Fractions Test

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Fractions Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

Which of the options (A, B, C and D) is indicated by the following figures?

A. >
B. =
C. <
D. =

A
C

B
A

C
B

D
D

Solution

Shaded portion in the first figure =
Shaded portion in the second figure =
Hence, < is true.
Question 2
1 / -0

The equivalent fractions ofare

A. , and
B. , and
C. , and
D. , and

A
B

B
A

C
C

D
D

Solution

Equivalent fractions of:
=
=
=
Option (2) is correct.
Question 3
1 / -0

Which of the following figures represents as the fraction of the shaded parts?

A
B

B
A

C
C

D
D

Solution

A. Total number of parts = 6
Number of shaded parts = 4

Fraction of shaded parts =

B. Total number of parts = 6
Number of shaded parts = 5

Fraction of shaded parts =

C. Total number of parts = 4
Number of shaded parts = 3

Fraction of shaded parts =

D. Total number of parts = 3
Number of shaded parts = 2

Fraction of shaded parts =
Question 4
1 / -0

To manufacture one metal box,kg of metal is required. Approximately how many metal boxes can be made using 35 kg of that metal?

A
5

B
15

C
20

D
25

Solution

Quantity of metal required for making one metal box
==kg
So, number of boxes that can be made from 35 kg of metal =
= 35 x = 15
Question 5
1 / -0

Arrange the following fractions in descending order and choose the correct option:

,, , ,

A. ,, , ,
B. ,, , ,
C. , , , ,
D. , , , ,

A
D

B
C

C
A

D
B

Solution

To write the fractions in descending order, we first need to make denominators the same:

LCM = 2 × 2 × 2 × 3 × 5 = 120

The denominators must be the same.

× =

× =

× =

× =

× =

Comparing the numerators of fractions:

105 > 100 > 88 > 80 > 60

Therefore, B is the correct descending order of the fractions.
Question 6
1 / -0

Find the sum of shaded fractions of the figures?

A

B

C

D

Solution

In 1^st figure:

Total number of parts = 8

Number of shaded parts = 6

Shaded fraction =
In 2^nd figure:

Total number of parts = 3

Number of shaded parts = 2

Shaded fraction =

Sum = = = =
Question 7
1 / -0

A box is full of fruits. The fruits are then put into a bag, whose capacity is twice that of the box. What fraction of the bag is filled with fruits now?

A

B

C

D

Solution

Let the capacity of box = x

Capacity of bag = 2x

Fruits in box = x
Required fraction = =
Question 8
1 / -0

How many eighths are there in+?

A
46

B
42

C
44

D
40

Solution

Changing the mixed number into an improper fraction:

=
=
Sum =+=
So, there are 44 eighths.
Question 9
1 / -0

Which of the following options is true regarding the figures given below?

Here,
A: Shaded part of 1^st figure
B: Shaded part of 2^nd figure

A
A = B

B
B > A

C
B < A

D
A ≥ B

Solution

Figure 1 has 20 parts in total and 12 out of them are shaded.

Shaded Fraction = = = 0.6

Figure 2 has 12 parts in total and 9 out of them are shaded.

Shaded Fraction = = = 0.75

Fraction 2 is bigger.

Hence, B > A.
Question 10
1 / -0

How many more equal-sized rectangular pieces are required to cover the complete figure?

A
9

B
8

C
7

D
6

Solution

Hence, 9 more rectangular pieces are required to complete the figure.
Question 11
1 / -0

What fraction of the following squares are crossed?

A

B

C

D

Solution

Total number of squares = 8

Squares that are crossed = 3

Required Fraction =
Question 12
1 / -0

What fraction of 1 m is 20 cm?

A

B

C

D

Solution

1 m = 100 cm
Required Fraction ==
Question 13
1 / -0

Which among the following is incorrect?

A.
B.
C. >
D. <

A
D

B
C

C
B

D
A

Solution

A is incorrect.

= 0.75 < 1

Hence, it is incorrect.
Question 14
1 / -0

Write the equivalent fractions represented by the shaded portions of the figures.

A

B

C

D

Solution

In 1^st figure, 2 out of 3 parts have been shaded.
In 2^nd figure, 4 out of 6 parts have been shaded.
Upon simplifying, we get.
Question 15
1 / -0

Farhan eats 2 whole apples. He divides the third apple into 6 parts and eats 4 of them. Represent the number of apples eaten by him in fraction.

A

B

C

D

Solution

Farhan eats 2 whole apples.
Fraction of the third apple eaten by him =
Total number of apples eaten by him = 2 +
== 2
Question 16
1 / -0

If , then the value of y and x, respectively, are

A. 32 and 40
B. 40 and 38
C. 28 and 32
D. 36 and 32

A
B

B
A

C
D

D
C

Solution

We have:

=

y = 36

Also:

=

x = 32
Question 17
1 / -0

Find the value of y, if y × of .

A

B

C

D

Solution

y × - of
y - × =
y = + =

y = × =
Question 18
1 / -0

Simplify.

A

B

C

D

Solution

We take the LCM of 4 and 8, which is 8.

Working out the calculations by making all the denominators the same:

=
Question 19
1 / -0

Find the values of x and y, respectively:

=

A. 2 and 4
B. 4 and 5
C. 7 and 9
D. 1 and 9

A
A

B
B

C
C

D
D

Solution

=

xy = 20

^{From the options only, x = 4 and y = 5 satisfies this equation.}
Question 20
1 / -0

Eight friends buy eight apples. Each of them eats of an apple. How many apples in total do all of them eat?

A
6

B
4

C
2

D
10

Solution

Fraction of apple eaten by each of them =
Total number of apples = 8

Total number of apples eaten by them

= 8 x= 6
Question 21
1 / -0

Nathan had L of juice. He gave L to his brother. How much juice was left with him?

A
L

B
L

C
L

D
L

Solution

Quantity of juice Nathan had =L
Quantity of juice he gave to his brother =L
Therefore, quantity of juice left with him = ( -) L =L =L
Question 22
1 / -0

Anil has 120 marbles in total. He gives of his marbles to Salman and another of his marbles to Manish. Find the total number of marbles that he gives to both of his friends?

A
56

B
60

C
84

D
90

Solution

Total number of marbles with Anil = 120

Number of marbles given to Salman = x 120 = 24
Number of marbles given to Mohan =x 120 = 60
Total number of marbles he distributed = 24 + 60 = 84
Question 23
1 / -0

Sahil has a piece of paper. He uses of the paper for painting and writes a times table in of the remaining area. What fraction of the whole piece of paper is used by him to write the times table?

A

B

C

D

Solution

Fraction of paper used for painting =

Remaining fraction of paper = 1 -=

Fraction of paper used for writing the times table:
Question 24
1 / -0

Rohit was doing a task. He completed of the task and his friend helped him in completing another of the task. What fraction of the task was done in total by them?

A

B

C

D

Solution

Total fraction of task completed

= +

= =
Question 25
1 / -0

What fraction of the figures is shaded in total?

A

B

C

D

Solution

Total number of parts = 10 + 10 = 20
Total number of shaded parts = 11

Shaded Fraction =
Question 26
1 / -0

A

B

C

D

Solution

Taking the LCM of denominators:

=
=

Question 27

1 / -0

Look at the letters carefully and answer the following questions:

E, D, U, C, A, T, I, O, N

A. What fraction of letters are vowels?
B. What fraction of letters are consonants?

	a	b
A
B
C
D

C

A

B

D

Solution

Total number of letters = 9

Letters that are vowels = 5

Fraction =

Letters that are consonants = 4

Fraction =

Question 28
1 / -0

What should come in place of the question mark (?), such that the sum of fractions inside the bubbles on each side of the triangle is the same?

A

B

C

D

Solution

We have:

We also have:

So,

? =
Question 29
1 / -0

Which of the following statements is/are correct?

Statement 1: Akshay buyskg of fruits. He gives kg of them to his friend. The quantity of apples left with him iskg.
Statement 2: Salman has Rs. 5000 with him. He spends of that. Hence, he is left with of total money.
A. Only statement 1
B. Only statement 2
C. Both statements 1 and 2
D. Neither statement 1 nor statement 2

A
A

B
C

C
B

D
D

Solution

Statement 1:

Now,- =kg left

This is true.

Statement 2:

1 - =
Hence, this is true.