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All questions of Fractions, Decimals & Percentages for ACT 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.
?
Guru reads 3/5 of a book. He finds that there are still 80 pages left to be read. What is the total number of pages in the book?
- a)100
- b)200
- c)300
- d)400
Correct answer is option 'B'. Can you explain this answer?
Guru reads 3/5 of a book. He finds that there are still 80 pages left to be read. What is the total number of pages in the book?
a)
100
b)
200
c)
300
d)
400
|
Mahesh Sen answered |
Let's denote:
- Total number of pages in the book as x
Understanding the problem:
- Guru reads 3/5 of the book.
- Remaining pages = 80
Setting up the equation:
- If Guru reads 3/5 of the book, then he has 2/5 of the book left to read.
- We know that 2/5 of the book is equal to 80 pages.
So, we can write the equation:
- (2/5) * x = 80
Solving the equation:
To find x, we can multiply both sides of the equation by 5/2:
- x = 80 * (5/2)
- x = 40 * 5
- x = 200
Therefore, the total number of pages in the book is 200.
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 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 is 1/7 of 49 litres?- a)1l
- b)5l
- c)7l
- d)6l
Correct answer is option 'C'. Can you explain this answer?
What is 1/7 of 49 litres?
a)
1l
b)
5l
c)
7l
d)
6l
|
Kavya Yadav answered |
1/7× 49 litres and 7 litres.
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
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.
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 =
15The 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.
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.
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.
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?
One side of a square 2/a ,its perimeter is
a)
4/a
b)
4/a2
c)
8/a2
d)
8/a
|
|
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.
What is the equivalent fraction of 8/11 having the numerator 40?
- a)40/11
- b)44/40
- c)40/55
- d)10/40
Correct answer is option 'C'. Can you explain this answer?
What is the equivalent fraction of 8/11 having the numerator 40?
a)
40/11
b)
44/40
c)
40/55
d)
10/40
|
Deepali desai answered |
To find the equivalent fraction of 8/11 with a numerator of 40, we need to multiply both the numerator and the denominator by the same number to maintain the ratio between them.
Let's call the number we multiply by "x".
When we multiply the numerator (8) by "x", we get 8x.
When we multiply the denominator (11) by "x", we get 11x.
Since we want the new numerator to be 40, we set up the equation:
8x = 40
To solve for x, we divide both sides of the equation by 8:
x = 40/8
Simplifying further, we get:
x = 5
Now that we know x = 5, we can find the new equivalent fraction by multiplying both the numerator and the denominator of the original fraction (8/11) by 5:
(8 * 5) / (11 * 5)
Which simplifies to:
40/55
Therefore, the equivalent fraction of 8/11 with a numerator of 40 is 40/55.
So, the correct answer is option C.
Let's call the number we multiply by "x".
When we multiply the numerator (8) by "x", we get 8x.
When we multiply the denominator (11) by "x", we get 11x.
Since we want the new numerator to be 40, we set up the equation:
8x = 40
To solve for x, we divide both sides of the equation by 8:
x = 40/8
Simplifying further, we get:
x = 5
Now that we know x = 5, we can find the new equivalent fraction by multiplying both the numerator and the denominator of the original fraction (8/11) by 5:
(8 * 5) / (11 * 5)
Which simplifies to:
40/55
Therefore, the equivalent fraction of 8/11 with a numerator of 40 is 40/55.
So, the correct answer is option C.
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
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.
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.
What is the sun of 34,/76 and 
- a)
- b)
- c)
- d)412/120
Correct answer is option 'B'. Can you explain this answer?
What is the sun of 34,/76 and
a)
b)
c)
d)
412/120
|
Anushka Kaur answered |
To find the sum of 
find the L.C.M. of the denominators and then add them. L.C.M. of 4, 5 and 6 is 60. 
find the L.C.M. of the denominators and then add them. L.C.M. of 4, 5 and 6 is 60. 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
|
Swara Mehta answered |
Product of the two proper fraction is always less than each of the fractions that are multiplied.
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.
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.
Indian cricket team won 4 more matches than it lost with New Zealand. If it won 3/5 of its matches, how many matches did India play?- a)8
- b)12
- c)16
- d)20
Correct answer is option 'D'. Can you explain this answer?
Indian cricket team won 4 more matches than it lost with New Zealand. If it won 3/5 of its matches, how many matches did India play?
a)
8
b)
12
c)
16
d)
20
|
Siddharth Sharma answered |
Let the number of matches lost hex. The number of matches won = x+4.
Total matches played = x+x+4
We have, x+4 = 3/5 (2x+4) ⇒ x = 8
∴ Total matches played = 20
Total matches played = x+x+4
We have, x+4 = 3/5 (2x+4) ⇒ x = 8
∴ Total matches played = 20
Which of the following is the improper fraction form of 
- a)72/5
- b)61/5
- c)108/6
- d)85/5
Correct answer is option 'B'. Can you explain this answer?
Which of the following is the improper fraction form of
a)
72/5
b)
61/5
c)
108/6
d)
85/5
|
|
Rhea Khanna answered |
where W is the whole number, N is the numerator and D is the denominator. So,
What is the product of a fractional number and its reciprocal?- a)0
- b)same number
- c)1
- d)undefined
Correct answer is option 'C'. Can you explain this answer?
What is the product of a fractional number and its reciprocal?
a)
0
b)
same number
c)
1
d)
undefined
|
|
Amit Sharma answered |
The product of a fraction and its reciprocal is always 1.
In the case of a whole number, think of it as having a denominator of 1: The reciprocal of 5 is 1/5.
multiplying 5 and 1/5 gives 1.
Every number has a reciprocal except for 0.
What do you call the fractions which have one as the numerator?
- a)Like fractions
- b)Unlike fractions
- c)Unit fractions
- d)Equal fractions
Correct answer is option 'C'. Can you explain this answer?
What do you call the fractions which have one as the numerator?
a)
Like fractions
b)
Unlike fractions
c)
Unit fractions
d)
Equal fractions
|
|
Shivansu Kumari answered |
Yes because Like fractions are the fractions which have denominators larger than numerator. Unlike fractions are the fractions which have numerator larger than denominators. Unit fractions are the fractions having numerator 1 and equal fractions are the fractions which have 2 equal fractions.
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.
Which of the following is a proper fraction?
- a)28/15
- b)21/23
- c)16/7
- d)34/3
Correct answer is option 'B'. Can you explain this answer?
Which of the following is a proper fraction?
a)
28/15
b)
21/23
c)
16/7
d)
34/3
|
Shambavi rane answered |
**Proper Fraction**
A proper fraction is a fraction where the numerator is less than the denominator. In other words, the value of the fraction is less than 1.
Let's analyze each option:
a) 28/15: The numerator (28) is greater than the denominator (15), so this is not a proper fraction.
b) 21/23: The numerator (21) is less than the denominator (23), so this is a proper fraction.
c) 16/7: The numerator (16) is greater than the denominator (7), so this is not a proper fraction.
d) 34/3: The numerator (34) is greater than the denominator (3), so this is not a proper fraction.
Therefore, the only proper fraction among the given options is **21/23** (option B).
A proper fraction is a fraction where the numerator is less than the denominator. In other words, the value of the fraction is less than 1.
Let's analyze each option:
a) 28/15: The numerator (28) is greater than the denominator (15), so this is not a proper fraction.
b) 21/23: The numerator (21) is less than the denominator (23), so this is a proper fraction.
c) 16/7: The numerator (16) is greater than the denominator (7), so this is not a proper fraction.
d) 34/3: The numerator (34) is greater than the denominator (3), so this is not a proper fraction.
Therefore, the only proper fraction among the given options is **21/23** (option B).
What is the lowest form of 12/30 ?
- a)1/5
- b)1/2
- c)2/5
- d)6/15
Correct answer is option 'C'. Can you explain this answer?
What is the lowest form of 12/30 ?
a)
1/5
b)
1/2
c)
2/5
d)
6/15
|
Shruti singh answered |
Lowest Form of 12/30
There are multiple ways to find the lowest form of a fraction. One common method is to simplify the fraction by dividing the numerator and denominator by their greatest common factor. In this case, the lowest form of 12/30 can be found by dividing both numbers by 6, which is their greatest common factor.
Explanation:
- 12 divided by 6 is 2
- 30 divided by 6 is 5
Therefore, the lowest form of 12/30 is 2/5. This fraction is simplified as much as possible and cannot be reduced any further.
Conclusion:
The correct answer is option C, which is 2/5. This fraction represents the lowest form of 12/30, where both the numerator and denominator are divided by their greatest common factor to simplify the fraction.
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.
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?- a)37%
- b)26%
- c)43%
- d)15%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?
a)
37%
b)
26%
c)
43%
d)
15%
e)
None of these
|
Rajeev Kumar answered |
Answer – 1.37% Explanation : Students passed in Prelims = 70% Students passed in Mains = 55% Students passed in both = 62% No of students passed in at least one subject = (70+55)-62 = 63%. students failed in both subjects = 100-63 = 37%.
In a factory there are three types of bulbs L1, L2 and L3 which produces 20%, 15% and 32% of the total products respectively. L1, L2 and L3 produces 3%, 7% and 2% defective products, respectively. Find the percentage of nondefective products ?- a)46%
- b)30%
- c)53%
- d)64%
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
In a factory there are three types of bulbs L1, L2 and L3 which produces 20%, 15% and 32% of the total products respectively. L1, L2 and L3 produces 3%, 7% and 2% defective products, respectively. Find the percentage of nondefective products ?
a)
46%
b)
30%
c)
53%
d)
64%
e)
None of these
|
Faizan Khan answered |
Answer – 4.64% Explanation : (20*0.97)+(15*0.93)+(32*0.98) = 19.4+13.95+31.36
= 64.71
= 64.71
In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.- a)8/15
- b)7/15
- c)4/5
- d)1/5
Correct answer is option 'A'. Can you explain this answer?
In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.
a)
8/15
b)
7/15
c)
4/5
d)
1/5
|
Engineers Adda answered |
Assume Total no of students = 100
60% of the students are boys. so Boys=60,Girls=40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60-32=28
No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32
Fraction=(scored less)/Total boys = 32/60 =8/15
60% of the students are boys. so Boys=60,Girls=40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60-32=28
No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32
Fraction=(scored less)/Total boys = 32/60 =8/15
In which of the following fractions is the numerator greater than the denominator?- a)Like
- b)Improper
- c)Proper
- d)Mixed
Correct answer is option 'B'. Can you explain this answer?
In which of the following fractions is the numerator greater than the denominator?
a)
Like
b)
Improper
c)
Proper
d)
Mixed
|
|
Nilesh Singh answered |
Fractions with numerator greater than the denominator
When we talk about fractions, we usually have a numerator and a denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts the whole is divided into. In some cases, the numerator can be greater than the denominator. Let's explore the different types of fractions and see in which one the numerator is greater than the denominator.
1. Like Fractions:
Like fractions are fractions that have the same denominator. For example, 2/5, 3/5, and 4/5 are like fractions because they all have the same denominator, which is 5. In like fractions, the numerator cannot be greater than the denominator. Therefore, like fractions do not fulfill the condition of having the numerator greater than the denominator.
2. Improper Fractions:
Improper fractions are fractions where the numerator is greater than or equal to the denominator. For example, 7/4 and 5/3 are improper fractions because their numerators (7 and 5) are greater than their denominators (4 and 3). In the case of improper fractions, the numerator can be greater than the denominator. Therefore, the correct answer is option 'B' - Improper fractions.
3. Proper Fractions:
Proper fractions are fractions where the numerator is always less than the denominator. For example, 2/3 and 4/7 are proper fractions because their numerators (2 and 4) are less than their denominators (3 and 7). In proper fractions, the numerator cannot be greater than the denominator.
4. Mixed Fractions:
Mixed fractions are a combination of a whole number and a proper fraction. For example, 1 2/5 and 3 1/2 are mixed fractions. In mixed fractions, the numerator of the proper fraction part will always be less than the denominator.
Conclusion:
Out of the given options, the numerator can be greater than the denominator in improper fractions (option 'B'). Like fractions, proper fractions, and mixed fractions do not fulfill this condition.
When we talk about fractions, we usually have a numerator and a denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts the whole is divided into. In some cases, the numerator can be greater than the denominator. Let's explore the different types of fractions and see in which one the numerator is greater than the denominator.
1. Like Fractions:
Like fractions are fractions that have the same denominator. For example, 2/5, 3/5, and 4/5 are like fractions because they all have the same denominator, which is 5. In like fractions, the numerator cannot be greater than the denominator. Therefore, like fractions do not fulfill the condition of having the numerator greater than the denominator.
2. Improper Fractions:
Improper fractions are fractions where the numerator is greater than or equal to the denominator. For example, 7/4 and 5/3 are improper fractions because their numerators (7 and 5) are greater than their denominators (4 and 3). In the case of improper fractions, the numerator can be greater than the denominator. Therefore, the correct answer is option 'B' - Improper fractions.
3. Proper Fractions:
Proper fractions are fractions where the numerator is always less than the denominator. For example, 2/3 and 4/7 are proper fractions because their numerators (2 and 4) are less than their denominators (3 and 7). In proper fractions, the numerator cannot be greater than the denominator.
4. Mixed Fractions:
Mixed fractions are a combination of a whole number and a proper fraction. For example, 1 2/5 and 3 1/2 are mixed fractions. In mixed fractions, the numerator of the proper fraction part will always be less than the denominator.
Conclusion:
Out of the given options, the numerator can be greater than the denominator in improper fractions (option 'B'). Like fractions, proper fractions, and mixed fractions do not fulfill this condition.
In a class of 60 students , 40% of the students passed in Reasoning, 5% of the students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only in Quants?
- a)17
- b)33
- c)23
- d)37
Correct answer is option 'B'. Can you explain this answer?
In a class of 60 students , 40% of the students passed in Reasoning, 5% of the students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only in Quants?
a)
17
b)
33
c)
23
d)
37
|
Crack Gate answered |
Total students=60
Failed in both=5% of 60=3
Passed in both=20% of 60=12
Passed in reasoning=50% of 60=24
Those passed only in reasoning =24-12=12 students.
Passed only in Quants=60-(12+12+3)=33
Failed in both=5% of 60=3
Passed in both=20% of 60=12
Passed in reasoning=50% of 60=24
Those passed only in reasoning =24-12=12 students.
Passed only in Quants=60-(12+12+3)=33
A got 30% of the maximum marks in an examination and failed by 10 marks. However, B who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?- a)65
- b)75
- c)80
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
A got 30% of the maximum marks in an examination and failed by 10 marks. However, B who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
a)
65
b)
75
c)
80
d)
None of these
|
|
Engineers Adda answered |
(30/100)*T = P -10
(40/100)*T = P + 15
U will get P = 85
(40/100)*T = P + 15
U will get P = 85
Alisha goes to a supermarket and bought things worth rupees 60, out of which 40 paise went on sales tax. If the tax rate is 10 percent, then what was the cost of tax free items?- a)54.60
- b)55.60
- c)56.60
- d)57.60
Correct answer is option 'B'. Can you explain this answer?
Alisha goes to a supermarket and bought things worth rupees 60, out of which 40 paise went on sales tax. If the tax rate is 10 percent, then what was the cost of tax free items?
a)
54.60
b)
55.60
c)
56.60
d)
57.60
|
Niharika Basu answered |
Calculation of Tax-Free Items Cost:
Explanation:
- Total cost of items = Rs. 60
- Sales tax = 40 paise
- Tax rate = 10%
Step 1: Calculate the total tax amount
- Tax rate = 10%
- Total cost of items = Rs. 60
- Tax amount = 10% of Rs. 60 = Rs. 6
Step 2: Convert the tax amount to paise
- 1 Rupee = 100 paise
- Rs. 6 = 6 * 100 = 600 paise
Step 3: Calculate the tax-free items cost
- Total cost of items = Rs. 60 = 6000 paise
- Sales tax = 40 paise
- Total tax amount = 600 paise
- Cost of tax-free items = Total cost of items - Total tax amount
- Cost of tax-free items = 6000 paise - 600 paise = 5400 paise = Rs. 54
Therefore, the cost of the tax-free items is Rs. 54.60, which is option 'B'.
Explanation:
- Total cost of items = Rs. 60
- Sales tax = 40 paise
- Tax rate = 10%
Step 1: Calculate the total tax amount
- Tax rate = 10%
- Total cost of items = Rs. 60
- Tax amount = 10% of Rs. 60 = Rs. 6
Step 2: Convert the tax amount to paise
- 1 Rupee = 100 paise
- Rs. 6 = 6 * 100 = 600 paise
Step 3: Calculate the tax-free items cost
- Total cost of items = Rs. 60 = 6000 paise
- Sales tax = 40 paise
- Total tax amount = 600 paise
- Cost of tax-free items = Total cost of items - Total tax amount
- Cost of tax-free items = 6000 paise - 600 paise = 5400 paise = Rs. 54
Therefore, the cost of the tax-free items is Rs. 54.60, which is option 'B'.
Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?- a)900kg
- b)850kg
- c)920kg
- d)960kg
Correct answer is option 'D'. Can you explain this answer?
Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?
a)
900kg
b)
850kg
c)
920kg
d)
960kg
|
Sharmila Bajaj answered |
Calculation:
To find the total weight of the dry fruits when they were fresh, we can use the concept of water content in fresh and dry fruits.
Given:
Water content in fresh fruits = 75%
Water content in dry fruits = 20%
Weight of dry fruits = 300 kg
Let x be the total weight of the fresh fruits.
Calculating the weight of water in dry fruits:
Water content in dry fruits = 20%
Weight of dry fruits = 300 kg
Water content = 20% of 300 kg = 0.20 * 300 kg = 60 kg
Calculating the weight of water in fresh fruits:
Water content in fresh fruits = 75%
Weight of water in fresh fruits = 75% of x
Weight of water in fresh fruits = 0.75 * x
Since the weight of water in dry fruits is the same as the weight of water in fresh fruits:
0.75 * x = 60 kg
x = 60 kg / 0.75
x = 80 kg
Therefore, the total weight of the dry fruits when they were fresh was 80 kg or 800 kg.
Therefore, the correct answer is option D) 960 kg.
To find the total weight of the dry fruits when they were fresh, we can use the concept of water content in fresh and dry fruits.
Given:
Water content in fresh fruits = 75%
Water content in dry fruits = 20%
Weight of dry fruits = 300 kg
Let x be the total weight of the fresh fruits.
Calculating the weight of water in dry fruits:
Water content in dry fruits = 20%
Weight of dry fruits = 300 kg
Water content = 20% of 300 kg = 0.20 * 300 kg = 60 kg
Calculating the weight of water in fresh fruits:
Water content in fresh fruits = 75%
Weight of water in fresh fruits = 75% of x
Weight of water in fresh fruits = 0.75 * x
Since the weight of water in dry fruits is the same as the weight of water in fresh fruits:
0.75 * x = 60 kg
x = 60 kg / 0.75
x = 80 kg
Therefore, the total weight of the dry fruits when they were fresh was 80 kg or 800 kg.
Therefore, the correct answer is option D) 960 kg.
Chapter doubts & questions for Fractions, Decimals & Percentages - Mathematics for ACT 2025 is part of ACT exam preparation. The chapters have been prepared according to the ACT exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for ACT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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