All questions of Fractions for CTET & State TET Exam

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What is the fraction of the shaded area?
  • a)
    1/3
  • b)
    1/8
  • c)
    1/4
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Abhay Sen answered
► Total number of blocks = 8
► Number of shaded blocks = 1
► Number of unshaded blocks = 7
⇒ Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks = 1/8.
Thus, the correct answer is Option B.

What will be  the average of  0.3, 3, 0.03 , and 0.002 
  • a)
    0.833
  • b)
    0.803
  • c)
    83.3
  • d)
    833
Correct answer is option 'A'. Can you explain this answer?

Avi Khanna answered
Given numbers are :
0.3 , 3 , 0.03 and 0.002 
We know that Average =  Sum of numbers divided by total numbers
 Average = 0.3 + 3 + 0.03 + 0.002 / 4
                    = 3.332 / 4 
                    = 0.833
So, Average = 0.833 
Therefore, option A is the correct answer. 
 

What is the fraction of the shaded area ?
  • a)
    1/3
  • b)
    1/4
  • c)
    7/8
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Nabanita Patel answered
Solution:
Total number of blocks = 8
Number of shaded blocks = 7
Number of unshaded blocks = 1
Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks 
=7/8 
So option C is the correct answer. 

The result of adding the difference of 3.003 and 2.05 to their sum is 
  • a)
    6.006
  • b)
    60.06
  • c)
    600.6
  • d)
    0.6060
Correct answer is option 'A'. Can you explain this answer?

Mehul Sen answered
Given numbers are :
3.003 and 2.05
Now, Sum of numbers = 3.003 + 2.05 
                                    = 5.053
Difference of numbers = 3.003 - 2.05
                                    = 0.953
Adding the Difference of numbers to th Sum of numbers , we get 
 5.053 + 0.953 = 6.006
So option A is the correct answer. 

2 / 3 of 66 is:
  • a)
    33
  • b)
    68
  • c)
    88
  • d)
    44
Correct answer is option 'D'. Can you explain this answer?

Saikat Chawla answered
Given 2 / 3 of 66 = 2 / 3 x 66 = 44
Hence , 2/3 of 66 is 44 
So option D is the correct answer. 

Which of the following is an improper fraction?
  • a)
    20 / 70
  • b)
    30 / 40
  • c)
    50 / 20
  • d)
    70 / 80
Correct answer is option 'C'. Can you explain this answer?

Rhea Khanna answered
A fraction in which the numerator is greater than the denominator is improper fraction.
Since in the given fraction 50 / 20
50 is greater than 20. So it is an improper fraction .
So option C is the correct answer. 

One side of a square 2/a ,its perimeter is
  • a)
     4/a
  • b)
    4/a2
  • c)
    8/a2
  • d)
    8/a

     
Correct answer is option 'D'. Can you explain this answer?

Avi Khanna answered
We know, Perimeter of a square is 4a
Given, a = 2/a
So perimeter = 4a = 4 x 2/a = 8/a
So option D is the correct answer. 

Find the area of rectangle whose length is 6.7cm and breadth is 2 cm.
  • a)
    13 cm2
  • b)
    13.4 cm2
  • c)
    13.8 cm2
  • d)
    14 cm2
Correct answer is option 'B'. Can you explain this answer?

Kaavya Menon answered
Given , 
Length =  6.7 cm
Breadth = 2 cm
Area of rectangle = L X B
= (6.7 x 2 ) cm
= 13.4 cm2
So option B is the correct answer.
 

 Arrange the following in descending order:
 (2/9), (2/3), (8/21)
  • a)
    (2/3) > (8/21) > (2/9)
  • b)
    (8/21) > (2/9) > (2/3)
  • c)
    (2/9) > (2/3) > (8/21)
  • d)
    None of these 
Correct answer is option 'A'. Can you explain this answer?

Mehul Sen answered
First, we convert each fraction into a like fraction.
2/9 = (2 x 7)/(9 x 7) = 14/63
2/3 = (2 x 21)/(3 x 21) = 42/63
8/21 = (8 x 2)/(21 x 3) = 24/63.
If denominators are the same, then, greater the numerator, the greater will be the fraction.
∵ 42 > 24 > 14
⇒ (2/3) > (8/21) > (2/9)
Thus, the correct answer is Option A.

1/3 ÷ 5/3 is equal to
  • a)
    1/3 
  • b)
    5/3
  • c)
    1/5
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Khushi joshi answered
If you are referring to a fraction, then "1/3" represents one-third, which is a fraction equal to 0.33333... (repeating decimals).

A grocery store sells apples for $1.29 per pound and bananas for $0.79 per pound. If a customer buys 3 pounds of apples and 5 pounds of bananas, what is the total cost of the fruits?
  • a)
    $7.62
  • b)
    $7.82
  • c)
    $8.17
  • d)
    $8.58
Correct answer is option 'B'. Can you explain this answer?

Understanding the Problem
To find the total cost of the fruits purchased by the customer, we need to calculate the cost of apples and bananas separately and then sum them up.
Step 1: Calculate the Cost of Apples
- The price of apples is $1.29 per pound.
- The customer buys 3 pounds of apples.
Cost of Apples:
- Cost = Price per pound × Number of pounds
- Cost = $1.29 × 3 = $3.87
Step 2: Calculate the Cost of Bananas
- The price of bananas is $0.79 per pound.
- The customer buys 5 pounds of bananas.
Cost of Bananas:
- Cost = Price per pound × Number of pounds
- Cost = $0.79 × 5 = $3.95
Step 3: Calculate the Total Cost
Now, we need to add the cost of apples and the cost of bananas together.
Total Cost:
- Total Cost = Cost of Apples + Cost of Bananas
- Total Cost = $3.87 + $3.95 = $7.82
Conclusion
The total cost for the customer who bought 3 pounds of apples and 5 pounds of bananas is $7.82. Therefore, the correct answer is option 'B'.

When 0.232323..... is converted into a fraction, then the result is:
  • a)
    2/9
  • b)
    1/5
  • c)
    23/99
  • d)
    23/100
Correct answer is option 'C'. Can you explain this answer?

Wizius Careers answered
Let x = 0.23232323 ….
100 × x = 100 × 0.23232323 ….
100x = 23.23232323 ….
100x = 23 + 0.23232323 ….
100x = 23 + x
99x = 23
x = 23/99

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