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All questions of Fractions for CTET & State TET Exam

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.

 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.

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. 

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. 
 

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. 

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. 

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. 

The product of two proper fractions is ........ than each of the fractions that are multiplied 
  • a)
    greater 
  • b)
    less
  • c)
    equal
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Chirag Yadav answered
Explanation:
When we multiply two proper fractions, the resulting fraction will always be smaller than each of the fractions that were multiplied. This is because when we multiply two fractions, we are essentially dividing the denominator into smaller parts, which results in a smaller overall value.

For example, let's consider two proper fractions: 1/2 and 2/3. The product of these two fractions is (1/2) x (2/3) = 2/6, which simplifies to 1/3. We can see that 1/3 is smaller than both 1/2 and 2/3.

Therefore, the correct answer is option B (less).

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.
 

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?

Rohini Seth answered
  • Price per pound of apples = $1.29
  • Weight of apples = 3 pounds
  • Price per pound of bananas = $0.79
  • Weight of bananas = 5 pounds
Total cost = Cost of apples + Cost of bananas =3.87+3.95
Therefore, the total cost of the fruits is $7.82.

What is 3/4 + 1/2?
  • a)
    5/4
  • b)
    7/8
  • c)
    3/2
  • d)
    1/2
Correct answer is option 'A'. Can you explain this answer?

Naina verma answered
Understanding the Problem
To solve the addition problem of fractions, we need a common denominator.
Identifying the Fractions
- We have 3/4 and 1/2.
- The denominators are 4 and 2.
Finding the Common Denominator
- The least common multiple (LCM) of 4 and 2 is 4.
- This means we will convert 1/2 into a fraction with a denominator of 4.
Converting 1/2
- To convert 1/2 to a denominator of 4, we multiply both the numerator and denominator by 2.
- This gives us: 1/2 = (1 × 2) / (2 × 2) = 2/4.
Adding the Fractions
- Now we can add 3/4 and 2/4 since they have the same denominator:
- 3/4 + 2/4 = (3 + 2) / 4 = 5/4.
Final Answer
- The sum of 3/4 + 1/2 is 5/4.
- Therefore, the correct answer is option 'A' (5/4).
Conclusion
- When adding fractions, always find a common denominator.
- Convert fractions if necessary, then add them together.
- In this case, we found that the addition of 3/4 and 1/2 equals 5/4.

Simplify the fraction (p × q) / q. What is the result?
  • a)
    p/q +1
  • b)
    p/q +q
  • c)
    p
  • d)
    p/q +p
Correct answer is option 'C'. Can you explain this answer?

Coders Trust answered
Step 1: Write the expression
(p × q) / q
Step 2: Apply the division rule
Dividing by q means we can cancel q from both the numerator and the denominator (only if q ≠ 0).
So: (p × q) / q = p × (q ÷ q)
Step 3: Simplify q ÷ q
q ÷ q = 1 (since anything divided by itself is 1, except when the denominator is 0).
Step 4: Final simplification
= p × 1
= p
 

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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