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Test: Comparing Quantities


15 Questions MCQ Test NCERT Mathematics for CAT Preparation | Test: Comparing Quantities


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Attempt Test: Comparing Quantities | 15 questions in 10 minutes | Mock test for Class 7 preparation | Free important questions MCQ to study NCERT Mathematics for CAT Preparation for Class 7 Exam | Download free PDF with solutions
QUESTION: 1

Find the ratio of 3 km to 300 m.

Solution:

First convert both the distance to the same unit 
So 3 km = 3×1000m
              = 3000 m
Thus the required ratio, 3 km : 300 m is 3000 : 300 = 10 : 1

QUESTION: 2

A map is given with a scale of 2 cm = 1000 km. What is the actual distance between the two places in kms, if the distance in the map is 2.5 cm?

Solution:

Since 2 cm = 1000km
1 cm = 500km
2.5cm = 500*2.5
           =1250km

So option C is the correct answer

QUESTION: 3

6 bowls cost Rs 90. What would be the cost of 10 such bowls?

Solution:

6 bowls cost Rs.90
so 1bowl cost 90/6=Rs.15
cost of 10 bowls=10×15=Rs.150

So option A is the correct answer. 

QUESTION: 4

The car that I own can go 150 km with 25 litres of petrol. How far can it go with 30 litres of petrol?
Solution:

Distance covered with 25 litres of petrol = 150 Km

Distance covered with 30 Litres of petrol= 150/25 × 30 = 180 Km (Using Unitary Method)

QUESTION: 5

The ratio of 90 cm to 1.5 m is
Solution:

So option C is the correct answer. 

QUESTION: 6

A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are 18 in number. The ratio of the number of girls to the number of boys in the class is
Solution:

Let total students be x
60/100* x = 18
x = 30
boys = 30−18 = 12
ratio of girls/ ratio of boys = 18 /12 = 3/2

So option C is the correct answer. 

QUESTION: 7

Find the ratio of Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.
Solution:

Speed of cycle = 15km/hr
Speed of scooter = 30km/hr
Ratio = cycle/scooter
= 15/30
= 1/2

So option C is the correct answer. 
 

QUESTION: 8

Find the ratio of 5 m to 10 km.
Solution:

Ratio of 5m to 10km is

10km = 10000m

5 : 10000

1 : 2000

So option C is the correct answer. 

QUESTION: 9

Find the ratio of 50 paise to Rs 5.
Solution:

Explanation 

we have to find 50 Paisa to 5 rupees

we know that 1 rupee = 100 Paisa

therefore 5 rupees = 100 × 5 = 500 Paisa

hence ratio between them :-

=> 50 : 500

=> 1 : 10

So option B is the correct answer. 

QUESTION: 10

72% of 25 students are good in Mathematics. How many are not good in Mathematics?
Solution:

Number of students good in Math = 

So, number of students not good in Math = 

QUESTION: 11

Convert 1/8 to percent
Solution:

⅛*100=½*25=12.5%. For fraction to percentage , we multiply the fraction by 100

QUESTION: 12

What is  75% of 1 kg
Solution:

  75% of 1kg

= 75/100 x 1000

= 750 

So option C is the correct answer. 

QUESTION: 13

What will be  5% to fractions in simplest form?
Solution:

 5% can be written as  5 / 100 = 1/20

So option D is the correct answer.  

QUESTION: 14

 Find the ratio of 15 kg to 210 g
Solution:

We know that 1kg = 1000 g

Given, 15kg  = 15000 g

15kg to 210g = 15000 : 210

                      = 15000/210
         
                      = 500 : 7.

QUESTION: 15

Convert 20% to fractions in simplest form will be 
Solution:

We know 20% can be written as : 

20 / 100 = 1 / 5

So option D is the correct answer. 

 

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