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All questions of Fractions for CTET & State TET Exam
0.01 × 0.01 = ______.- a)0.0001
- b)0.001
- c)1
- d)0.1
Correct answer is option 'A'. Can you explain this answer?
0.01 × 0.01 = ______.
a)
0.0001
b)
0.001
c)
1
d)
0.1
 | Gauri Basak answered |
0.01 × 0.01 = 0.0001
Thus, the correct answer is Option A.
Thus, the correct answer is Option A.
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?
What is the fraction of the shaded area?
a)
1/3
b)
1/8
c)
1/4
d)
None of these
 | Abhay Sen answered |
► Total number of blocks = 8
► Number of shaded blocks = 1
► Number of unshaded blocks = 7
► 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.
Which of the following is a mixed fraction- a)1/2
- b)
- c)1/4
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
Which of the following is a mixed fraction
a)
1/2
b)
c)
1/4
d)
None of the above
| | Yashraj Ingle answered |
It is b as it has a whole number and a fraction
(1/2)x(1/5)= ____- a)1/7
- b)1/10
- c)5/2
- d)2/5
Correct answer is option 'B'. Can you explain this answer?
(1/2)x(1/5)= ____
a)
1/7
b)
1/10
c)
5/2
d)
2/5
 | Avi Khanna answered |
(1/2)x(1/5 = 1 / 10
So option B is 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?
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
 | 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.
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?
What is the fraction of the shaded area ?
a)
1/3
b)
1/4
c)
7/8
d)
None of these
 | 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?
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
| | 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 3/5 of 25- a)5
- b)10
- c)15
- d)20
Correct answer is option 'C'. Can you explain this answer?
What is 3/5 of 25
a)
5
b)
10
c)
15
d)
20
 | Jithin Chawla answered |
(3 / 5) * 25 =
15Which two fractions are equivalent?- a)1/2 and 1/3
- b)4/3 and 8/6
- c)1/4 and 1/6
- d)2/3 and 1/3
Correct answer is option 'B'. Can you explain this answer?
Which two fractions are equivalent?
a)
1/2 and 1/3
b)
4/3 and 8/6
c)
1/4 and 1/6
d)
2/3 and 1/3
 | Amit Sharma answered |
Divide whole of the fraction 8/6 by 2, we get 4/3.
Thus, the correct answer is Option B.
Thus, the correct answer is Option B.
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?
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
| | 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?
Which of the following is an improper fraction?
a)
20 / 70
b)
30 / 40
c)
50 / 20
d)
70 / 80
 | 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?
2 / 3 of 66 is:
a)
33
b)
68
c)
88
d)
44
 | 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?
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
 | 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).
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 average of 4.2, 3.8 and 7.6- a)5.2
- b)8.8
- c)6
- d)5
Correct answer is option 'A'. Can you explain this answer?
Find the average of 4.2, 3.8 and 7.6
a)
5.2
b)
8.8
c)
6
d)
5
 | Sai Kaur answered |
The average of 4.2, 3.8, 7.6
= (4.2 + 3.8 + 7.6)/3
= 5.2
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?
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
 | 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.
Apala ate 3/5 of an orange. The remaining orange was eaten by Meenu. What part of the orange was eaten by Meenu?- a)2/5
- b)1/5
- c)3/5
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Apala ate 3/5 of an orange. The remaining orange was eaten by Meenu. What part of the orange was eaten by Meenu?
a)
2/5
b)
1/5
c)
3/5
d)
None of these
 | Freak Artworks answered |
= 1- (1/5)
= (5/5) - (1/5)
= (5-1) / 5
= 4 / 5
Thus, the correct answer is Option A.
Thus, the correct answer is Option A.
5/7 ÷ 1/2 is equal to- a)5/14
- b)10/3
- c)10/7
- d)5/8
Correct answer is option 'C'. Can you explain this answer?
5/7 ÷ 1/2 is equal to
a)
5/14
b)
10/3
c)
10/7
d)
5/8
| | Rhea Khanna answered |
= 5/7 ÷ 1/2
= 5/7 x 2/1
= 10 / 7
So option C is the correct answer.
The value of 2.5 × 0.3 is : - a)0.75
- b)0.0075
- c)75.0
- d)7.5
Correct answer is option 'A'. Can you explain this answer?
The value of 2.5 × 0.3 is :
a)
0.75
b)
0.0075
c)
75.0
d)
7.5
| | Mehul Sen answered |
2.5 × 0.3 = 0.75
So option A 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?
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
 | 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?
What is 3/4 + 1/2?
a)
5/4
b)
7/8
c)
3/2
d)
1/2
 | 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.
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?
Simplify the fraction (p × q) / q. What is the result?
a)
p/q +1
b)
p/q +q
c)
p
d)
p/q +p
 | Coders Trust answered |
Step 1: Write the expression
(p × q) / q
(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).
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).
q ÷ q = 1 (since anything divided by itself is 1, except when the denominator is 0).
Step 4: Final simplification
= p × 1
= p
= 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?
When 0.232323..... is converted into a fraction, then the result is:
a)
2/9
b)
1/5
c)
23/99
d)
23/100
 | 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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