Data Handling Test

Result

Data Handling Test - 41

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Weekly Quiz Competition

Question 1
1 / -0

The following data gives the distribution of monthly expenses under different heads.
Type of Commodity
Expenditure (in rupees)
Food $$300$$
Rent $$200$$
Clothes $$125$$
Education $$110$$
Miscellaneous $$75$$
Savings $$90$$
A pie chart is drawn for the above data, the angle subtended at the centre for the item 'Rent' will be

A
$$20^{\circ}$$

B
$$80^{\circ}$$

C
$$85^{\circ}$$

D
$$120^{\circ}$$

Solution

$$Rs. 900$$ sweeps $$\angle 360^{\circ}$$
$$Re. 1$$ sweeps $$\dfrac {360^{\circ}}{900}$$
$$Rs. 200$$ sweeps $$\dfrac {360}{900}\times 200 = 80^{\circ}$$.
Question 2
1 / -0

Allocations to various sectors of the yearly budget for S. $$1000$$ crores are represented by the following pie diagram. The expenditure (in rupees) on agriculture is

A
$$250$$ crores

B
$$150$$ crores

C
$$300$$ crores

D
$$200$$ crores

Solution

$${ 360 }^{ o }\rightarrow Rs.1000crore\quad ,{ 1 }^{ o }\rightarrow Rs.\cfrac { 1000 }{ 360 } $$
Also, expenditure of agriculture is equivalent to $$180-54-54={ 72 }^{ o }$$
$$\Rightarrow { 72 }^{ o }\rightarrow \cfrac { 1000 }{ 360 } \times { 72 }^{ o }=Rs.200\quad crores$$
Question 3
1 / -0

In a test in Mathematics, $$20$$% of the students obtained "first class". If the data are represented by a Pie-Chart, what is the central angle corresponding to "first class"?

A
$${20}^{o}$$

B
$${36}^{o}$$

C
$${72}^{o}$$

D
$${144}^{o}$$

Solution

The Pie Chart is a part of Circle,

Total Central Angle is $$360^o$$

So, $$360^o=100\%$$
$$\Rightarrow \dfrac{360^o}{100}=1\%$$

So, $$20\%$$ $$=\dfrac{360^o}{100}\times 20=72^o$$
Question 4
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 5
1 / -0

An experiment is known to be random if the results of the experiment -

A
Cannot be predicted

B
Can be predicted

C
Can be split into further experiments

D
Can be selected at random
Question 6
1 / -0

If $$20$$ people liked classical music, how many young people were surveyed?

A
$$2000$$

B
$$20$$

C
$$200$$

D
$$none$$

Solution

$$100 \% \rightarrow 360 ^{\circ}\\ \therefore 1 \% \rightarrow (\dfrac{360}{100})^{\circ}\\ \therefore 10\% =36^{\circ}\\and \>36^{\circ}\rightarrow 20\> people \\\therefore 1^{\circ} \rightarrow (\dfrac{20}{36})\times 360 = 200\> people$$
Question 7
1 / -0

The probability of the sun setting in the west is..............

A
1.5

B
0.5

C
0

D
1

Solution
Question 8
1 / -0

Difference between people who prefer guitar over flute

A
$$11 \%$$

B
$$6.5 \%$$

C
$$7.5 \%$$

D
$$8.5 \%$$

Solution

$$\Rightarrow$$ Percentage of people who prefer guitar $$=22\%$$
$$\Rightarrow$$ Percentage of people who prefer flute $$=11\%$$
$$\Rightarrow$$ Difference between people who prefer guitar over flute $$=22\%-11\%=11\%$$
Question 9
1 / -0

People who prefer either sarod or Guitar, is greater then the total number of people who prefer either violin or Sitar by :-

A
$$2\%$$

B
$$3\%$$

C
$$1\%$$

D
$$12\%$$

Solution

$$\Rightarrow$$ Total percentage of people who prefer Sarod an Guitar $$=14\%+22\%=36\%$$
$$\Rightarrow$$ Total number of people who prefer Violin and Sitar $$=20\%+14\%=34\%$$
$$\Rightarrow$$ Required percentage of people $$=36\%-34\%=2\%$$
Question 10
1 / -0

The following bar graph shows the results of an annual examination in a secondary school. Read the bar graph and choose the alternative in each of the following:
The class having the lowest failure rate of girls is

A
VII

B
X

C
IX

D
VIII

Solution