Sail E0 Webinar

6th Grade > Mathematics

RATIO AND PROPORTION MCQs

Total Questions : 95 | Page 4 of 10 pages
Question 31. Utkarsh pays ₹ 7500 house rent for 3 months. How much does he pay annually?
  1.    ₹ 25,000
  2.    ₹ 30,000
  3.    ₹ 35,000
  4.    ₹ 40,000
 Discuss Question
Answer: Option B. -> ₹ 30,000
:
B
As Utkarshpays 7500 for three months.
His monthly rent is

75003=2500
Hence annually, he has to pay
2500×12
=
30,000
Question 32. If the cost of 7 m cloth is 714, then then find the cost of 21 m of cloth.
  1.    ₹2142
  2.    ₹2140
  3.    ₹2148
  4.    ₹2146
 Discuss Question
Answer: Option A. -> ₹2142
:
A
The cost of one metre of cloth would be
7147.
Hence 21 m of cloth would cost
7147×21=2142
Question 33. In a class, there are 30 boys and 60 girls. What is the ratio of boys to the total number of students in the class? 
  1.    1:2
  2.    2:1
  3.    1:3
  4.    3:1
 Discuss Question
Answer: Option C. -> 1:3
:
C
The number of boys in the class is 30 and number of girls in the class is60.
Total number of students is equal to 30 + 60 = 90.
Ratio of number of boys to the total number of students is equal to 3090=30÷3090÷30=13=1:3
Question 34. Ratio is a method of comparison of similar quantities by using ________.
  1.    addition
  2.    multiplication
  3.    subtraction
  4.    division
 Discuss Question
Answer: Option D. -> division
:
D
The ratio is a method in which we compare the two similar quantities by dividing them and check how muchone value contains or is contained within the other.
Question 35. A father wants to divide ₹ 1800 among his sons in the ratio of their ages. If one son is 12 years old and the other is 15 years old, then their respective shares would be
  1.    ₹ 800, ₹ 1000
  2.    ₹ 500, ₹ 700
  3.    ₹ 300, ₹ 600
  4.    ₹ 1200, ₹ 1500
 Discuss Question
Answer: Option A. -> ₹ 800, ₹ 1000
:
A
The ratio of their ages is 12: 15 or 4 : 5.
So, the money has to be divided in the ratio 4 : 5.
Let theshares be 4x and 5x respectively.
Now, 4x+5x=9x
Thus, 9x=1800x=200
Hence, the sharefor the 12 year old son is
4x= 4×200= ₹ 800
The sharefor the 15year old son is
5x= 5×200= ₹ 1000
Question 36. The method of finding the value of required number of units after calculating the value of one unit, is known as:
  1.    Ratio method
  2.    Proportion method
  3.    Unitary method
  4.    Percantage method
 Discuss Question
Answer: Option C. -> Unitary method
:
C
The unitary method is a method in which we find the value of one unit (by division) and calculatethe value of multiple units using the single unit (by multiplication).
Question 37. A bus travels 500 km with 70 litres of petrol. Find the distance covered by the bus with 7 litres of petrol.
  1.    30 km
  2.    40 km
  3.    50 km
  4.    60 km
 Discuss Question
Answer: Option C. -> 50 km
:
C
The bus travels 500 km with 70 litres of petrol.
Hence, with one litre it can travel

50070km.
with7 litres, the bus will cover a distance of
50070×7=50km
Question 38. The ratio of areas of a circular and rectangular field is 1:2. Find the area of the rectangular field if the area of a circular field is 50 m2.
  1.    25 m2
  2.    50 m2
  3.    100 m2
  4.    75 m2
 Discuss Question
Answer: Option C. -> 100 m2
:
C
The ratio of areas of a circular and rectangular field is 1:2, which implies that the area of the rectangular field is twicethe area of the circular field.
Given, area of circular field is 50m2.
Area of the rectangular field
=2×50=100m2
Question 39. (a) The ratio of 20 minutes to 2 hrs.
(b) Find x if 5:4::125:x
[2 MARKS]
 Discuss Question

:
Each Option: 1 Mark
(a) 2hrs=60×2=120 minutes (1 hr = 60 minute)
Ratio of 20 minutes to 2 hrs = 20:120 =1:6
[ Remember that for taking ratio unit of both quantitiesshould be same ]
(b)5:4::125:x54=125x
54=125x
45=x125
x=125×45=25×4
x=100
Question 40. Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per over and what is the ratio of their total runs made?  [3 MARKS]
 Discuss Question

:
Steps: 2 Marks
Answer: 1 Mark
Number of runs made by Anish in 6 overs
= 42
Number of runs made by Anup in 7 overs
= 63
Number of runs made by Anish in 1 overs
= 426 = 7
Number of runs made by Anup in 1 overs
= 637 = 9
Therefore, Anup made more runs per over.
Ratio of their runs made
AnishAnup=4263=232:3

Latest Videos

Latest Test Papers