Presentation of Data Test

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Presentation of Data Test - 25

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Weekly Quiz Competition

Question 1
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Directions For Questions

A courier person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

...view full instructions

Fastest ride is from interval :

A
8 a.m to 9 a.m

B
9 a.m to 10 a.m

C
10 a.m to 11 a.m

D
11 a.m to 12 noon

Solution

Time
Period Distance
covered

8am-9am $$10 - 0 = 10 km$$

9am-10am $$16 - 10 = 6 km$$

10am-10.30am $$0 km$$

10.30am-12am $$22 - 16= 6 km$$
The person ride fastest during 8am to 9am.

Question 2

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Annual Development Expenditure of a state under different heads is as follows :
Agriculture $$40\%$$
Education $$35\%$$
Industry $$15\%$$
Misc. $$10\%$$
Which one of the following charts represents this information ?

Solution

For pie diagram, find the sectorial angle in
each case as follows

		Angle
Agriculture	$$40\%$$	$$=\cfrac{(360 \times 40)}{100}$$	$$=144^{\circ}$$
Education	$$35\%$$	$$=\cfrac{(360 \times 35)}{100}$$	$$=126^{\circ}$$
Industry	$$15\%$$	$$=\cfrac{(360 \times 15)}{100}$$	$$=54^{\circ}$$
Miscellaneous	$$10\%$$	$$=\cfrac{(360 \times 10)}{100}$$	$$=36^{\circ}$$

Question 3
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Directions For Questions

The following diagram represents the sectorwise loan amount in crores of Rs. $$180$$ distributed by a bank. From the information, answer the following question:

...view full instructions

Find the loan amount for agriculture sector.

A
Rs. 60 crore

B
Rs. 70 crore

C
Rs. 80 crore

D
Rs. 90 crore

Solution

Total loan is $$= 180$$ crore Rs.
Agriculture sector has an amount of $$120^{o}$$ out of $$360^{o}$$ i.e. $$\left(\dfrac{1}{3}\right)^{rd}$$ part.
$$\therefore$$ Part of agriculture $$=\left(\dfrac{1}{3}\right)^{rd}$$ of $$180$$ crore
$$=\dfrac{180}{3}=60$$ crore Rs.
Hence, loan amount for agriculture sector is $$60$$ crore Rs.
Question 4
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Directions For Questions

The following diagram represents the sectorwise loan amount in crores of Rs. $$180$$ distributed by a bank. From the information, answer the following question:

...view full instructions

How much additional amount did industrial sector receive than agriculture sector ?

A
$$20$$ crore Rs.

B
$$30$$ crore Rs.

C
$$40$$ crore Rs.

D
$$50$$ crore Rs.

Solution

Loan amount of agriculture $$= 60$$ crore
Total loan $$= 180$$ crore
Fraction of industrial sector $$=\dfrac { (360 - 120 - 40) }{360}$$
$$ = \dfrac {200 }{ 360}$$
So, loan amount of industrial sector $$= 180 \times \left (\dfrac {200 }{ 360}\right)$$
$$= 100$$ crore
Differece between industrial sector and agriculture is $$= 100 - 60 $$
$$= 40$$ crore Rs
Question 5
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Directions For Questions

The given histogram shows per day wages of workers in a factory.
With the help of the given histogram, answer the following :

...view full instructions

How many workers have their wages between Rs. $$90$$ and Rs. $$120$$?

A
24

B
34

C
44

D
54

Solution

Number of workers $$( 90$$ Rs. $$- 100 $$ Rs.$$) = 6$$
Number of workers $$( 100$$ Rs. $$- 110$$ Rs.$$) = 10$$
Number of workers $$( 110$$ Rs. $$- 120$$ Rs.$$) = 18$$
Total number of workers $$( 90$$ Rs. $$- 120$$ Rs.$$) = 18+10+6
=34$$
Question 6
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Directions For Questions

The given histogram shows per day wages of workers in a factory.
With the help of the given histogram, answer the following :

...view full instructions

Express the number of workers with wages less than Rs 110 as the percent of the number of workers with wages more than Rs 100.

A
$$28$$%

B
$$38$$%

C
$$38\frac{6}{13}$$%

D
None of these

Solution

Answer:-
Converting the histogram into frequency distribution table-

Wages No. of workers
80-90 4
90-100 6
100-110 10
110-120 18
120-130 16
130-140 8
No. of workers with wage less than Rs. 110 = 4 + 6 + 10 = 20
No. of workers with wage more tthan Rs. 100 = 10 + 18 + 16 + 8 = 52
Percentage = $$ \cfrac{20}{52} \times 100 \% = \cfrac{500}{13} \% = 38\cfrac{6}{13}\% $$
Question 7
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Directions For Questions

The histogram, given alongside, shows the heights of students (in centimetre) and their numbers.
Use the given histogram to answer the following :

...view full instructions

How many students have their height less than 140 cm ?

A
$$31$$

B
$$32$$

C
$$33$$

D
$$34$$

Solution

Number of students in $$(125$$ cm $$- 130$$ cm$$) = 6$$
Number of students in $$(130$$ cm $$- 135$$ cm$$) = 8$$
Number of students in $$(135$$ cm $$- 140$$ cm) $$= 20$$
So, total number of students less than $$140$$ cm. $$= 20+6+8=34$$
Question 8
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Directions For Questions

The histogram, given alongside, shows the heights of students (in centimetre) and their numbers.
Use the given histogram to answer the following :

...view full instructions

How many students have their height more than $$135$$ cm and less than $$155$$ cm ?

A
$$56$$

B
$$66$$

C
$$76$$

D
$$86$$

Solution

Number of students in $$(135$$ cm $$- 140$$ cm$$) = 20$$
Number of students in $$(140$$ cm $$- 145$$ cm$$) = 18$$
Number of students in $$(145$$ cm $$- 150$$ cm$$) = 16$$
Number of students in $$(150$$ cm $$- 155$$ cm$$) = 12$$
Total number of student with height $$( 135$$ cm $$- 155$$ cm$$) = 20+18+16+12
=66$$
Question 9
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Directions For Questions

The following pie diagram represents expenditure on different items in constructing a building. Answer the following questions.

...view full instructions

Which is the item having the maximum expenditure?

A
Bricks

B
Labour

C
Cement

D
Steel

Solution

The biggest part in circle is of labour which $$100$$ out of $$360$$.
So, labour will have the maximum expenditure.
Question 10
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Directions For Questions

The given histogram shows per day wages of workers in a factory.
With the help of the given histogram, answer the following :

...view full instructions

How many workers get maximum wages ?

A
$$12$$

B
$$15$$

C
$$18$$

D
$$21$$

Solution

Given, histogram shows per day wages of workers in a factory.
From the histogram, the number of workers who get maximum wages is $$18$$ (i.e., 110-120 rs are given to maximum number of workers)