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All questions of Fractions for SSS 1 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.

A __________ is a fraction that represents a part of a whole.
  • a)
    proper fraction
  • b)
    improper fraction
  • c)
    mixed fraction
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Kavya Rane answered
In a fraction a/b, a is called the numerator and b is called the denominator. A fraction is a way to represent parts of a whole. The denominator b represents the number of equal parts the whole has been divided into, and the numerator a represents how many parts are included.
A fraction in which numerator is less than denominator is called proper fraction, means a fraction that is less than 1.
example: 1/2, 1/4, 3/8 etc.

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

Tarun Sharma answered
Explanation:

When two proper fractions are multiplied, the result is always less than each of the fractions that are multiplied. This can be explained using the following points:

1. Proper fractions are those fractions whose numerator is less than the denominator.

2. When two proper fractions are multiplied, the resulting fraction has a numerator which is the product of the numerators of the two fractions and the denominator is the product of the denominators of the two fractions.

3. Since the numerator and denominator of each fraction are positive integers, the product of the numerators and the product of the denominators are both positive integers.

4. When we compare the product of the two fractions with each of the fractions that are multiplied, we can see that the product is always less than each of the fractions.

5. This is because the numerator of the product is the product of the numerators of the two fractions, which is always less than each of the numerators, and the denominator of the product is the product of the denominators of the two fractions, which is always greater than each of the denominators.

6. Therefore, the product of two proper fractions is always less than each of the fractions that are multiplied.

Conclusion:

Hence, option 'C' is the correct answer as the product of two proper fractions is always less than each of the fractions that are multiplied.

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?

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.

Reciprocal of 7/2 is _____
  • a)
    7/2
  • b)
    2/7
  • c)
    3/7
  • d)
    None of  these
Correct answer is option 'B'. Can you explain this answer?

The reciprocal of 7/2 is 2/7. In general, the reciprocal of a fraction simply interchanges the numerator and denominator of the fraction. In other words, the reciprocal of a fraction a/b is b/a.

If 2494 ÷ 14.5 = 172, then 24.94 ÷ 1.45 = ?
  • a)
    0.172
  • b)
    1.72
  • c)
    17.2
  • d)
    172
Correct answer is option 'C'. Can you explain this answer?

- Given that 2494 ÷ 14.5 = 172
- To find 24.94 ÷ 1.45, we need to move the decimal point one place to the right for both numbers
- This gives us 249.4 ÷ 14.5
- Dividing 249.4 by 14.5 gives us 17.2
- Therefore, the answer is 17.2

Multiply 2.05 and 1.3.
  • a)
    2.885
  • b)
    2.665
  • c)
    2.675
  • d)
    2.691
Correct answer is option 'B'. Can you explain this answer?

Anita Menon answered
When you multiply 2.05 by 1.3 you get 2.665 , because there are three decimal places.

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. 

(1/3) of 3 is ____
  • a)
    2
  • b)
    1
  • c)
    3
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Varun Kapoor answered
(⅓) of 3 means 1/3 * 3 = 1.
∵ 3 in numerator and denominator cancels out.

What decimal of an hour is a second ?
  • a)
    .0025
  • b)
    .0256
  • c)
    .00027
  • d)
    .000126
Correct answer is option 'C'. Can you explain this answer?

There are 60 seconds in a minute, and 60 minutes in an hour.

So, Required decimal = 1/(60 x 60) = 1/3600 = 0.00027

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. 

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?

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.

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. 

In a proper fraction, the numerator is ________ the denominator.
  • a)
    Less than
  • b)
    Greater than
  • c)
    Similar
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Advait Pillai answered
In a proper fraction, the numerator is always less than the denominator.
Examples of proper fractions include: 
1/2, 9/13 and 1/1001.

What is the sun of 34,/76  and 
  • a)
  • b)
  • c)
  • d)
    412/120
Correct answer is option 'B'. Can you explain this answer?

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 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.

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?

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.

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