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Fractions Test - 12

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Fractions Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is true?

A

B

C

D

Solution

is larger than .
We see that the area covered by is definitely bigger than .
So, is true.
Question 2
1 / -0

What are the four equivalent fractions of ?

(a)

(b)

(c)

(d)

A
(a)

B
(b)

C
(c)

D
(d)

Solution

There are infinite number of equivalent fractions of .
To find an equivalent fraction, multiply the numerator and denominator of the fraction by the
same number.
Now,
=

In the same way,

=

=

=

So, option (3) is correct.
Question 3
1 / -0

The shaded portion represents in which of the following figures?

A

B

C

D

Solution

The correct option is option (3).
The shaded portion of the figure shows of the whole figure as numerator tells us the shaded portion out of the whole or the denominator.
Question 4
1 / -0

Ruby made apple pie at home. She used kg of apples approximately. How many apple pies can be made from 21 kg of apples?

A
10

B
14

C
18

D
20

Solution

Quantity of apples for an apple pie = kg = kg
So, number of apple pies that can be made from 21 kg of apples =
Question 5
1 / -0

Which of the following numbers should come in place of 'x'?

A
6

B
7

C
8

D
9

Solution

Given,
=

Now, calculate the LCM.

=

=

=

=

=

x = 8
Question 6
1 / -0

Directions: Arrange the following fractions in ascending order.

A

B

C

D

Solution

For arranging these fractions in ascending order, we need to take LCM = 360
The new fractions (denominator) after taking LCM = 360

=

Hence, the ascending order will be 90 < 200 < 216 < 432 < 576.

or,
Question 7
1 / -0

What is the difference between the shaded parts of the given figures?

A

B

C

D

Solution

Fraction of shaded part of first figure =

Fraction of shaded part of second figure =

Difference =
Question 8
1 / -0

Water in jar X is of the entire jar. The water is then poured into another empty jar Y, which is twice the size of jar X. What fraction of the jar Y is filled with water?

A

B

C

D

Solution

Let the capacity of jar X = x

The capacity of jar Y = 2x

Water in jar Y =

Required fraction =
=
Question 9
1 / -0

How many sixths are there in ?

A
8

B
7

C
5

D
4

Solution

We have .

=

Hence, there are 8 sixths.
Question 10
1 / -0

Which of the following is true for the unshaded part of the fraction?

A
A < B

B
A > B

C
A = B

D
Can't be determined

Solution

In figure 1, total parts = 16

Number of unshaded parts = 3
Therefore, fraction of unshaded parts = A =
In figure 2, total parts = 8

Number of unshaded parts = 4
Therefore, fraction of unshaded parts = B = =
Therefore,
A < B
Question 11
1 / -0

The following figure has 2 equal sized parts. How many more equal sized pieces would be needed to make a whole for the given figure?

A
8

B
5

C
6

D
7

Solution

We need 8 more equal parts.
Question 12
1 / -0

What fraction of the given pentagons have been crossed?

A

B

C

D

Solution

Total number of pentagons = 7

Number of crossed pentagons = 3

So, the required fraction is .
Question 13
1 / -0

What fraction of a metre is 40 centimetre?

A

B

C

D

Solution

We know that 1 m = 100 cm

40 cm =
Required fraction =
=
Question 14
1 / -0

Which of the following is correct?

A
> 1

B
<

C
<

D
> 1

Solution

< is correct because is 0.4 and is 0.6. Thus, 0.6 is greater than 0.4.

is the correct answer.
Question 15
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 16
1 / -0

Rahul ate one full pizza. Then, he divided another one into 4 equal parts and ate half of it. The fraction of pizza he ate was

A

B

C

D

Solution

Since he ate one whole pizza first, so he ate fraction of a pizza and then, he ate fraction of a pizza.
Therefore, he ate =

That means he ate pizza.
Question 17
1 / -0

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

A
28, 32

B
28, 49

C
21, 49

D
21, 48

Solution

In this case, 8 × 3 = 24

So, to make it equal, we multiply 7 × 3 = 21

So, x = 21

Similarly,

In this case, 8 × 7 = 56

So, to make it equal, we multiply 7 × 7 = 49

So, y = 49
Question 18
1 / -0

Find the value of y, if y × of .

A

B

C

D

Solution

y × - of
y - × =
y = + =

y = × =
Question 19
1 / -0

Simplify 7 + { + × ( -)}.

A

B

C

D

Solution

7 + { + × (-)}
= 7 + {+ ×}
= 7 + +
=
=
Question 20
1 / -0

Find the values of x and y, respectively.

A
6, 6

B
3, 3

C
5, 5

D
2, 2

Solution

×= 28
Let x = 5 and y = 5
×= 28
× = 28
7 × 4 = 28
Question 21
1 / -0

Five groups of friends went on a tour. Each of them carried a pizza.of each pizza was eaten. How many pizzas were eaten in all?

A
4

B
5

C
6

D
7

Solution

Fraction eaten from each pizza =
Number of groups = 5
Number of pizzas eaten in all = 5 ×= 4
Question 22
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 23
1 / -0

Oliver had 248 candies. He gave of his candies to Nathan and of his candies to Lewis. How many candies did he give altogether?

A
217

B
220

C
225

D
231

Solution

Total number of candies with Oliver = 248

Number of candies he gave to Nathan = × 248 = 62

Number of candies he gave to Lewis = × 248 = 155

Therefore, total number of candies he gave altogether = 62 + 155 = 217
Question 24
1 / -0

Abu sowed wheat in of his field. He sowed maize in of the remaining portion. What fraction of the field has maize?

A

B

C

D

Solution

Let the whole field be denoted by 1.
Fraction of field having wheat =
Therefore, remaining fraction of field = 1- =
Fraction of field having maize = ×
=
Question 25
1 / -0

Oliver cleaned of his garden. His friend helped him clean of the garden. How much of the garden did they clean together?

A

B

C

D
1

Solution

Total fraction of garden cleaned by Oliver and his friend

=

=

=
Question 26
1 / -0

Rahul was shading a square box. What fraction of the square did he shade?

A

B

C

D
0

Solution

Total number of equal parts = 9
Number of parts shaded = 5
Therefore, fraction =
Question 27
1 / -0

The value of 5 - [1 + {3 - (2 - 3)}] is

A

B

C

D

Solution

5 - [1 + {3 - (2 - 3)}]

= 5 - [1 + {3 - ( -)}]

= 5 - [1 + {3 - ()}]

= 5 - [1 + {3 - ()}]

= 5 - [1 + { +}]

= 5 - [1 + 4]

= 5 - [ + 4]

= -
=
Question 28
1 / -0

Directions: Look at the letters given below and choose the correct answer option.

L E W I S

(a) Fraction of the letters made of exactly 4 straight lines
(b) Fraction of letters made of curved lines

A
(a) (b)

B
(a) (b)

C
(a) (b)

D
(a) (b)

Solution

(a) Letters made up of exactly 4 straight lines are 2 (E and W).
Total number of letters = 5
Therefore, required fraction =
(b) There is only one letter made up of curved lines (S).

Therefore, required fraction =
Question 29
1 / -0

Which of the following should come in place of '?', so that the sum of the fractions on each side of the triangle is the same?

A

B

C

D

Solution

=

=

? =
Question 30
1 / -0

Which of the following statements is correct?

Statement 1: Ravi brought L of a soft drink for a party. Out of this, L was consumed. Ravi was left with 2.10 L of the soft drink.
Statement 2: Rajat ate of the toffees which his mother bought for him. He found that there were 45 toffees left. The total number of toffees was 85.

A
None of these is correct.

B
Only statement 1 is correct.

C
Only statement 2 is correct.

D
Both statements are correct.

Solution

Statement 1:
can be written as 8.50 L.
can be written as 6.40 L.

Difference = 8.50 - 6.40 = 2.10 L

So, statement 1 is correct.

Statement 2:

Total number of toffees = 85

Fraction of toffees Rajat ate =
Number of toffees eaten = × 85 = 51

Rajat was left with 45 toffees .
Thus, total number of toffees = 51 + 45 = 96
So, statement 2 is incorrect.

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