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7th Grade > Mathematics

FRACTIONS AND DECIMALS MCQs

Fractions, Decimals


Total Questions : 227 | Page 18 of 23 pages
Question 171.


The value of (12)×(12)+(12)(21)×(12)×(34) is ___.


 Discuss Question
Answer: Option A. ->
:

(12)×(12)+(12)(12)+(12)×(34) = (14)+(12)1×(34) = (34)(34)=1


Question 172.


[51425×559+(12+34)] is equal to:


  1.     916
  2.     7718
  3.     2412
  4.     1224
 Discuss Question
Answer: Option B. -> 7718
:
B

Given [51425×559+(12+34)]
Apply BODMAS rule to solve


= [214(25×509)+54]


= [214(209)+54]


Taking LCM of denominators, we have


18980+4536=15436=7718
[51425×559+(12+34)]=7718


Question 173.


A person bought 312 kg of apples, 223 kg of grapes and 113 kg of oranges. He wants to divide them among 4 people. Find the amount of fruits(in kg) that each person will receive.


  1.     138 kg
  2.     158 kg 
  3.     178 kg 
  4.     278 kg 
 Discuss Question
Answer: Option C. -> 178 kg 
:
C

First, let us do the conversion of mixed fractions into improper fractions.
i.e  312=(2×3)+12=72
     
223=(3×2)+23=83, and 
     
113=(3×1)+13=43
Total quantity of fruits=(72+83+43) kg
                                     
                                      =72+4
                                      =72+82 kg
   
                                      =152 kg


When 152 kg is divided among 4 people,


each person's share =1524kg
                                 
                                  =(152×14)kg
                                  =158 kg
                                  =178 kg
Hence, each person gets (178) kg of fruits. 


Question 174.


212+213+214110×25×1256 is equals to:


  1.     5.5
  2.     6.5
  3.     7.5
  4.     8.5
 Discuss Question
Answer: Option D. -> 8.5
:
D

52+73+94110×25×1256
=851256


=8512×65
=172=8.5


Question 175.


Varun travelled 18​th of the journey which is equal to 56km on a scooter . What is the remaining distance he has to cover?


  1.     342 km
  2.     392 km
  3.     352 km
  4.     442 km
 Discuss Question
Answer: Option B. -> 392 km
:
B

Let the total distance to be covered =d km
Then, 18×d = 56km


d = (56×8)km = 448km


Remaining distance = (448 - 56)km = 392km


Question 176.


The product of two fractions is 20. If one of the fractions is 14, then the other fraction is ___.


 Discuss Question
Answer: Option B. -> 392 km
:
Let the other fraction be x
Then, x×14=20
x=20×4=80
 
Question 177.


Simplify the following expression and choose the correct answer:


0×(59×23)+56×9×0(45+35+12)


  1.     910
  2.     49
  3.     1
  4.     0
 Discuss Question
Answer: Option D. -> 0
:
D

Concentrate on numerator. The expression has '0' multiplied to it, and any number multiplied by '0' is '0'.
And 0 divided by any number always '0'.
Hence the answer is '0'.


Question 178.


A fraction is ______.


  1.     the ratio of the total number of parts to the number of parts considered.
  2.     the ratio of the number of parts considered to the total number of parts.
  3.     never a whole part
  4.     always a whole part
 Discuss Question
Answer: Option B. -> the ratio of the number of parts considered to the total number of parts.
:
B

Consider the following example.              
Suppose you have a pizza.
Divide the whole pizza into 4 parts.
Now, take 3 parts out of the 4 parts.
These 3 parts represent the fraction 3 out of 4, i.e., 34.
i.e., a fraction is the ratio of the number of divisions considered to the total number of divisions.


Question 179.



abc is called a/an ____ and is equal to ____.


  1.     proper fraction, bc
  2.     improper fraction, a÷bc
  3.     mixed fraction, a×bc
  4.     mixed fraction, a+bc
 Discuss Question
Answer: Option D. -> mixed fraction, a+bc
:
D

abc is called a mixed fraction.
Here, 'a' is whole number part and bc is the fractional part.
e.g. 234, 516


abc=a+bc
e.g:  234= 2+34
 


Question 180.


Which of the following is correct about improper fractions?


  1.     In an improper fraction, the numerator is less than denominator and numerator is greater than 0.
  2.     In an improper fraction, the numerator is always greater than the denominator.
  3.     In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.
  4.     In an improper fraction, the numerator is always equal to the denominator.
 Discuss Question
Answer: Option C. -> In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.
:
C

In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.


e.g. 61576, 94,6621 etc


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