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Fractions Test - 1

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Fractions Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following images shows parts shaded?

A
A

B
B

C
C

D
D

Solution

As in question mentioned, parts shaded which means 2 represent shaded parts out of total 5 parts.
So, image C shows 2 parts shaded out of total 5 parts.
Question 2
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Choose the correct option that gives the fraction represented by the encircled balls.

A

B

C

D

Solution

There are 12 balls in total and out of these balls, four has been circled. So, the required fraction is .
Question 3
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Choose the statement which is INCORRECT about the given picture.

A
There are 8 shaded parts.

B
The fraction of shaded parts would be .

C
There are 7 unshaded parts.

D
The fraction of unshaded parts is .

Solution

There are 8 shaded parts out of 15 total and 7 unshaded parts.
So, the fraction of shaded parts would be and the fraction of unshaded parts would be .
Therefore, option (2) is incorrect.
Question 4
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Arrange the given fractions in ascending order:

(A)
(B)
(C)
(D)
(E)

A
(E), (D), (C) ,(B) ,(A)

B
(E), (C), (B), (D), (A)

C
(E), (C), (D), (B), (A)

D
(E), (C), (D), (A), (B)

Solution

If the denominator is same, the fraction with the larger numerator would be the largest fraction.

According to this, the correct ascending order is (E), (C), (D), (B), (A), which is ^.
Question 5
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Among the following figures, which figure is showing the largest fraction?

A
A

B
B

C
C

D
D

Solution

(A) Total number of parts = 3
Number of shaded parts = 2
Shaded fraction =

(B) Total number of parts = 4
Number of shaded parts = 2
Shaded fraction =
(C) Total number of parts = 6
Number of shaded parts = 3
Shaded fraction =

(D) Total number of parts = 9
Number of shaded parts = 3
Shaded fraction =
So, (A) shows the largest shaded fraction.
Question 6
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In the word 'FRACTIONS', what is the fraction of the letters that are vowels?

A

B

C

D

Solution

The number of letters in the word 'FRACTIONS' is 9.
Vowels in the English alphabet are A, E, I, O and U.
So, there are only 3 vowels in the word 'FRACTIONS', i.e. A, I and O.
So, the required fraction is .
Question 7
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Which of the following images represents shaded parts?

A
A

B
B

C
C

D
D

Solution

(A) Total number of parts = 2
Number of shaded parts = 1
Shaded fraction =

(B) Total number of parts = 5
Number of shaded parts = 2
Shaded fraction =

(C) Total number of parts = 6
Number of shaded parts = 4
Shaded fraction =

(D) Total number of parts = 7
Number of shaded parts = 4
Shaded fraction =
So, image D represents the given fraction, i.e. .
Question 8
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Sheena likes only those numbers which have 1 at tens place.

Which of the following fractions shows the fraction of the numbers that Sheena likes?

A

B

C

D

Solution

Total numbers in the table = 15
There are 6 such numbers which Sheena likes (which have 1 at tens place) - 15, 19, 10, 18, 17 and 13.
So, the fraction would be .
Question 9
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Which of the following fraction sets represents the above figure with respect to the shaded parts?

A

B

C

D

Solution

In the first figure,
Total number of parts = 8
Number of shaded parts = 3
Shaded fraction =
In the second figure,
Total number of parts = 8
Number of shaded parts = 4
Shaded fraction =

So,
Question 10
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Complete the sentence given below:

is ________.

A
eight parts of a whole

B
seven parts of a whole

C
fifteen parts of a whole

D
one part of a whole

Solution

The numerator shows 7 parts of a whole, i.e. 7 out of total 8.
Question 11
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If = one whole, then which of the following options represents shaded fraction?

A

B

C

D

Solution

- This mixed number shows that there are 3 wholes; and in fourth whole, 2 out of 5 parts are shaded. So, this option is correct as 3 whole circles are there and there are 2 shaded out of 5 in the fourth circle.
Question 12
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Which of the following options shows the shaded fraction as?

A

B

C

D

Solution

There are 5 whole circles shaded and 3 out of 10 are shaded in the 6^th circle. So, option (1) represents .
Question 13
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What is the fraction of consonants in the word NUMERATOR?

A

B

C

D

Solution

Number of letters in the word NUMERATOR = 9
Number of letters which are consonants (NMRTR) = 5
Required fraction =
Question 14
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Choose the figure that has been correctly matched with the fraction with respect to shaded parts.

A

B

C

D

Solution

(1) Total number of parts = 2
Number of shaded parts = 1
Shaded fraction =
(2) Total number of parts = 4
Number of shaded parts = 2
Shaded fraction =
(3) Total number of parts = 5
Number of shaded parts = 3
Shaded fraction =
(4) Total number of parts = 9
Number of shaded parts = 3
Shaded fraction =
So, the fraction correctly matched is option (2), i.e. .
Question 15
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What is the fraction of the smiling faces with open mouth?

A

B

C

D

Solution

There are 4 smiling faces with open mouth and total number of smiling faces is 8, so the required fraction would be .
Question 16
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If = 1 whole, then what fraction is represented by the set of figures given below?

A

B

C

D

Solution

There are 2 whole stars and star is shaded in the 3^rd star. So, the correct fraction is .
Question 17
1 / -0

Find out the fraction of the digit zero in the given series below:

1 2 0 3 2 4 0 2 3 5 0 3 2 4 6 0 3 5 4 0 3 0 0 3 4 6 0 0 0

A

B

C

D

Solution

Total number of digits in the given series = 29
Number of zeros in the series = 10

Therefore, required fraction =
Question 18
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Find out the figures that have equal fraction of shaded parts.

A
A, B and D

B
A, C and D

C
C and D

D
B and D

Solution

(A) Total number of equal parts = 8
Number of shaded parts = 4
Shaded fraction =

(B) Total number of equal parts = 8
Number of shaded parts = 6
Shaded fraction =

(C) Total number of equal parts = 4
Number of shaded parts = 2
Shaded fraction =
This fraction is equal to .

(D) Total number of equal parts = 8
Number of shaded parts = 4
Shaded fraction =
So, figures A, C and D have equal fraction of shaded parts.
Question 19
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What is the fraction of chocolates that are inside the box?

A

B

C

D

Solution

There are 9 chocolates inside the box out of total 14. So, the fraction would be .
Question 20
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Choose the fraction that shows the fraction of unshaded region in the given figure below:

A

B

C

D

Solution

Total number of squares = 100
Number of unshaded squares = 25
So, the fraction would be .
Question 21
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Raizel has 4 boxes of crayon colours and there are 5 different colours in each box which are green, yellow, red, orange and purple.
She went to the school and after coming back she found that her sister had taken all the crayons of orange colour. Find out the fraction of the crayons taken by her sister.

A

B

C

D

Solution

Total number of crayons in all boxes = 5 x 4 = 20
Total number of crayons taken by her sister = 5
Fraction of the crayons taken by her sister =
Question 22
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Mohit has a notebook with an octopus design on it. How many legs of octopus would he shade in blue in order to shade of the legs?

A
8

B
6

C
5

D
7

Solution

For shade of the legs, which means out of 8 legs 7 should be shaded.
As we know, an octopus has 8 legs.
Hence, Mohit would have to shade 7 legs out of 8.
Question 23
1 / -0

Three friends Sam, Kazia and John went to a party. In the party, Sam ate of a pizza, Kazia ate of that pizza and John ate of that pizza. Find the fraction of the pizza eaten by three of them.

A

B

C

D

Solution

Pizza eaten by Sam =
Pizza eaten by Kazia =
Pizza eaten by John =
Total pizza eaten by all of them =
Question 24
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Seema bought some pens and pencils from a shop, as shown in the pictures of jars given below. What is the fraction of pencils in the jars?

A

B

C

D

Solution

Total number of pens and pencils in the jars = 9
Number of pencils = 4
Therefore, required fraction =
Question 25
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There are 7 bulbs in a box. 4 of them are not working. What is the fraction of bulbs that are working?

A

B

C

D

Solution

Out of 7, there are 4 defective bulbs and 3 are working. So, the fraction would be .
Question 26
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Mohan collected 48 pokemon stickers. He gave stickers to his friend Mohit and of the remaining stickers to his another friend Sam.

Now, read the following statements in Column A and match with the correct answer in Column B.

A
A - 2, B - 3, C - 1

B
A - 2, B - 1, C - 3

C
A - 3, B - 2, C - 1

D
A - 1, B - 3, C - 2

Solution

The correct sequence is A - 2, B - 3, C - 1.

Total number of stickers Mohan has = 48
Number of stickers given to Mohit = of 48 = 48 ÷ 4 = 12
Number of stickers left = 48 - 12 = 36

Now,
Number of stickers given to Sam = of 36 = 36 ÷ 6 = 6
So, number of stickers left with Mohan = 48 - (12 + 6) = 48 - 18 = 30
Question 27
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If a smiley is equal to three bats and two smileys and two bats are equal to 1 whole, then what is the fraction of 1 smiley and 1 bat?

A

B

C

D

Solution

and

So, total number of bats in whole = 8
Total number of bats in 1 smiley and 1 bat = 4
Therefore, required fraction =
Question 28
1 / -0

If Jiya eats of a pizza and Sheena eats of that pizza, then what fraction of pizza is left?

A

B

C

D

Solution

Fraction of pizza eaten by both = + =
It means out of total 10 parts, they both eat 7 parts. So, 3 parts of pizza are left.
Fraction of pizza left =
Question 29
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On the basis of the above pictures, choose the correct statements from among the following:

A
The number of pizzas with toppings is 5.

B
of the pizzas are without toppings.

C
of the pizzas are with toppings.

D
None of these

Solution

Total number of pizzas = 14
Number of pizzas with toppings = 6
Required fraction =
Number of pizzas without toppings = 8
Required fraction =

So, only statement 2 is correct.
Question 30
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There were twelve slices of a chocolate cake. Deago ate slices, Kazo ate slices, Kiera ate slices and Jack ate slices. Which of the following figures shows the number of slices eaten in total? ( In figures shaded part shows the eaten slices.)

A

B

C

D

Solution

Total number of slices they all ate =
So, figure in option 2 shows 9 parts eaten with 12 equal parts in total.

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