Parts and Whole Test 11

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Parts and Whole Test 11

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Question 1
1 / -0

Identify the figure which represent equal parts?

A
2 and 3

B
1 and 2

C
1 and 3

D
2 and 4

Solution

In the given first circular object, there are a total of $$4$$ parts and $$1$$ part is shaded amongst them. Therefore, the ratio of shaded part to the total number of parts is:

$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$

Now, consider the second circular object, there are a total of $$4$$ parts and $$2$$ parts are shaded amongst them. Therefore, the ratio of shaded parts to the total number of parts is:

$$\dfrac {Shaded}{Total}=\dfrac {2 }{ 4 }=\dfrac {1}{2}$$

Now, in the third object, there are a total of $$4$$ squares and $$3$$ squares are shaded amongst them. Therefore, the ratio of shaded squares to the total number of squares is:

$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$

Finally, in the last object, there are a total of $$4$$ squares and none of the squares are shaded amongst them. Therefore, the ratio of shaded squares to the total number of squares is:

$$\dfrac {Shaded}{Total}=\dfrac { 0 }{ 4 }=0$$

Since the fraction of all of first and third objects is same that is $$\dfrac {1}{4}$$.

Hence, the figure 1 and 3 represents the equal parts.
Question 2
1 / -0

Which figure shows greater fraction?

A
Fig. a shows greater fraction.

B
Fig. b shows greater fraction.

C
None

D
we cannot say.

Solution

In the given first circular object, there are a total of $$4$$ parts and $$1$$ part is shaded amongst them. Therefore, the ratio of shaded part to the total number of parts is:

$$\dfrac {Shaded}{Total}=\dfrac {1 }{ 4 }$$

Now, consider the second circular object, there are a total of $$8$$ parts and $$1$$ part is shaded amongst them. Therefore, the ratio of shaded part to the total number of parts is:

$$\dfrac {Shaded}{Total}=\dfrac {1 }{ 8 }$$

Since the fraction $$\dfrac {1}{4}=0.25$$ and $$\dfrac {1}{8}=0.125$$, that means the fraction $$\dfrac {1}{4}$$ is greater than $$\dfrac {1}{8}$$.

Hence, figure a is greater than figure b.
Question 3
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How many of the shape of the given figure must be shaded so that $$\dfrac {2}{5}$$ of the figure is unshaded?

A
$$5$$

B
$$10$$

C
$$15$$

D
$$20$$

Solution

Total number of shapes $$= 25$$
Unshaded fraction $$= \dfrac {2}{5}$$
$$\therefore$$ Shaded fraction $$= 1 - \dfrac {2}{5} $$
$$= \dfrac {3}{5}$$

Now, number of shape to be shaded $$= \dfrac {3}{5}\times 25 $$
$$= 15$$

Hence, option $$C$$ is correct.
Question 4
1 / -0

In which figure does the shaded part represents $$0.3$$?

A

B

C

D
Question 5
1 / -0

What fraction of the figure is shaded.

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

B
$$\displaystyle\frac{3}{8}$$

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

D
$$\displaystyle\frac{8}{11}$$

Solution

$$\Rightarrow$$ Total number of equal parts = $$8$$
$$\Rightarrow$$ Number of shaded parts = $$3$$
$$\therefore$$ Shaded fraction = $$\dfrac{Shaded\,\,parts}{Total\,number\,of\,equal\,parts}$$

$$\therefore$$ Shaded fraction =$$\dfrac{3}{8}$$
Question 6
1 / -0

Pictorial representation of $$3\times \displaystyle \frac{2}{3}$$ is?

A

B

C

D

Solution

We have given Pictorial representation of $$3\times \dfrac{2}{3}$$
$$\Rightarrow$$ $$3\times \dfrac{2}{3}=\dfrac{2}{3}+\dfrac{2}{3}+\dfrac{2}{3}$$
$$\therefore$$ Option $$B$$ is correct answer.
Question 7
1 / -0

What is the sum of shaded parts of the given figures?

A
1$$\dfrac{2}{3}$$

B
1$$\dfrac{1}{4}$$

C
1$$\dfrac{3}{4}$$

D
2$$\dfrac{1}{4}$$

Solution

In figure I,
Total number of equal parts $$=4$$
Number of shaded parts $$= 3$$
Therefore shaded fraction $$=\dfrac{3}{4}$$
In figure II,
Total number of equal parts $$= 16$$
Number of shaded parts $$=8$$
Therefore shaded fraction $$=\dfrac{8}{16}=\dfrac{1}{2}$$

So, required sum $$=\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{3+2}{4}=\dfrac{5}{4}= 1\dfrac{1}{4}$$
Question 8
1 / -0

$$\dfrac { 2 }{ 5 }$$ of 15 is

A
4

B
7

C
6

D
9

Solution

$$\dfrac{2}{5}$$ $$\times 15$$ = 6
Question 9
1 / -0

Which of the following options represents $$\displaystyle\frac{3}{4}$$ of $$8$$ parts shaded?

A

B

C

D
None of these

Solution

We know, $$\dfrac{3}{4}\,of\,8=\dfrac{3}{4}\times 8=6$$

$$\Rightarrow$$ So, in option $$B$$ has 6 parts shaded out of $$8$$

$$\therefore$$ Correct answer is option $$B$$.
Question 10
1 / -0

Study the following statements.
Statement-$$1$$: Fraction of shaded part of is $$\displaystyle\frac{7}{16}$$.
Statement-$$2$$: Fraction of shaded part of is $$\displaystyle\frac{4}{9}$$.
Which of the following options holds?

A
Both Statement-$$1$$ and Statement-$$2$$ are true

B
Statement-$$1$$ is true but Statement-$$2$$ is false

C
Statement-$$1$$ is false but Statement-$$2$$ is true

D
Both Statement-$$1$$ and Statement-$$2$$ are false

Solution

Statement 1 : Fraction of shaded part of is $$\dfrac{7}{16}$$
But in figure we can see uneven $$7$$ parts are shades.
$$\therefore$$ Statement 1 is false.
Statement 2 : Fraction of shaded part of is $$\dfrac{4}{9}$$.
But in figure we can see more than 4 and even parts are shaded.
$$\therefore$$ Statement 2 is false.
$$\therefore$$ Both statement -1 and Statement-2 are false.