Menu
Popular Courses
Search

7th Grade > Mathematics

FRACTIONS AND DECIMALS MCQs

Fractions, Decimals


Total Questions : 227 | Page 20 of 23 pages
Question 191.


Express 3460 grams in kilograms.
Now express 1712 kg in grams. [2 MARKS]


 Discuss Question
Answer: Option A. ->
:

In kilograms: 1 Mark
In grams: 1 Mark
1 Kilogram = 1000 grams
Or 1 gram=11000 kilograms
Let x kilograms = 3460 g

=(34601000) kilograms
= 3.460 kilograms
3460 grams = 3.460 kilograms
Now 1712 kg=17×2+12
=34+12
=352 kg
=352×1000 gms
=(35×500) gm
=17500 gms


Question 192.


Kartik ate 35 part of an apple and Bharat ate the remaining part of the apple. What fraction of the apple did Bharat eat? Who had the larger share and by how much? [2 MARKS]


 Discuss Question
Answer: Option A. ->
:
Each answer: 1 Mark
Given that:
Fraction of the apple Kartik ate =35
Fraction of the apple uneaten =135
=535
=25
This part was eaten by his brother Bharath
Bharath ate 25th part of the apple.
Comparing two fractions we have
35&25
Clearly 35>25
Karthik had the larger share which was larger by 3525=15.
Question 193.


How much less is 18km compared to 29000 metres ? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Conversion Formula: 1 Mark
Steps: 1 Mark
Answer: 1 Mark
We know that
1 km=1000 m
Converting kilometers into meters
we have 
18 km = 18×1000=18000 metres


Difference = 29000-18000


                     =11000 metres


                    Or


 29000 metres= 29 km


 Difference     = 29-18


                         =11 km


Question 194.


Given that length of a side of an equilateral triangle is 3.4m. Find its perimeter in cm? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Conversion Formula: 1 Mark
Steps: 1 Mark
Answer: 1 Mark
In an equilateral triangle, all the sides are equal.


Let the side of an equilateral triangle be=  a cm   where a= 3.4 m  ( given)


 Now  Perimeter =  a+ a+a=(3a) m


 = (3)*(3.4)


  =10.2m 
Hence perimeter of the equilateral triangle = 10.2m. 
Now, 1 m= 100cm
10.2m=10.2×100 = 1020 cm.
Hence, the perimeter of the triangle is 1020 cm.


Question 195.


Mohan finished colouring a picture in 712 hour. Keerthi finished colouring the same picture in 34 hour. Who worked longer? By what fraction was it longer? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:
Steps: 2 Mark
Answer: 1 Mark
Given that
Mohan finishes the work in 712 of an hour.
Also given that
Keerthi finishes the work in 34 of an hour.
Now, 712 of an hour
712×60 minutes
35 mins
Again
34 of an hour
34×60
45 minutes
Clearly, Keerthi worked more by 45 - 35 = 10 more minutes.
Now, when expressed as a fraction
1060=16 of an hour.
Alternative Way
Method II
Now, 712 and 34
Making them Like fractions we have
7×112×1 & 3×34×3
i.e. 712<912
Clearly, Keerthi who takes 34th of an hour takes longer than Mohan who takes 712th of an hour.
So, subtracting we have
912712=212=16 of an hour.
Question 196.


A circle is divided into 8 equal parts. Given that the area of the shaded portion is 104 m2. Find the area of the unshaded part of the circle.


A Circle Is Divided Into 8 Equal Parts. Given That The Area ...
[4 MARKS]

 


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Application: 1 Mark
Result: 1 Mark
Given that
Area of the shaded portion = 104 m2


The circle is divided into 8 equal parts


Area of the circle = (8)×104


                           = 20 m2
Area of unshaded part = Total area - shaded area
                                      = 20 - 104 m2
                                      = 80104m2
                                      = 704 = 17.5 m2
Hence, area of the unshaded portion is 17.5 m2


Question 197.


In cricket, run rate is defined as the number of runs scored divided by the number of overs bowled. Team 'A' scores 260 runs in 50 overs batting first. The other team batting second scores at half the run rate of the team batting first and plays entire 50 overs. How many runs did the team batting second score? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 1 Mark
Application: 1 Mark
Answer: 1 Mark
Given that
Team 'A' scored 260 runs in 50 overs. 
So, run rate of the team batting first =(260/50)


= 5.2 runs per over
The team batting second scored at half the run rate of the team batting first


Run rate of team the  batting second
= (5.2/2)


= 2.6 runs per over


Runs scored by the  team batting second
=(50)×(2.6)


= 130 
Hence, the team batting second scored 130 runs.


Question 198.


Express (0.8×0.7)(0.65×0.6)(0.65×0.6)(0.62×0.6) in the form of a fraction.
[4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Bodmas operation: 1 Mark
Simplifying the numerator and the denominator: 1 Mark
Answer: 2 Marks
Multiply and divide the equation by 100 

=(8×7)(6.5×6)(6.5×6)(6.2×6)
=(5639)(3937.2)
=171.8
=17018
=859


Question 199.


Add the following decimals and then express it as a fraction.
7.205, 8.012, 3.1, 4.9, 27.3, 3.0009, 8.0102. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:
Making them into like decimals: 1 Mark
Mathematical operation: 1 Mark
Fraction expression: 2 Marks
Now converting the decimals given into like decimals and adding it.
0 7. 2 0 5 0
0 8. 0 1 2 0
0 3. 1 0 0 0
0 4. 9 0 0 0
2 7. 3 0 0 0
0 3. 0 0 0 9
0 8. 0 1 0 2
We get   6 1. 4 2 8 1
(II) Now,  61. 4281 can be rounded up
to 61.428
to 61. 43
to 61. 4
Now
61.4=61.4÷2100÷2=30750=6750
 
Question 200.


Anubha's father weighs 91 kg. Anubha's mother is 5 times Anubha's dog's weight. If Anubha's dog weighs 17 of Anubha's father's weight, find Anubha's mother's weight. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:
Steps: 2 Mark
Application: 1 Mark
Answer: 1 Mark
Given that
Anubha's father weighs 91 kg.
Anubha's dog's weight=17 of Anubha's father's weight
17×91
91713 kg
Anubha's Father Weighs 91 Kg. Anubha's Mother Is 5 Times Anu...
Also given
Anubha's mother's weight= 5 times Anubha's dog's weight
=5×13=65 kg
Anubha's mother weighs 65 kg.
 

Share this page with your friends!

Share this page with your friends!

Latest Videos

Chapter 1 - GLOBAL STEEL SCENARIO & INDI Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)
Direction Sense Test Part 1 Reasoning (Hindi)
Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE
Cube & Cuboid Part 1 Reasoning (Hindi)
Data Interpretation (DI) Basic Concept Reasoning (Hindi)
Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)
Real Numbers Part 7 Class 10 Maths
Real Numbers Part 1 Class 10 Maths
Polynomials Part 1 Class 10 Maths

Latest Test Papers

Chapter 3.1 : Overview of Finance & Acco Chapter 3 : Finance & Accounts SAIL E0 - GFM 2024
Chapter 2.1 : Overview Chapter 2 : Materials Management SAIL E0 - GFM 2024
Chapter 1.1 : Personnel Functions- An ov Chapter 1 : Personnel Management SAIL E0 - GFM 2024
GPOE / GPA Combined 1 Free CBT Mock Test SAIL E0 2024
CBT Mixed Test 1 GPOE/GPA SAIL E0 2024