Parts and Whole Test 6

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Parts and Whole Test 6

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Weekly Quiz Competition

Question 1
1 / -0

Value of $$\frac{2}{3}$$ of $$48$$ is

A
$$36$$

B
$$32$$

C
$$30$$

D
$$28$$

Solution

$$\cfrac{2}{3}$$ of $$48$$
$$=\cfrac{2}{3}\times48$$
$$=2\times16$$
$$=32$$
Question 2
1 / -0

What fraction of an hour is $$45 $$ minutes ?

A
$$\dfrac{3}{4} $$

B
$$\dfrac{5}{6} $$

C
$$\dfrac{7}{9} $$

D
$$\dfrac{4}{3} $$

Solution

An hour $$\left(1 hour\right) = 60\, minutes$$
$$\therefore$$ Requird fraction $$= \dfrac{45}{60}=\dfrac{3}{4}$$
Question 3
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What fraction of a day is $$8$$ hours ?

A
$$\dfrac{1}{9}$$

B
$$\dfrac{3}{7}$$

C
$$\dfrac{5}{6}$$

D
$$\dfrac{1}{3}$$

Solution

Number of hours in a day $$24$$ hours
$$\therefore$$ Required fraction $$= \dfrac{8}{24}=\dfrac13$$
Question 4
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Write the fractions representing the shaded regions. Are all these fractions equivalent ?

A
$$\frac{1}{2}$$,$$\frac{3}{4}$$,$$\frac{2}{6}$$,$$\frac{4}{8}$$,Yes

B
$$\frac{1}{2}$$,$$\frac{3}{4}$$,$$\frac{2}{6}$$,$$\frac{4}{8}$$,No

C
$$\frac{1}{2}$$,$$\frac{2}{4}$$,$$\frac{3}{6}$$,$$\frac{4}{8}$$,Yes

D
$$\frac{1}{2}$$,$$\frac{2}{4}$$,$$\frac{3}{6}$$,$$\frac{4}{8}$$,No
Question 5
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Multiple Choice Questions
In the given figure, the shaded part is represented by the fraction :

A
$$\dfrac{3}{8}$$

B
$$\dfrac{3}{7}$$

C
$$\dfrac{4}{8}$$

D
$$\dfrac{3}{6}$$`

Solution

Here,
Shaded squares $$=3$$
Total squares $$=7$$
So, shaded fraction $$=\dfrac{3}{7}$$
Question 6
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Multiple choice .
In the given figure, the shaded region is represented by the fraction :

A
$$\dfrac{4}{12}$$

B
$$\dfrac{5}{12}$$

C
$$\dfrac{5}{24}$$

D
$$\dfrac{4}{24}$$

Solution

Since in the given figure, the area of the triangle is half of the area of the square, therefore,
The shaded squares are $$=1+3\times \dfrac{1}{2}=2.5$$
Total squares are $$=12$$
So, shaded fraction $$=\dfrac{2.5}{12}=\dfrac{2.5\times2}{12\times2}=\dfrac{5}{24}$$
Question 7
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Multiple Choice Questions
In the given figure, the shaded part is represented by the fraction :

A
$$\dfrac{3}{8}$$

B
$$\dfrac{3}{7}$$

C
$$\dfrac{4}{8}$$

D
$$\dfrac{3}{6}$$

Solution

No. of box $$=7$$
No. of shaded box $$=3$$
Fraction of shaded part $$=\dfrac{3}{7}$$
Question 8
1 / -0

The product of $$\frac{11}{13}$$ and 4 is:

A
$$3\frac {5}{13}$$

B
$$5\frac{3}{13}$$

C
$$13\frac{3}{13}$$

D
$$13\frac{5}{13}$$

Solution
Question 9
1 / -0

What fraction of the candles on the cake is lit?

A
$$\displaystyle \frac {4}{7}$$

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

C
$$\displaystyle \frac {3}{7}$$

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

Solution

In the given cake, there are a total of $$7$$ candles and $$4$$ candles are lighten amongst them. Therefore, the ratio of lighten candles to the total number of candles is:

$$\dfrac {Lit}{Total}=\dfrac { 4 }{ 7 }$$

Hence, the fraction of the lit candles on the cake is $$\dfrac { 4 }{ 7 }$$
Question 10
1 / -0

What fraction does the shaded part represent?

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

B
$$\displaystyle \frac {1}{16}$$

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

D
$$\displaystyle \frac {4}{12}$$

Solution

In the given object, there are a total of $$16$$ boxes and $$4$$ boxes are shaded amongst them. Therefore, the ratio of shaded boxes to the total number of boxes is:

$$\dfrac {Shaded}{Total}=\dfrac { 4 }{ 16 } =\dfrac { 1 }{ 4 }$$

Hence, the fraction of the shaded part is $$\dfrac { 1 }{ 4 }$$