Parts and Whole Test 8

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Parts and Whole Test 8

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Question 1
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Raju scored $$16$$ marks of $$25$$. Its fractional form is:

A
$$\displaystyle \frac{1}{25}$$

B
$$\displaystyle \frac{16}{25}$$

C
$$\displaystyle \frac{9}{25}$$

D
$$\displaystyle \frac{25}{25}$$

Solution

Raju got $$16$$ marks out of $$25$$ marks
So, total is $$25$$ and he got $$16$$ out of the total
Therefore $$16$$ will be numerator and $$25$$ will be denominator
So, fractional form is $$\dfrac{16}{25}$$.
Question 2
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There are four people in a room. If they cut an apple into 4 equal pieces and take 1 piece each, each has eaten what part of the apple?

A
$$\displaystyle \frac {1}{4}$$

B
$$\displaystyle \frac {1}{3}$$

C
$$\displaystyle \frac {1}{2}$$

D
$$1$$

Solution
Question 3
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What fraction of figure is shaded and what is the difference between unshaded and shaded fraction?

A
$$\displaystyle{\frac{1}{4}, \frac{1}{2}}$$

B
$$\displaystyle{\frac{3}{4}, \frac{1}{2}}$$

C
$$\displaystyle{\frac{1}{2}, \frac{1}{2}}$$

D
$$\displaystyle{\frac{2}{9}, \frac{1}{4}}$$

Solution

Fraction of shaded parts $$=\dfrac{1}{4}$$

Fraction of non-shaded parts $$=1-\dfrac{1}{4}=\dfrac{3}{4}$$
Difference between non-shaded and shaded parts $$=\dfrac{3}{4}-\dfrac{1}{4}$$

$$=\dfrac{2}{4}$$

$$=\dfrac{1}{2}$$
$$\therefore$$ Required answers are $$\dfrac{1}{4}$$ and $$\dfrac{1}{2}$$.
Question 4
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What mixed number represents the shaded portion of the two models shown below?

A
1$$\displaystyle{\frac{2}{6}}$$

B
1$$\displaystyle{\frac{4}{6}}$$

C
2$$\displaystyle{\frac{4}{6}}$$

D
2$$\displaystyle{\frac{2}{4}}$$
Question 5
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$$\displaystyle \frac { 1 }{ 6 } $$ of 48 liter = ........ liter

A
7

B
1

C
8

D
6

Solution

$$\dfrac{1}{6}$$ of 48 liter
= $$\dfrac{1}{6}\times$$48 liter
=8 liter
Question 6
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What is the sum of the shaded parts?

A
$$\displaystyle \frac {1}{4}$$

B
$$\displaystyle \frac {1}{2}$$

C
$$\displaystyle \frac {3}{4}$$

D
$$1$$

Solution

In the first given object, there are a total of $$4$$ squares, and $$1$$ square is shaded amongst them.

Therefore, the ratio of the shaded square to the total number of squares is $$=\dfrac { 1 }{ 4 }$$ $$...(1)$$

Now, in the second object, there are a total of $$4$$ squares and $$2$$ squares are shaded amongst them.

Therefore, the ratio of shaded squares to the total number of squares is $$=\dfrac { 2 }{ 4 }$$ $$...(2)$$

Adding equations $$(1)$$ and $$(2)$$ we get,

$$\Rightarrow \dfrac { 1 }{ 4 } +\dfrac { 2 }{ 4 } =\dfrac { 3 }{ 4 }$$

Hence, the sum of the shaded parts is $$\dfrac { 3 }{ 4 }$$
Question 7
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Fraction is a part of

A
whole

B
half

C
quarter

D
none

Solution

Fraction is always a part of $$whole$$.
Hence, the answer is whole.
Question 8
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What fraction of the fruits on the plate are apples?

A
$$\displaystyle \frac {4}{13}$$

B
$$\displaystyle \frac {1}{13}$$

C
$$\displaystyle \frac {5}{13}$$

D
$$\displaystyle \frac {3}{13}$$

Solution

In the given plate of fruits, there are a total of $$13$$ fruits with $$3$$ apples, $$5$$ mangoes, $$1$$ watermelon and $$4$$ bananas. Therefore, the ratio of the number of apples to the total number of fruits is:

$$\dfrac {No. of apples}{Total}=\dfrac {3 }{ 13 }$$

Hence, the fraction of the apples in the plate is $$\dfrac { 3 }{ 13 }$$
Question 9
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In which figure does the shaded part represents $$\displaystyle \frac{1}{3}$$ of the complete figure

A

B

C

D
Question 10
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Reena eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of those parts. The total number of chocolates that she has eaten in fraction is

A
$$\displaystyle \frac{2}{5}$$

B
$$\displaystyle \frac{3}{5}$$

C
$$\displaystyle \frac{8}{5}$$

D
$$\displaystyle \frac{8}{10}$$

Solution