Fractions Test

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Fractions Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following showspart shaded?

A

B

C

D

Solution

In option (1), 2 out of 4 parts are shaded.

Fraction =

In option (2), 1 out of 4 parts are shaded.

Fraction =

In option (3), 1 out of 2 parts are shaded.

Fraction =

In option (4), 2 out of 6 parts are shaded.

Fraction =

So, option (2) shows parts shaded.
Question 2
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Which of the following shows the fraction of encircled stars?

A

B

C

D

Solution

There are 8 stars and 6 out of 8 are encircled stars.

So, the required fraction is .
Question 3
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Which of the following statements is correct about the figure?

A
The whole is divided into 12 equal parts.

B
Shaded fraction =

C
Unshaded fraction =

D
All of these

Solution

The figure has been divided in to 12 equal parts, out of which 4 are shaded and 8 are not shaded. So, option 4 is the answer.
Question 4
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Which of the following series is arranged in ascending order?

A

B

C

D

Solution

Since, in all options denominators of all fractions are same.

Hence, the option in which numerators are arranged from the smallest to the largest will be the answer.

So, in option (1), fractionsare arranged in ascending order.
Question 5
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Which of the following figures has least shaded fraction?

A

B

C

D

Solution

The fractions for all the figures are given below:

In option (1), 2 out of 4 parts are shaded.

Required fraction is =

In option (2), 1 out of 2 parts are shaded.

Required fraction is

In option (3), 4 out of 12 parts are shaded.

Required fraction is =
In option (4), 3 out of 6 parts are shaded.

Required fraction is =

So, option (3) has the lowest number of shaded parts.
Question 6
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In the word TECHNOLOGIES, what fraction of words are vowels?

A

B

C

D

Solution

In the word TECHNOLOGIES, the total number of letters is 12.

E, O, O, I and E are vowels, so 5 out of 12 are vowels.

Therefore, fraction of letters that are vowels = .
Question 7
1 / -0

Which of the following figures shows as a fraction of shaded parts?

A

B

C

D

Solution

In option (1), 3 out of 6 parts are shaded.

So, fraction =

In option (2), 2 out of 4 parts are shaded.

So, fraction =

In option (3), 4 out of 5 parts are shaded.

So, fraction =

In option (4), 4 out of 6 parts are shaded.

So, fraction =

So, option(3) represents as a fraction of shaded parts.
Question 8
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Ria likes even numbers only. What fraction of numbers in the box does Ria like?

A

B

C

D

Solution

There are 5 even numbers (36, 6, 28, 18 and 58) out of 10 numbers.

So, the required fraction = ^.
Question 9
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Which of the following figure sets showswith respect to unshaded parts?

A

B

C

D
All of these

Solution

Consider the figure:

1 out of 3 parts are unshaded in the above.

Required fraction =

Consider the figure:

2 out of 3 parts are unshaded in the above.

Required fraction =

This set shows unshaded parts.
Question 10
1 / -0

represents _______.

A
one out of whole

B
two out of whole

C
three out of whole

D
All of these

Solution

If 3 is a whole, thenrepresents 2 parts out of total 3 parts.
It means two out of a whole.
So, option (2) is correct.
Question 11
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If the triangle is one whole, what will be 5?

A

B

C

D

Solution

means 5 whole and 1 half part of whole.

So, figure in option (3) is correct.
Question 12
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Which of the following options represents the shaded fraction of figure?

A
6

B
6

C
7

D
5

Solution

We have 6 wholes and 3 parts out of 8 parts of 7^th whole are shaded.

So, the answer is 6.
Question 13
1 / -0

In the word 'AUTONOMY', what is the fraction of consonants?

A

B

C

D

Solution

In the word AUTONOMY, the total number of letters is 8.

Here, the consonants are T, N, M, and Y, so 4 out of 8 letters are consonants.

Therefore, fraction of letters that are consonants = ^.
Question 14
1 / -0

Which of the following fractions of shaded parts are INCORRECTLY matched?

A

B

C

D

Solution

Option (1): Shaded fraction =

Option (2): Shaded fraction =

Option (3): Shaded fraction =

Option (4): Shaded fraction =

So, option (2) is incorrectly matched with its shaded fraction.
Question 15
1 / -0

What fraction of the arrows is in downward direction?

A

B

C

D

Solution

Total number of arrows = 10

Number of downward direction arrows = 5 arrows

So, the fraction becomes.
Question 16
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Seema draws the following figure on the blackboard. What shall come in the place of question mark?

A
4

B
8

C
3

D
7

Solution

In the picture, we have 3 squares fully shaded and 1 square half shaded.

So, required fraction is 3.
Question 17
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What fraction of all the digits is digit 4?

1, 1, 6, 4, 3, 2, 1, 1, 2, 4, 1, 2, 1, 1 ,2, 6, 6, 2, 6, 2, 1, 1, 3, 4, 1, 4 , 6, 1, 2

A

B

C

D

Solution

Total number of digit in the given series = 29
Number of 4's in the given series = 4
So, the required fraction = ^.
Question 18
1 / -0

Four students namely Sonu, Ravi, Riya and Mira have drawn four different shapes. They shaded their different parts. Which of the four students shaded their shapes as equivalent to each other?

A
Sonu - Ravi and Riya - Mira

B
Sonu - Riya and Ravi - Mira

C
Sonu - Mira and Ravi - Riya

D
Mira - Riya and Ravi - Sonu

Solution

Sonu shaded 4 parts out of 8, i.e. ()
Riya shaded 2 parts out of 4, i.e. ()
Ravi shaded 3 parts out of 4, i.e. ()
Mira shaded 6 parts out of 8, i.e. ()
Sonu - Riya and Ravi - Mira
Question 19
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What fraction of the apples is outside the basket?

A

B

C

D

Solution

Five apples are outside; six are inside.

Total = 5 + 6 = 11
Required fraction =
Question 20
1 / -0

Which figure shows the fraction ?

A

B

C

D

Solution

47 squares are shaded out of 100 in the grid.

So, the fraction is.
Question 21
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There are 7 students in the drawing class. Every student has a colour box that has 6 sketch colours.

Each box has one black sketch colour. What fraction of sketch colours are black coloured sketches?

A

B

C

D

Solution

As there are 7 students, carrying 6 colours each. Total colours 7 x 6 = 42
Each student has one colour box that has a black sketch.
So, total 7 black sketches.
The fraction becomes [total black sketches]/[total colours]
Required fraction =
Question 22
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Sudhir and Karan are at Dominos. Sudhir is very hungry and wants to eatof a pizza. How many parts should he eat?

A
4

B
5

C
6

D
7

Solution

There are total 8 parts of the pizza. To eat of a pizza, he must eat 5 parts.
Question 23
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A chocolate cake was cut in 9 equal parts. Varun, Nakul and Garima decided to eat the cake. Varun ate^th of the cake. Nakul ate^th of the cake and Garima ate^th of the cake. What fraction of the cake is still left?

A

B

C

D

Solution

Total fraction eaten by Varun, Nakul and Garima = + + =
Fraction of the cake left =- =
Question 24
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Krishna has a jar full of marbles of different colours. What fraction of marbles are red marbles?

A

B

C

D

Solution

Total number of marbles = 20

Total red marbles = 7

Required Fraction =
Question 25
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There are 20 ice creams in Chandan's home. Four of them are chocolate ice creams. What fraction of the ice-creams are not chocolate flavours?

A

B

C

D

Solution

Total ice creams = 20

Chocolate ice creams = 4

Other ice creams = 20 - 4 = 16

Fraction required =

Question 26

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Read the following statements carefully and match the columns.
There are 80 students of class 6. of the students like chess. of the remaining like ludo and rest of the students like carrom.

	Column A		Column B
P	Students who like to play chess	1	48
Q	Students who like to play ludo	2	8
R	Students who like to play carrom	3	24

P - 1, Q - 2, R - 3

P - 3, Q - 2, R - 1

P - 2, Q - 3, R - 1

P - 1, Q - 3, R - 2

Solution

Total students = 80
Students who like chess = of 80 = 80 ÷ 10 = 8
Remaining = 72

of the remaining like Ludo = 72 ÷ 3 = 24

Rest like carrom = 80 - (8 + 24) = 48

	Column A		Column B
p	Students who like to play chess	2	8
Q	Students who like to play ludo	3	24
R	Students who like to play carrom	1	48

Question 27
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It is given that

Also, it is given that

Then find

A

B

C

D

Solution
Question 28
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A pizza is cut as given in the picture. The cost of the whole pizza is Rs. 80. Ayush eats 3 slices and Yami eats 2 slices. If Amit eats the rest of the slices, how much should he pay for his portion?

A
Rs. 50

B
Rs. 40

C
Rs. 30

D
Rs. 20

Solution

As there are 8 slices and the price of 8 slices is Rs. 80, cost of each slice = 80 ÷ 8 = Rs. 10
Ayush eats 3 slices and pays Rs. 30.
Yami eats 2 slices and pays Rs. 20.
Rest, 8 - (5) = 3 parts of the pizza are left.
So, 3 slices will cost him Rs. 30.
Question 29
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A rectangular grid is shown with different shapes in it. On the basis of the given figure, which of the following is true?

A
The fraction of triangles is .

B
The fraction of the circles is.

C
The fraction of the triangles is .

D
The fraction of the stars is .

Solution

There are 8 stars, 9 circles and 7 triangles.
Total figures in the rectangular grid are 24.
Fraction of the stars =^_.
Question 30
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In a class of 32 children, 8 children like cricket, 16 children like badminton and the rest like football. Which of the following shapes show the fraction of children who like football?

A

B

C

D

Solution

Children who like cricket = 8
Children who like badminton = 16
Children who like football = 32 - (8 + 16) = 8
Required fraction ==