Presentation of Data Test

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Presentation of Data Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from $1995$ to $2001$ .
The imports were minimum proportionate to the exports of the company in the year ?

A
$1995$

B
$1996$

C
$1997$

D
$2000$

Solution

The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.
Now, this ratio has a minimum value $0.35$ in $1997$

Hence, the imports are minimum proportionate to the exports in $1997$ .

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Question 2
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If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?

A
Rs. 370 crores

B
Rs. 320 crores

C
Rs. 280 crores

D
Rs. 275 crores

Solution

Ratio of imports to exports in the year 1996 = 0.85.
Let the exports in 1996 = Rs. x crores.
Then, $\displaystyle \frac { 272 }{ x } =0.85\Rightarrow x=\frac { 272 }{ 0.85 } =320$
$\displaystyle \therefore$ Exports in 1996 = Rs. 320 crores.

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Question 3
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Brain and Jared live in the same apartment complex and they both bike to and from the work every day. The figure above shows a typical commute home for each of them. Based on the figure, which of the following statements is true?

A
It takes Brain longer to bike home because his work is farther away.

B
It takes Jared longer to bike home because his work is farther away.

C
Jared and Brain arrive home at the same time, so they must bike at about the same rate.

D
Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.

Solution

$\Rightarrow$ In the given figure we can see Jared's distance between workplace and the apartment is more than Brain's.
$\Rightarrow$ Jared takes the same time as Brain to travel that distance.
$\therefore$ Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.

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Question 4
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In how many of the given years were the exports more than the imports ?

A
1

B
2

C
3

D
4

Solution

The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.
Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.
Thus, there are four such years.

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Question 5
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Directions For Questions

The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and the answer the questions based on it.

...view full instructions

What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

A
$15^0$

B
$24^0$

C
$54^0$

D
$58^0$

Solution

Central angle corresponding to Royalty $=(15\% \,of\,360)^0$
$=\left(\frac{15}{100}\times 360\right)^o$
$=54^o$

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Question 6
1 / -0

Tabulations of data such as mean, standard deviation, mode, range, or frequency is done in a :

A
textual table

B
statistical table

C
numerical table

D
any of the above

Solution

Tabulations of data such as mean, standard deviation, mode, range, or frequency is done in a statistical table.

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Question 7
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Directions For Questions

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

...view full instructions

If the total number of candidates appeared in 1996 and 1997 together was 47400, then the total number of candidates qualified in these two years together was?

A
34700

B
32100

C
31500

D
Data inadequate

Solution

The total number of candidates qualified in 1996 and 1997 together, cannot be determined until we know at least, the number of candidates appeared in any one of the two years 1996 or 1997 or the percentage of candidates qualified to appeared in 1996 and 1997 together.
Hence, the data is inadequate.

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Question 8
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Directions For Questions

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.

...view full instructions

What percentage of the total investment is coming from FII's and NRI's ?

A
$33 \%$

B
$11\%$

C
$44 \%$

D
$22 \%$

Solution

Total investment coming from NRI and FII is $(33 + 11)\% = 44\%$

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Question 9
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Directions For Questions

The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given below it.

...view full instructions

What percent of total spending is spent on Tennis?

A
$12\frac{1}{2}\%$

B
$22\frac{1}{2}\%$

C
25%

D
45%

Solution

In the given pi-chart measure of central angle of tennis is $45^o$
Measure of all central angles is $360^o$
Let $S$ be the percentage of money spend on tennis
$S= \left(\dfrac{45}{360}\times 100\right) \% \\=\dfrac{5}{40}\times 100\\= 12\dfrac{1}{2}$

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Question 10
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Directions For Questions

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

...view full instructions

The difference between the percentage of candidates qualified to appeared was maximum in which of the following pairs of years?

A
1994 and 1995

B
1997 and 1998

C
1998 and 1999

D
1999 and 2000

Solution

The differences between the percentages of candidates qualified to appeared for the give pairs of years are:
For 1994 and 1995 = 50 - 30 = 20.
For 1998 and 1999 = 80 - 80 = 0.
For 1994 and 1997 = 50 - 30 = 20.
For 1997 and 1998 = 80 - 50 = 30.
For 1999 and 2000 = 80 - 60 = 20.
Thus, the maximum difference is between the years 1997 and 1998.

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Presentation of Data Test - 15

Result

Presentation of Data Test - 15

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SHARING IS CARING

Question 1

199519951995

199619961996

199719971997

200020002000

Solution

Question 2

Rs. 370 crores

Rs. 320 crores

Rs. 280 crores

Rs. 275 crores

Solution

Question 3

It takes Brain longer to bike home because his work is farther away.

It takes Jared longer to bike home because his work is farther away.

Jared and Brain arrive home at the same time, so they must bike at about the same rate.

Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.

Solution

Question 4

1

2

3

4

Solution

Question 5

15015^0150

24024^0240

54054^0540

58058^0580

Solution

Question 6

textual table

statistical table

numerical table

any of the above

Solution

Question 7

34700

32100

31500

Data inadequate

Solution

Question 8

33%33 \%33%

11%11\%11%

44%44 \%44%

22%22 \%22%

Solution

Question 9

1212%12\frac{1}{2}\%1221​%

2212%22\frac{1}{2}\%2221​%

25%

45%

Solution

Question 10

1994 and 1995

1997 and 1998

1998 and 1999

1999 and 2000

Solution

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$1995$

$1996$

$1997$

$2000$

$15^0$

$24^0$

$54^0$

$58^0$

$33 \%$

$11\%$

$44 \%$

$22 \%$

$12\frac{1}{2}\%$

$22\frac{1}{2}\%$