Presentation of Data Test

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Presentation of Data Test - 35

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Weekly Quiz Competition

Question 1
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The pie chart shows the road accident death by various modes in India in the year $$2012$$ .What angle is subtended by deaths due to two wheeler on the pie chart.

A
$${80}^{\circ}$$

B
$${82.8}^{\circ}$$

C
$${84.2}^{\circ}$$

D
$${86.3}^{\circ}$$

Solution

Totals deaths due to two wheeler $$=23$$ percent
Total angle subtended on pie chart $$={360}^{\circ}$$
Let $$\theta $$ be the angle subtended by deaths due to two wheeler accidents.
$$\theta =\dfrac { 23 }{ 100 } \times { 360 }^{ \circ }={ 82.8 }^{ \circ }$$
So option $$B$$ is correct.
Question 2
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Directions For Questions

The following pie graph shows the various items worth Rs. $$540$$ bought by the parents of Soham, which is shown in the percentage form in the given pie-graph when the school started. Answer the question based on that:

...view full instructions

What degree measure is shown by the sketch pen?

A
$$15^o$$

B
$$18^o$$

C
$$20^o$$

D
$$22^o$$

Solution

$$Items$$ $$Cost$$
$$(in\,\%)$$
$$Sketch-pen$$ $$5\%$$
$$Compass\,box+slate$$ $$15\%$$
$$Notebook$$ $$40\%$$
$$Bag$$ $$30\%$$
$$Water-bag$$ $$10\%$$
$$\Rightarrow$$ Cost price of sketch pen ( in $$\%$$) $$=5\%$$
$$\Rightarrow$$ Cost price of sketch pen in degree $$=\dfrac{5}{100}\times 360^o$$
$$=18^o$$
Question 3
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Directions For Questions

Adjoining pie chart gives the expenditure (in percentage) on various items and savings of a family during a month.

...view full instructions

The item on which expenditure is equal to the total savings of the family , is ____ .

A
Food

B
Others

C
Clothes

D
Education for children

Solution

Clearly as seen in the Pie Chart,

Savings $$= 15\%$$
House Rent $$= 10\%$$
Transport $$= 5\%$$
Education for Children $$= 15\%$$
Food $$= 25\%$$
Clothes $$= 10\%$$
Other $$= 20\%$$

Expenditure on Education for Children $$=$$ Total Savings of the Family $$= 15\%$$
Question 4
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Directions For Questions

A car is going on a long journey for $$16$$ hours, starting at $$5.00$$ hrs. The speed of the car at different hours is given.

...view full instructions

From the table, answer the following questions.
The percentage of increase in speed during $$9.00$$hrs and $$11.00$$ hrs is ___________.
Time(in hrs.) $$5$$ $$7$$ $$9$$ $$11$$ $$13$$ $$17$$ $$15$$ $$19$$ $$21$$
Speed (in km/hour) $$40$$ $$50$$ $$60$$ $$70$$ $$65$$ $$75$$ $$60$$ $$50$$

A
$$\displaystyle 33\frac{1}{3}\%$$

B
$$35\%$$

C
$$\displaystyle 23\frac{1}{3}\%$$

D
$$45\%$$

Solution

At $$9.00 $$ hours speed $$=60$$ km/hr
And at $$11.00 $$ it is $$=70$$ km/hr
Then, percentage increase in speed $$=\dfrac{70-60}{60}\times 100=\dfrac{100}{6}=33\dfrac{1}{3}\%$$
Question 5
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Directions For Questions

The contribution given by the students of Std. $$7$$ for Teacher's day is shown in the pie graph given below:

...view full instructions

Calculate the degree measure of the contribution by Anuj and measure it in the figure.

A
$$102^o$$

B
$$105^o$$

C
$$108^o$$

D
none

Solution

$$Students\, Name$$ $$Contribution$$
$$(in\,Rs.)$$
$$Matri$$ $$30$$
$$Dev$$ $$12$$
$$Jafar$$ $$18$$
$$Riya$$ $$24$$
$$Anuj$$ $$36$$
$$Total$$ $$120$$
$$\Rightarrow$$ Total money collected as fund is $$Rs.120.$$
$$\Rightarrow$$ Money contributed by Anuj $$=Rs.36$$
$$\Rightarrow$$ Contribution by Anuj in degree $$=\dfrac{36}{120}\times 360^o$$
$$=108^o$$
Question 6
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Directions For Questions

The following pie graph shows the various items worth Rs. $$540$$ bought by the parents of Soham, which is shown in the percentage form in the given pie-graph when the school started. Answer the question based on that:

...view full instructions

What is the cost of the bag in rupees?

A
Rs, $$160$$

B
Rs, $$162$$

C
Rs, $$165$$

D
Rs, $$168$$

Solution

$$Items$$ $$Cost$$
$$(in\,\%)$$
$$Sketch-pen$$ $$5\%$$
$$Compass\,box+slate$$ $$15\%$$
$$Notebook$$ $$40\%$$
$$Bag$$ $$30\%$$
$$Water-bag$$ $$10\%$$
$$\Rightarrow$$ Cost price of all items $$=Rs.540$$
$$\Rightarrow$$ Cost price of bag ( in $$\%$$) $$=30\%$$
$$\Rightarrow$$ Cost price of bag in rupees $$=\dfrac{30}{100}\times Rs.540$$
$$=Rs.162$$
Question 7
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Directions For Questions

The following pie graph shows the various items worth Rs. $$540$$ bought by the parents of Soham, which is shown in the percentage form in the given pie-graph when the school started. Answer the question based on that:

...view full instructions

What is the cost of the water-bag in rupees?

A
Rs. $$ 48$$

B
Rs. $$ 52$$

C
Rs. $$ 54$$

D
Rs. $$ 60$$

Solution

$$Items$$ $$Cost$$
$$(in\,\%)$$
$$Sketch-pen$$ $$5\%$$
$$Compass\,box+slate$$ $$15\%$$
$$Notebook$$ $$40\%$$
$$Bag$$ $$30\%$$
$$Water-bag$$ $$10\%$$
$$\Rightarrow$$ Cost price of all items $$=Rs.540$$
$$\Rightarrow$$ Cost price of water-bag ( in $$\%$$) $$=30\%$$
$$\Rightarrow$$ Cost price of water-bag in rupees $$=\dfrac{10}{100}\times Rs.540$$
$$=Rs.54$$
Question 8
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Study the graph and answer the following questions.
How many less burgers were sold on Thursday than on Monday?

A
$$50$$

B
$$20$$

C
$$35$$

D
$$10$$

Solution

Number of burgers sold on Thursday $$= 30$$
Number of burgers sold on Monday $$= 50$$
Required difference $$= 50 - 30$$
$$ = 20$$
Question 9
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The data for test scores out of $$5$$ for $$10$$ students is given below:
$$3,4,1,3,5,2,4,1,3,2$$
Tabulate the given data and find how many students scored $$3$$ or more than $$3$$ marks?

A
$$5$$

B
$$6$$

C
$$8$$

D
$$10$$

Solution

Number greater than and equal to $$3$$ Number of times
$$3$$ $$3$$
$$4$$ $$2$$
$$5$$ $$1$$
The number to be counted from the test score will be $$3$$, $$ 4$$and $$5$$
In the following data,
we observe that $$3$$ will be three times
$$4$$ will be two times.
$$5$$ will be one time
$$(3+2+1)=6$$ students scored $$3$$ or more than $$3$$ marks.
Question 10
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As shown in the pie graph, Ajaybhai bought $$3600$$ kilogram grains from the market for his shop during the day, answer the following question:
How many kilogram of Castor-seeds are there?

A
$$700$$ kilogram

B
$$800$$ kilogram

C
$$900$$ kilogram

D
$$950$$ kilogram

Solution

$$\Rightarrow$$ Total number of grains Ajaybhai bought from market $$=3600\,kg$$
$$\Rightarrow$$ Percentage of Castor-seeds Ajaybhai bought from market $$=25\%$$.
$$\Rightarrow$$ Castor-seeds Ajaybhai bought from market in kilogram $$=\dfrac{25}{100}\times 3600=900\,kg$$