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CBSE Questions for Class 5 Maths Parts And Whole Quiz 3 - MCQExams.com
CBSE
Class 5 Maths
Parts And Whole
Quiz 3
Value of $$\frac{2}{3}$$ of $$48$$ is
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$$36$$
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$$32$$
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$$30$$
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$$28$$
Explanation
$$\cfrac{2}{3}$$ of $$48$$
$$=\cfrac{2}{3}\times48$$
$$=2\times16$$
$$=32$$
What fraction of an hour is $$45 $$ minutes ?
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$$\dfrac{3}{4} $$
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$$\dfrac{5}{6} $$
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$$\dfrac{7}{9} $$
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$$\dfrac{4}{3} $$
Explanation
An hour $$\left(1 hour\right) = 60\, minutes$$
$$\therefore$$ Requird fraction $$= \dfrac{45}{60}=\dfrac{3}{4}$$
What fraction of a day is $$8$$ hours ?
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$$\dfrac{1}{9}$$
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$$\dfrac{3}{7}$$
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$$\dfrac{5}{6}$$
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$$\dfrac{1}{3}$$
Explanation
Number of hours in a day $$24$$ hours
$$\therefore$$ Required fraction $$= \dfrac{8}{24}=\dfrac13$$
Write the fractions representing the shaded regions. Are all these fractions equivalent ?
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$$\frac{1}{2}$$,$$\frac{3}{4}$$,$$\frac{2}{6}$$,$$\frac{4}{8}$$,Yes
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$$\frac{1}{2}$$,$$\frac{3}{4}$$,$$\frac{2}{6}$$,$$\frac{4}{8}$$,No
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$$\frac{1}{2}$$,$$\frac{2}{4}$$,$$\frac{3}{6}$$,$$\frac{4}{8}$$,Yes
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$$\frac{1}{2}$$,$$\frac{2}{4}$$,$$\frac{3}{6}$$,$$\frac{4}{8}$$,No
Multiple Choice Questions
In the given figure, the shaded part is represented by the fraction :
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$$\dfrac{3}{8}$$
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$$\dfrac{3}{7}$$
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$$\dfrac{4}{8}$$
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$$\dfrac{3}{6}$$`
Explanation
Here,
Shaded squares $$=3$$
Total squares $$=7$$
So, shaded fraction $$=\dfrac{3}{7}$$
Multiple choice .
In the given figure, the shaded region is represented by the fraction :
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$$\dfrac{4}{12}$$
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$$\dfrac{5}{12}$$
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$$\dfrac{5}{24}$$
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$$\dfrac{4}{24}$$
Explanation
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 $$=\dfrac{2.5}{12}=\dfrac{2.5\times2}{12\times2}=\dfrac{5}{24}$$
Multiple Choice Questions
In the given figure, the shaded part is represented by the fraction :
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$$\dfrac{3}{8}$$
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$$\dfrac{3}{7}$$
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$$\dfrac{4}{8}$$
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$$\dfrac{3}{6}$$
Explanation
No. of box $$=7$$
No. of shaded box $$=3$$
Fraction of shaded part $$=\dfrac{3}{7}$$
The product of $$\frac{11}{13}$$ and
4 is:
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$$3\frac {5}{13}$$
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$$5\frac{3}{13}$$
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$$13\frac{3}{13}$$
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$$13\frac{5}{13}$$
What fraction of the candles on the cake is lit?
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$$\displaystyle \frac {4}{7}$$
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$$\displaystyle \frac {4}{3}$$
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$$\displaystyle \frac {3}{7}$$
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$$\displaystyle \frac {1}{4}$$
Explanation
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
$$\dfrac { 4 }{ 7 }$$
Which model is shaded to show a fraction equivalent to $$\displaystyle \frac {3}{6}$$ ?
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0%
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Explanation
Let us first solve the given fraction as follows:
$$\dfrac { 3 }{ 6 } =\dfrac { 1 }{ 2 }$$
(a)
In the given square, there are a total of $$4$$
triangles
and $$1$$
triangle
is shaded amongst them. Therefore, the ratio of shaded
triangle
to the total number of
triangles
is:
$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$
Hence, the fraction $$\dfrac {1}{4}$$ is not same as the given fraction
$$\dfrac {1}{2}$$
(b)
In the given rectangle, there are a total of $$8$$
squares
and $$3$$
squares
are shaded amongst them. Therefore, the ratio of shaded
squares
to the total number of
squares
is:
$$\dfrac {Shaded}{Total}=\dfrac { 3 }{ 8 }$$
Hence, the fraction $$\dfrac {3}{8}$$ is not same as the given fraction
$$\dfrac {1}{2}$$
(c)
In the given rectangle, there are a total of $$5$$
rectangles
and $$3$$
rectangles
are shaded amongst them. Therefore, the ratio of shaded
rectangles
to the total number of
rectangles
is:
$$\dfrac{Shaded}{Total}=\dfrac{ 3 }{ 5 }$$
Hence, the fraction $$\dfrac {3}{5}$$ is not same as the given fraction
$$\dfrac {1}{2}$$
(d)
In the given circle, there are a total of $$2$$
semi-circles
and $$1$$
semi-circle
is shaded amongst them. Therefore, the ratio of shaded
semi-circles
to the total number of
semi-circles
is:
$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 2 }$$
Hence, the fraction $$\dfrac {1}{2}$$ is same as the given fraction
$$\dfrac {1}{2}$$
So, $$Op-D$$ is correct.
How many more equal-sized pieces would you need to make a whole for the given figure?
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$$1$$
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$$2$$
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$$4$$
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$$6$$
Explanation
In the given circle, $$\dfrac {1}{4}$$th of the circle is divided in two equal parts which means that
$$\dfrac {1}{2}$$ of the circle should be divided in four equal parts. Therefore, the whole circle is divided in $$8$$ equal parts.
Hence, $$6$$ more equal sized pieces are needed to make a whole circle.
What fraction does the shaded part represent?
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$$\displaystyle \frac {1}{4}$$
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$$\displaystyle \frac {1}{16}$$
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$$\displaystyle \frac {4}{13}$$
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$$\displaystyle \frac {4}{12}$$
Explanation
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
$$\dfrac { 1 }{ 4 }$$
In which figure, does the shaded part represents $$0.3$$?
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0%
0%
0%
Explanation
In part figure (A) total parts are $$10$$
shaded parts are $$3$$.
So fraction is $$\dfrac{3}{10}=0.3$$
What fraction of the figure below is shaded?
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$$\displaystyle \frac {1}{4}$$
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$$\displaystyle \frac {2}{4}$$
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$$\displaystyle \frac {2}{6}$$
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$$\displaystyle \frac {4}{6}$$
Explanation
In the given figure, there are a total of $$6$$ rhombuses and $$2$$
rhombuses
are shaded amongst them.
The ratio of the shaded
rhombus
to the total number of
rhombus
is
$$=\dfrac {Shaded}{Total}=\dfrac {2 }{ 6 }$$
Hence, the fraction of the shaded part is
$$\dfrac { 2 }{ 6 }$$
What fraction of the children in the following group are boys?
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$$\displaystyle \frac {3}{4}$$
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$$\displaystyle \frac {3}{7}$$
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$$\displaystyle \frac {4}{3}$$
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$$\displaystyle \frac {4}{7}$$
Explanation
In the given group of children, there are a total of $$7$$ children with $$3$$ boys and $$4$$
girls
. Therefore, the ratio of the number of boys
to the total number of
children
is:
$$\dfrac {Boys}{Total}=\dfrac {3 }{ 7 }$$
Hence, the fraction of the boys in the group is
$$\dfrac { 3 }{ 7 }$$
The shape is shaded to show which fraction?
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$$\displaystyle \frac {1}{4}$$
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$$\displaystyle \frac {3}{4}$$
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$$\displaystyle \frac {1}{3}$$
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$$\displaystyle \frac {2}{3}$$
Explanation
In the given object, there are a total of $$4$$ triangles and $$1$$
triangle
is shaded amongst them. Therefore, the ratio of shaded
triangle
to the total number of
triangles
is:
$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$
Hence, the fraction of the shaded part is
$$\dfrac { 1 }{ 4 }$$
What fraction does the shaded part represent?
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$$\displaystyle \frac {3}{5}$$
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$$\displaystyle \frac {2}{5}$$
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$$\displaystyle \frac {3}{10}$$
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$$\displaystyle \frac {2}{10}$$
Explanation
In the given object, there are a total of $$10$$ rectangles and $$3$$
rectangles
are shaded amongst them. Therefore, the ratio of shaded
rectangles
to the total number of
rectangles
is:
$$\dfrac {Shaded}{Total}=\dfrac {3 }{ 10 }$$
Hence, the fraction of the shaded part is
$$\dfrac { 3 }{ 10 }$$
$$\displaystyle \frac { 2 }{ 4 }$$ of a rupee = .......paise
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20
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50
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40
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10
Explanation
1 rupee=100 paise
so $$\dfrac{2}{4}$$ of a rupee=$$\dfrac{2}{4}\times100=50$$ paise
Raju scored $$16$$ marks of $$25$$. Its fractional form is:
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$$\displaystyle \frac{1}{25}$$
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$$\displaystyle \frac{16}{25}$$
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$$\displaystyle \frac{9}{25}$$
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$$\displaystyle \frac{25}{25}$$
Explanation
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
$$\dfrac{16}{25}$$.
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?
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$$\displaystyle \frac {1}{4}$$
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$$\displaystyle \frac {1}{3}$$
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$$\displaystyle \frac {1}{2}$$
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$$1$$
What fraction of figure is shaded and what is the difference between unshaded and shaded fraction?
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$$\displaystyle{\frac{1}{4}, \frac{1}{2}}$$
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$$\displaystyle{\frac{3}{4}, \frac{1}{2}}$$
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$$\displaystyle{\frac{1}{2}, \frac{1}{2}}$$
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$$\displaystyle{\frac{2}{9}, \frac{1}{4}}$$
Explanation
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 $$\dfrac{1}{2}$$.
What mixed number represents the shaded portion of the two models shown below?
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1$$\displaystyle{\frac{2}{6}}$$
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1$$\displaystyle{\frac{4}{6}}$$
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2$$\displaystyle{\frac{4}{6}}$$
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2$$\displaystyle{\frac{2}{4}}$$
$$\displaystyle \frac { 1 }{ 6 } $$ of 48 liter = ........ liter
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7
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1
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8
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6
Explanation
$$\dfrac{1}{6}$$ of 48 liter
=
$$\dfrac{1}{6}\times$$
48 liter
=8 liter
What is the sum of the shaded parts?
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$$\displaystyle \frac {1}{4}$$
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$$\displaystyle \frac {1}{2}$$
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$$\displaystyle \frac {3}{4}$$
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$$1$$
Explanation
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
$$\dfrac { 3 }{ 4 }$$
What fraction of the fruits on the plate are apples?
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$$\displaystyle \frac {4}{13}$$
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$$\displaystyle \frac {1}{13}$$
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$$\displaystyle \frac {5}{13}$$
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$$\displaystyle \frac {3}{13}$$
Explanation
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
$$\dfrac { 3 }{ 13 }$$
In which figure does the shaded part represents $$\displaystyle \frac{1}{3}$$ of the complete figure
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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 i
s
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$$\displaystyle \frac{2}{5}$$
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$$\displaystyle \frac{3}{5}$$
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$$\displaystyle \frac{8}{5}$$
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$$\displaystyle \frac{8}{10}$$
_________ make one whole.
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Three fourths
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Four fourths
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Two fourths
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Five fourths
Explanation
Fourth part of one can be written as $$\dfrac{1}{4}$$.
We take this fourth part four times, we will get the whole.
Example $$\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}$$ $$=\dfrac{4}{4}$$ which is equal to $$1$$.
Hence, the answer is four fourths.
_____ make one whole.
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One half
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Two halves
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Three halves
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Five halves
Explanation
As we know that we can break whole into half and other parts also.
But only two halves can make a whole.
Hence, the answer is two halves.
______ are there in one whole.
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Two thirds
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One third
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Three thirds
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Five thirds
Explanation
Three third can make one whole part.
Example $$\dfrac{1}{3}+\dfrac{1}{3}+\dfrac{1}{3}$$ $$=\dfrac{3}{3}$$ which is equal to $$1$$
Hence, the answer is three thirds.
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