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CBSE Questions for Class 5 Maths Parts And Whole Quiz 5 - MCQExams.com
CBSE
Class 5 Maths
Parts And Whole
Quiz 5
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?
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Both Statement-$$1$$ and Statement-$$2$$ are true
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Statement-$$1$$ is true but Statement-$$2$$ is false
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Statement-$$1$$ is false but Statement-$$2$$ is true
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Both Statement-$$1$$ and Statement-$$2$$ are false
Explanation
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.
How many more unit squares in the figure must be shaded so that the fraction of shaded squares is $$\displaystyle\frac{7}{9}$$?
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$$1$$
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$$3$$
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$$6$$
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$$8$$
Explanation
Total number of unit square is $$18$$
$$\Rightarrow$$ Let total number of shaded squares be $$x$$.
$$\Rightarrow$$ Fraction of shaded squares is $$\dfrac{7}{9}$$
$$\rightarrow$$ According to the question,
$$\Rightarrow$$ $$\dfrac{7}{9}=\dfrac{x}{18}$$
$$\Rightarrow$$ $$x=\dfrac{7}{9}\times {18}$$
$$\Rightarrow$$ $$x=14$$
$$\Rightarrow$$ Out of these $$14$$ squares $$6$$ are shaded.
$$\therefore$$ We have to shade $$8$$ more squares.
What fraction of the figure is shaded?
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$$\displaystyle\frac{4}{9}$$
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$$\displaystyle\frac{1}{2}$$
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$$\displaystyle\frac{5}{9}$$
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$$\displaystyle\frac{2}{3}$$
Explanation
If we rearrange the figure then we can conclude that out of $$9$$ squares, $$4.5$$ squares are shaded
So the fraction of figure which is shaded is $$\dfrac{4.5}{9}=\dfrac{1}{2}$$
What fraction of the given circles is crossed?
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$$\dfrac{3}{8}$$
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$$\dfrac{4}{8}$$
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$$\dfrac{5}{8}$$
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$$\dfrac{7}{8}$$
Explanation
Total number of circle = 8
Number of crossed circles = 5
$$\therefore$$Required fraction = $$\dfrac{5}{8}$$
Which of the following options is CORRECT for the fraction of shaded parts in figures $$I$$ and $$II$$?
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$$I > II$$
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$$II > I$$
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$$I = II$$
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Can't be determined
Explanation
Number of equal parts in Figure $$I = 24$$
Number of shaded parts in Figure $$I = 20$$
$$\therefore$$ Required shaded fraction for figure $$I = \dfrac {20}{24} = \dfrac {5}{6}$$
Number of equal parts in figure $$II = 40$$
Number of shaded parts in figure $$II = 32$$
$$\therefore$$ Required shaded fraction for figure $$II = \dfrac {32}{40} = \dfrac {4}{5}$$
Now, $$\dfrac {5}{6} = \dfrac {5\times 5}{6\times 5} = \dfrac {25}{30}$$
and $$\dfrac {4}{5} = \dfrac {4\times 6}{5\times 6} = \dfrac {24}{30}$$
$$\because \dfrac {25}{30} > \dfrac {24}{30}$$
$$\therefore I > II$$.
State true or false:
The fraction represented by the shaded portion in the adjoining figure is $$ \frac{3}{8} $$.
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True
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False
Explanation
The figure shows that number of total part is $$ 8$$ and out of these $$ 3 $$ parts is shaded.
$$ \therefore $$ The required fraction is $$ \frac {3}{8} $$
Monthly salary of a person is $$ Rs.15000 $$. The central angle of the sector representing his expenses on food and house rent on a pie chart is $$ 60^o $$. The amount he spend on food and house rent is
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$$ 5000 $$
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$$ 2500 $$
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$$ 6000 $$
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$$ 9000 $$
Explanation
As, total salary= $$ 15000 $$, expenses on food and house rent= $$ 60^o $$
Food and housing expenses from monthly salary= $$ \dfrac{Central\quad angle\quad of\quad the \quad part\quad of \quad pie \quad chart}{ Central\quad angle\quad of \quad the \quad pie \quad chart} $$
Given that,
Part of salary spent on food and house rent= $$ \dfrac{60^o}{360^o}= \dfrac{1}{6}$$
Salary spent in amount on food and housing= $$ \dfrac{1}{6}\times 15000 $$
$$ \therefore 2500 $$ Rs is total amount spent on food and house rent.
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
Here the shaded triangles represent half of the area of the square.
Therefore, the number of shaded squares are $$=1+0.5+0.5+0.5=2.5$$
The total number of squares are $$=12$$
So, the shaded fraction $$=\dfrac{2.5}{12}=\dfrac{2.5\times2}{12\times2}=\dfrac{5}{24}$$
What part of the circle is coloured?
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$$\dfrac{2}{8}$$
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$$\dfrac{1}{8}$$
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$$\dfrac{3}{8}$$
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$$\dfrac{1}{2}$$
Explanation
There is 8 parts in circle and 3 part is coloured.
So, total parts=8 (=Denominator)
coloured parts=3 (=numerator)
so, $$fraction=3/8$$
What part of the rectangle is blue and what part is grey?
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Blue part $$\dfrac{1}{16}$$ Grey part $$\dfrac{3}{16}$$
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Blue part $$\dfrac{1}{8}$$ Grey part $$\dfrac{4}{32}$$
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Blue part $$\dfrac{1}{4}$$ Grey part $$\dfrac{3}{4}$$
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Blue part $$\dfrac{4}{32} $$ Grey part $$\dfrac{3}{32}$$
What part of the hexagon is coloured?
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$$\dfrac{1}{6}$$
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$$\dfrac{1}{8}$$
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$$\dfrac{1}{5}$$
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$$\dfrac{1}{4}$$
What part of the circle is coloured?
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$$\dfrac{1}{4}$$
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$$\dfrac{1}{8}$$
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$$\dfrac{4}{8}$$
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$$\dfrac{2}{8}$$
Explanation
There is 8 parts in circle and 1 part is coloured.
So, total parts=8 (=Denominator)
coloured parts=1 (=numerator)
so, $$fraction=1/8$$
What part of the circle is blue and what part is red?
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Blue part $$\dfrac{1}{4}$$ Red part $$\dfrac{1}{2}$$
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Blue part $$\dfrac{1}{2}$$ Red part $$\dfrac{1}{4}$$
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Blue part $$\dfrac{1}{2}$$ Red part $$\dfrac{1}{2}$$
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Blue part $$\dfrac{1}{4}$$ Red part $$\dfrac{1}{4}$$
What part of the circle is blue and what part is grey?
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Blue part $$\dfrac{1}{4}$$ Grey part $$\dfrac{3}{4}$$
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Blue part $$\dfrac{1}{2}$$ Grey part $$\dfrac{1}{2}$$
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Blue part $$\dfrac{1}{4}$$ Grey part $$\dfrac{1}{2}$$
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Blue part $$\dfrac{1}{2}$$ Grey part $$\dfrac{3}{4}$$
Which part of the rectangle is coloured?
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$$\dfrac{3}{6}$$
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$$\dfrac{1}{2}$$
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Both A and B
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None of the above
1) What part of the pink strip is each pink piece?
2) What part of the blue strip is each blue piece?
3) What part of the green strip is each green piece?
4) What part of the orange strip is each orange piece?
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$$1$$, $$\dfrac{1}{2}$$, $$\dfrac{1}{4}$$, $$\dfrac{1}{8}$$
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$$1$$, $$\dfrac{1}{4}$$, $$\dfrac{1}{6}$$, $$\dfrac{1}{8}$$
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$$\dfrac{1}{2}$$, $$\dfrac{1}{4}$$, $$\dfrac{1}{6}$$, $$\dfrac{1}{8}$$
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None of the above
10 paise is which part of 1 rupee?
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4th part
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8th part
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10th part
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7th part
How much part of the figure is coloured blue?
How much is coloured green?
How much is coloured yellow?
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$$\dfrac{2}{16}$$, $$\dfrac{1}{16}$$, $$\dfrac{1}{2}$$
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$$\dfrac{1}{8}$$, $$\dfrac{1}{16}$$, $$\dfrac{1}{2}$$
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$$\dfrac{2}{16}$$, $$\dfrac{1}{8}$$, $$\dfrac{1}{4}$$
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Both A and B
How many 50 paise coins will make 10 Rupees?
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10 coins
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20 coins
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30 coins
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40 coins
Show that half of half and one third of three quarters is same.
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Its same
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Its not same
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Can't say
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Invalid question
What is the sum of the shaded parts if shaded parts are expressed in fractions?
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$$1\, \displaystyle \frac{2}{9}$$
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$$1\, \displaystyle \frac{1}{9}$$
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$$1\, \displaystyle \frac{3}{9}$$
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$$1\, \displaystyle \frac{5}{9}$$
How many parts should be shaded in the figure $$B$$ to make it the same fraction as the unshaded part in the figure A?
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$$3$$
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$$4$$
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$$8$$
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$$12$$
What is the fraction equivalent of the shaded region in the following circle?
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$$\dfrac{5}{8}$$
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$$\dfrac{3}{8}$$
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$$\dfrac{4}{5}$$
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$$\dfrac{3}{4}$$
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$$\dfrac{7}{16}$$
The given diagram shows the students who picked their favourite colour. What is the fraction of students having their favourite colour red to the total number of students?
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8/20
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4/20
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2/20
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6/20
In which of the following does the shaded part represent one third of its whole ?
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0%
0%
0%
What fraction of the children in the following group are girls?
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$$\displaystyle \frac{3}{4}$$
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$$\displaystyle \frac{4}{3}$$
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$$\displaystyle \frac{3}{7}$$
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$$\displaystyle \frac{4}{7}$$
Explanation
Total number of girls is $$3$$
Total number of boys is $$4$$
Sum of the number of girls and boys is $$3+4$$ $$=7$$.
The fractional part of girls to all the group is $$\dfrac{3}{7}$$.
The shaded part of the following strip shows
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$$\displaystyle \frac{2}{7}-\frac{1}{7}+\frac{2}{7}=\frac{3}{7}$$
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$$\displaystyle \frac{2}{7}+\frac{1}{7}-\frac{2}{7}=\frac{1}{7}$$
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$$\displaystyle \frac{2}{7}+\frac{1}{7}=\frac{3}{7}$$
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$$\displaystyle \frac{2}{7}+\frac{1}{7}+\frac{2}{7}=\frac{5}{7}$$
The given diagram shows the students who picked their favorite colour. What is the fraction of students having their favourite colour red to the total number of students?
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$$8/20$$
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$$4/20$$
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$$2/20$$
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$$6/20$$
How many parts should be shaded in the figure B to make
it the same fraction as the unshaded part in the figure A ?
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0%
3
0%
4
0%
8
0%
12
In which figure does the shaded part represents 0.3 ?
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0%
0%
0%
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