NCERT MCQ Questions for Class 6 Maths Chapter 12 Ratio and Proportion with Answers. MCQ Questions for Class 6 Maths with Answers were prepared based on the latest exam pattern. We have provided Knowing Our Numbers Class 6 Maths MCQs Questions with Answers to help students understand the concept very well
MCQ
Question 1.
The cost of a pen is ₹ 10. The cost of a penci 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.
Answer
Answer: (a)
Hint:
10 = 5 × 2
Question 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.
Answer
Answer: (a)
Hint:
80000 = 2 × 40000
Question 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.
Answer
Answer: (a)
Hint:
2030 = 23 = 2 : 3
Question 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.
Answer
Answer: (a)
Hint:
2525+25 = 2550 = 12 = 1 : 2
Question 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.
Answer
Answer: (b)
Hint:
150120 = 1512 = 54 = 5 : 4
Question 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.
Answer
Answer: (a)
Hint:
50,0003,00,000 = 16 = 1 : 6
Question 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.
Answer
Answer: (b)
Hint:
62 = 31 = 3 : 1
Question 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.
Answer
Question 9.
The ratio 40 cm to 1 m is
(a) 2:5
(b) 3:5
(c) 4:5
(d) 5:2.
Answer
Answer: (a)
Hint:
1 m = 100 cm
40100 = 25 = 2 : 5
Question 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.
Answer
Answer: (a)
Hint:
48 = 12 = 1 : 2
Question 11.
Which of the following ratios is equivalent to 2:3?
(a) 4:8
(b) 4:9
(c) 6:9
(d) 6:12.
Answer
Answer: (c)
Hint:
2 : 3 = 23 = 2×33×3 = 69 = 6 : 9
Question 12.
Which of the following ratios is not equiva-lent to 10:5?
(a) 1:2
(b) 2:1
(c) 20:10
(d) 30:15.
Answer
Answer: (a)
Hint:
10 : 5 = 105 = 10÷55÷5 = 21 = 2 : 1
20 ÷ 10 = 2010 = 20÷1010÷10 = 21 = 2 : 1
30 ÷ 15 = 3015 = 30÷1515÷15 = 21 = 2 : 1
Important Questions
Question 1.
Find the ratio of 75 cm to 1.5 m.
Solution:
The given numbers are not in the same units. So, converting them into same units.
1.5 m = 1.5 x 100 cm = 150 cm
[∵ 1 m = 100 cm]
∴ The required ratio is 75 cm : 150 cm.
∴ Required ratio = 1 : 2
Question 2.
Give two equivalent ratios of 3 : 5.
Solution:
Thus, 9 : 15 and 6 : 10 are the two equivalent ratios of 3 : 5.
Question 3.
Fill in the blank box.
Solution:
Question 4.
Check whether the given ratios are equivalent or not. 27, 621
Solution:
∴ They are equivalent ratios.
Question 5.
Divide 60 in the ratio of 2 : 3.
Solution:
Sum = 2 + 3 = 5
∴ First part = 25 x 60 =24 5
∴ Second part = 35 x 60 =36 5
Thus, the required two parts = 24 and 36.
Question 6.
Find the ratio of the following:
(a) 56 to 63.
(b) 55 to 120.
Solution:
Question 7.
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.
Solution:
Total money deposited = ₹ 2050
Amount of money withdrawn = ₹ 410
Amount of money left in the bank = ₹ 2050 – ₹ 410 = ₹ 1640
(a) Ratio of money withdrawn to the total money deposited
∴ Required ratio = 1 : 5
(b) Ratio of money withdrawn to the money left in the bank
∴ Required ratio = 1 : 4
Question 8.
There are 180 students in a class. Number of girls are 75. Find the ratio of the girls to the number of boys.
Solution:
Total number of students = 180
Number of girls = 75
Number of boys = 180 – 75 = 105
∴ Ratio of number of girls to the number of boys
Required ratio = 5 : 7
Ratio and Proportion Class 6 Extra Questions Short Answer Type
Question 9.
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?
Solution:
Here, sum of ratios = 2 + 7 + 1 = 10
∴ Total quantity of green paint = 64 litres
Quantity of blue paint = 210 x 64 = 12.8 litres
Therefore, the required blue paint = 12.8 litres.
Question 10.
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.
Solution:
(a) Number of squares = 2
Number of triangles = 3 2
∴ Ratio = 23 or 2 : 3
(b) Number of circles = 3
Number of rectangles = 3
∴ Ratio = 33 or 1 : 1
Question 11.
In each of the following figures, find the ratio of the shaded region to the unshaded region.
Solution:
(a) Number of shaded parts = 4
Number of unshaded parts = 12
Required ratio = 1 : 3
(b) Number of shaded parts = 2
Number of unshaded parts = 4
Required ratio = 1 : 2
Question 12.
Are 20, 25, 12, 15 in proportion?
Solution:
We have 20, 25, 12, 15
Product of extremes = 20 x 15 = 300
Product of middles = 25 x 12 = 300
Since both the products are same.
∴ The four numbers 20, 25, 12, 15 are in proportion.
Question 13.
The first, second and fourth terms in a proportion are 32, 112, 217 respectively. Find the third term.
Solution:
Let the third term be x.
∴ 32, 112, x and 217 are in proportion.
∴ 32 : 112 :: x : 217
Thus, the third term = 62.
Question 14.
Find the value of x, if
(а) 8, x, x, 50 are in proportion.
(b) 36, 90, 90, x are in proportion.
Solution:
(a) Since 8, x, x, 50, are in proportion.
∴ x × x = 8 × 50
⇒ x2 = 400
∴ x = 20
(b) Since 36, 90, 90, x are in proportion.
∴ 36 × x = 90 × 90
⇒ x = 90×9036 = 225
∴ x = 225
Question 15.
The cost of 10 tables is ₹ 7500. Find the number of tables that can be purchased with ₹ 9000.
Solution:
Number of tables purchased in ₹ 7500 = 10
Number of tables purchased in ₹ 1 = 107500
∴ Number of tables purchased in ₹ 9000
= 10×90007500 = 12
Question 16.
39 packets of 12 pens each costs ₹ 374.40. Find the cost of 52 packets of 10 pens each.
Solution:
Number of pens in 1 packet = 12
Number of pens in 39 packets = 12 x 39 = 468
Number of pens in 1 packet = 10
Number of pens in 52 packets = 10 x 52 = 520
Now cost of 468 pen = ₹ 374.40
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