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7th Grade > Mathematics

FRACTIONS AND DECIMALS MCQs

Fractions, Decimals


Total Questions : 227 | Page 16 of 23 pages
Question 151. Which one of the following lies between 0.3 and 0.7?
  1.    0.2
  2.    0.4
  3.    0.8 
  4.    0.9 
 Discuss Question
Answer: Option B. -> 0.4
:
B
Consider 0.9, it is greater than 0.7 as well as 0.3, hence it cannot lie between 0.3 and 0.7. Similarly,0.2 and 0.8 cannot lie between 0.3 and 0.7.
But, 0.4is greater than 0.3 and less than 0.7. Hence, it lies between 0.3 and 0.7.
OR
0.2 has 2 tenths, 0.3 has 3 tenths, 0.4 has 4 tenths, 0.7 has 7 tenths, 0.8 has 8 tenths and 0.9 has 9 tenths.
2 tenths<3 tenths<4 tenths<7 tenths<8 tenths<9tenths
0.2<0.3<0.4<0.7<0.8<0.9
Thus, 0.4 lies between 0.3 and 0.9.
Question 152. Which of the following fraction will give non-terminating decimal on conversion?
  1.    83
  2.    38
  3.    12
  4.    714
 Discuss Question
Answer: Option A. -> 83
:
A
Among the options, only 83 is the fractionwhich will give non-terminatingdecimal. This is because all other options have denominator having on 2 and 5 as prime factors after standardising.
Question 153. If ₹ 70 is distributed equally among 40 poor children, how much will each child get?
  1.    ₹17.5
  2.    ₹1.75
  3.    ₹2.80
  4.    ₹ 3.20
 Discuss Question
Answer: Option B. -> ₹1.75
:
B
Amount each child will get =Total moneyNumber of children=7040=74=7×254×25=175100=1.75
So, each child will get ₹1.75.
Question 154. 59.365 + 362.58 + 64.187 = ______.
  1.    468.123
  2.    486.322
  3.    486.122 
  4.    486.132 
 Discuss Question
Answer: Option D. -> 486.132 
:
D
Addition should be done as follows:
59.365
+ 362.580
+ 64.187
486.132
So, the answer is 486.132.
Question 155. Find which of the following are the pairs of like fractions:
1. 4560 and 4590
2. 157 and 957
3. 117 and 99937
4. 32 and 23
  1.    1, 2 and 3    
  2.    2 and 3   
  3.    1 and 3  
  4.    2, 3 and 4    
 Discuss Question
Answer: Option B. -> 2 and 3   
:
B
For like fractions, the denominators should be the same.
Question 156. Between 58 and 118, how many fractions lie on the number line?
  1.    5
  2.    6
  3.    7
  4.    Infinite  
 Discuss Question
Answer: Option D. -> Infinite  
:
D
There are infinite fractions on a number line. The two fractions given in the question are two points on the number line. Between these two points, there exists infinite points.So, infinite fractions exist between two points on a number line.
Question 157. If you subtract 1553 from 1732, you will get 
  1.    156
  2.    167
  3.    176
  4.    186
 Discuss Question
Answer: Option A. -> 156
:
A
Let us first convert the mixed fractions 1553and 1732 to improper fractions.
i.e., 1553=15×3+53=503and 1732=17×2+33=372
Now, 17321553=372503=1111006=116=156
Question 158. If a train consists of 24 compartments of equal length (including the engine car), then the length of one compartment is 124 of the full length of the train
  1.    True
  2.    False
  3.    2007
  4.    2017
 Discuss Question
Answer: Option A. -> True
:
A
Let us take the full length of the train as L.
24 compartments---------------L
1 compartment--------------=124×L
Question 159. There are  40 animals in a zoo out of which 10 animals have been recently transferred from another zoo. What is the fraction of animals that were already present at the zoo?
  1.    14
  2.    24
  3.    34
  4.    44
 Discuss Question
Answer: Option C. -> 34
:
C
Old animals = 40 - 10 = 30
Fraction of old animals presently in the zoo =3040=34
Question 160. In a 5 km marathon, Manish ran 2 km. If Kushagra ran 12 of the total distance of the marathon, who ran more?
  1.    Kushagra
  2.    Manish
  3.    Both covered the same distance  
  4.    Insufficient data
 Discuss Question
Answer: Option A. -> Kushagra
:
A
Total distance to be covered = 5 km
Distance covered by Manish = 2 km
Fraction of the distance covered by Manish
=25
Fraction of the distance covered by Kushagra =12
To compare these fractions, we write them as like fractions.
25=2×25×2=410
12=1×52×5=510

Since 410<510,
25<12
Therefore, Kushagra ran more.

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