 to 120.
4. Ramesh deposited ₹ 2050 in a bank and in the month of January he withdrew ₹ 410 from his
account on the last date of the month. Find the ratio of
(a) Money withdrawn to the total money deposited.
(b) Money withdrawn to the remaining amount in the bank.
5. There are 180 students in a class. Number of girls are 75. Find the ratio of the girls to the number of boys.
6. Green paint is made by mixing blue, yellow and white paints in the ratio 2: 7: 1. How much blue paint is
needed to make 64 litres of green paint?
7. From the figure, find the ratio of
(a) The number of squares to the number of triangles.
(b) The number of circles to the number of rectangles
Long Questions:
1. In each of the following figures, find the ratio of the shaded region to the unshaded region.
2. Are 20, 25, 12, 15 in proportion?
3. The first, second and fourth terms in a proportion are 32, 112, 217 respectively. Find the third term.
4. Find the value of x, if
(а) 8, x, x, 50 are in proportion.
(b) 36, 90, 90, x are in proportion.
5. The cost of 10 tables is ₹ 7500. Find the number of tables that can be purchased with ₹ 9000.
6. 39 packets of 12 pens each costs ₹ 374.40. Find the cost of 52 packets of 10 pens each.
Assertion and Reason Questions:
(1.) Assertion (A) – The cost of a pen is ₹ 10. The cost of 10 pens are ₹ 2.
Reason (R) – Two quantities can be compared only if they are in the same unit.
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is not the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true
(2.) Assertion (A) – The cost of a pen is ₹ 10. The cost of a pencil 1 ₹ 2.
Reason (R) – Two quantities can be compared only if they are in the same unit.
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is not the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true