Presentation of Data Test

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Presentation of Data Test - 38

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Weekly Quiz Competition

Question 1
1 / -0

Study the pie chart and answer the given questions.
The total expenditure of a company for a particular month is $$Rs.\; 60000$$. The various heads of expenditure I to IV are indicated in a pie chart given below. These heads are:
I. Raw materials
II. Conveyance
III. Electricity
IV. Overhead expenses.
What is the difference in the expenditures of conveyance and electricity?

A
$$Rs.\; 3,000$$

B
$$Rs. \;6,000$$

C
$$Rs.\; 9,000$$

D
$$Rs.\; 12,000$$

Solution

$$ 90^{\circ} - 72^{\circ} =18^{\circ}$$
So, we can say that difference in the expenditure incurred on conveyance and electricity is equal to amount corresponding to $$18^\circ.$$

$$\begin{aligned}{}\frac{{18}}{{360}} \times 100 &= 5\% \\\frac{5}{{100}} \times 60000& =Rs.\; 3000\end{aligned}$$
Question 2
1 / -0

Choose the correct answers from the alternatives given.
Directions for questions 71 to 75 : Study the pie chart carefully to answer the questions that follow.
Percentage distribution of students in different courses.
What is the sectorial angle made by the percentage of students in B.Sc.?
The Total number of student = 6500

A
$$30^{\circ}$$

B
$$72^{\circ}$$

C
$$108^{\circ}$$

D
$$60^{\circ}$$

Solution

$$\Rightarrow$$ Percentage of students in $$B.Sc.=30\%$$
$$\Rightarrow$$ Sectorial angle of students in $$B.Sc=\%\,of\,B.Sc.\,students\times 360^o$$
$$=30\%\times 360^o$$
$$=\dfrac{30}{100}\times 360^o$$
$$=108^o$$
Question 3
1 / -0

Choose the correct answers from the alternatives given.
Directions for questions $$71$$ to $$75$$ : Study the pie chart carefully to answer the questions that follow.
Percentage distribution of students in different courses.
What is the total number of students in B.Ed., Pharmacy and MBBS together?
The Total number of student = $$6500$$

A
$$2465$$

B
$$2665$$

C
$$2405$$

D
$$2504$$

Solution

$$\Rightarrow$$ Total number of students $$=6500$$
$$\Rightarrow$$ Percentage of students in B.Ed. $$=18\%$$
$$\Rightarrow$$ Percentage of students in Pharmacy $$=13\%$$
$$\Rightarrow$$ Percentage of students in MBBS $$=6\%$$
$$\Rightarrow$$ Total percentage of students in B.Ed., Pharmacy and MBBS $$=18\%+13\%+6\%=37\%$$
$$\Rightarrow$$ The total number students in B.Ed, Pharmacy and MBBS $$=\dfrac{37}{100}\times 6500=2405$$
Question 4
1 / -0

Study the pie chart and answer the given questions.
The total expenditure of a company for a particular month is $$Rs. 60000$$. The various heads of expenditure I to IV are indicated in a pie chart given below. These heads are:
I. Raw materials
II. Conveyance
III. Electricity
IV. Overhead expenses.
What percentage of total expenditure is on electricity?

A
$$30$$%

B
$$25$$%

C
$$33\dfrac {1}{2}$$%

D
$$20$$%

Solution

Corresponding angle for expenditure on electricity $$= 72^{\circ}$$
Expenditure on electricity $$= \dfrac {72}{360}\times 100 = 20$$%.
Question 5
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Study the following information carefully and answer the questions given below. A Survey of film watching habits of people living in five cities P. Q R, S and T is summarised below in a table. The column 1 in the table gives percentage of film-watchers in each city who see only one film in a week.
The column II gives the total number of film-watchers who see two or more films per week.
A city with the minimum number of film-watchers is

A
P

B
Q

C
S

D
T

Solution

Number of film-watcher in city
P= $$\displaystyle\, \frac{24000}{40} \times 100$$ =60000

Q= $$\displaystyle\, \frac{30000}{80} \times 100$$ =37500

R= $$\displaystyle\, \frac{24000}{15} \times 100$$ =160000

S= $$\displaystyle\, \frac{27000}{45} \times 100$$ =60000

T= $$\displaystyle\, \frac{80000}{25} \times 100$$ =320000
Hence, Q has minimum number of film watchers.
Question 6
1 / -0

The following pie chart shows the result of a survey among $$100$$ students regarding their subject preference.
The preference of students preferring Botany is less than that of Social Science by

A
$$18$$

B
$$5$$

C
$$20$$

D
$$25$$

Solution

Required percentage = $$\cfrac{72-54}{72} \times 100 = \cfrac{18}{72} \times 100 = 25\%$$
Question 7
1 / -0

Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Revenue earned by the Central Government is given in Pie-chart. Study the pie-chart and answer the given questions.
A = Customs duty
B = Others
C = Income Tax
D = Corporation Tax
E = Excise duty
What would be the approximate central angle for the revenue earned by the others sources ?

A
36$$^\circ$$

B
72$$^\circ$$

C
108$$^\circ$$

D
150$$^\circ$$

Solution

Required angle will be $$\frac{10}{100} \times 360^{\circ} = 36^{\circ}$$
Question 8
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What is the sectorial angle corresponding to the money spent by the family in savings, clothing and others together?

A
$$144^{\circ}$$

B
$$162^{\circ}$$

C
$$108^{\circ}$$

D
$$180^{\circ}$$

Solution

$$\Rightarrow$$ Percentage of money spend in saving $$=15\%$$
$$\Rightarrow$$ Percentage of money spend in clothing $$=10\%$$
$$\Rightarrow$$ Percentage of money spend in other things $$=20\%$$
$$\Rightarrow$$ Total percentage of money spend in saving, clothing and other things $$=15\%+10\%+20\%=45\%$$
$$\Rightarrow$$ The sectorial angle corresponding to money spend in savings, clothing and other together $$=45\% \,of\,360^o$$
$$=\dfrac{45}{100}\times 360^o$$
$$=162^o$$
Question 9
1 / -0

If the total amount spent during the year 2010 was Rs. 46000, the amount spent on food, was

A
$$Rs. 2000$$

B
$$Rs. 10580$$

C
$$Rs. 23000$$

D
$$Rs. 2300$$

Solution

: Total amount spent = $$Rs. 46000$$
Amount spent on food $$23\%$$ of $$46000$$
Let $$A$$ be the required amount.
$$A=\displaystyle \frac{23}{100} \, \times \, 46000$$
$$= Rs. 10580$$
Hence, the amount spent on food is $$Rs. 10580$$
Question 10
1 / -0

Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Revenue earned by the Central Government is given in Pie-chart. Study the pie-chart and answer the given questions.
A = Customs duty
B = Others
C = Income Tax
D = Corporation Tax
E = Excise duty
If the income of Central Government from Excise duty is Rs. 28,618 crores, then the total revenue earned by the government is

A
Rs. 58,900 crores

B
Rs. 47,200 crores

C
Rs. 69,800 crores

D
Rs. 45,600 crores

Solution

Let the total revenue be Rs. x.
= $$\frac{41}{100} \times x $$ = 28618
x = Rs. 69800 crores