Correlation Test

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Correlation Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Choose the negative correlation between two variables.

A
Increase in temperature leads to increase in sales of air conditioners.

B
As chicken gets older , they lay fewer eggs.

C
As sedentary lifestyle is growing , home delivery business is making huge business

D
None of the above.

Solution

Since as a chicken gets order, they lay fewer eggs shows negative correlation.
Question 2
1 / -0

If increase in value of one variable is accompanied by the proprtional increase in second variable, then corrrelation between two variables is

A
perfect positive

B
perfect negative

C
imperfect positive

D
imperfect negative

Solution

If increase in value of one variable is accompanied by the proprtional increase in second variable, then corrrelation between two variables is perfect positive.
Question 3
1 / -0

Choose the example of negative correlation.

A
Increase in traffic correlation leads to increase in air pollution

B
As sound pollution is growing , problems related to brain is also increasing.

C
As Sedentary lifestyle is increasing , home delivering business are growing.

D
None of the above

Solution

Since $$A,B$$ and $$C$$ shows positive corelations.

Question 4

1 / -0

Directions For Questions

Study the following table and answer the questions based on it.
Expenditure of a Company (in Lakh Rupees) per Annum Over the given years.

Year	Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
$$1998$$	$$288$$	$$98$$	$$3.00$$	$$23.4$$	$$83$$
$$1999$$	$$342$$	$$112$$	$$2.52$$	$$32.5$$	$$108$$
$$2000$$	$$324$$	$$101$$	$$3.84$$	$$41.6$$	$$74$$
$$2001$$	$$336$$	$$133$$	$$3.68$$	$$36.4$$	$$88$$
$$2002$$	$$420$$	$$142$$	$$3.96$$	$$49.4$$	$$98$$

...view full instructions

The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?

$$0.1$$%

$$0.5$$%

$$1$$%

$$1.25$$%

Solution

Required percentage $$= \left [\dfrac {(3.00 + 2.52 + 3.82 + 3.68 + 3.96)}{(288 + 342 + 324 + 336 + 420)} \times 100\right ]$$%
$$= \left [\dfrac {17}{1710}\times 100\right ]$$%
$$\approx 1$$%.

Question 5

1 / -0

Directions For Questions

Study the following table and answer the questions based on it.
Expenditure of a Company (in Lakh Rupees) per Annum Over the given years.

Year	Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
$$1998$$	$$288$$	$$98$$	$$3.00$$	$$23.4$$	$$83$$
$$1999$$	$$342$$	$$112$$	$$2.52$$	$$32.5$$	$$108$$
$$2000$$	$$324$$	$$101$$	$$3.84$$	$$41.6$$	$$74$$
$$2001$$	$$336$$	$$133$$	$$3.68$$	$$36.4$$	$$88$$
$$2002$$	$$420$$	$$142$$	$$3.96$$	$$49.4$$	$$98$$

...view full instructions

The total expenditure of the company over these items during the year $$2000$$ is?

$$Rs. 544.44\ lakhs$$

$$Rs. 501.11\ lakhs$$

$$Rs. 446.46\ lakhs$$

$$Rs. 478.87\ lakhs$$

Solution

Total expenditure of the Company during $$2000$$
$$= Rs. (324 + 101 + 3.84 + 41.6 + 74)lakhs$$
$$= Rs. 544.44\ lakhs$$.

Question 6

1 / -0

Directions For Questions

The following table given the percentage of marks obtained by seven students in six different subjects in an examination.
The Numbers in the Brackets give the Maximum Marks in Each Subject.

			Subject (Max. Marks)
Students	Maths	Chemistry	Physics	Geography	History	Computer Science
	$$(150)$$	$$(130)$$	$$(120)$$	$$(100)$$	$$(60)$$	$$(40)$$
Ayush	$$90$$	$$50$$	$$90$$	$$60$$	$$70$$	$$80$$
Aman	$$100$$	$$80$$	$$80$$	$$40$$	$$80$$	$$70$$
Sajal	$$90$$	$$60$$	$$70$$	$$70$$	$$90$$	$$70$$
Rohit	$$80$$	$$65$$	$$80$$	$$80$$	$$60$$	$$60$$
Muskan	$$80$$	$$65$$	$$85$$	$$95$$	$$50$$	$$90$$
Tanvi	$$70$$	$$75$$	$$65$$	$$85$$	$$40$$	$$60$$
Tarun	$$65$$	$$35$$	$$50$$	$$77$$	$$80$$	$$80$$

...view full instructions

What was the aggregate of marks obtained by Sajal in all the six subjects?

$$409$$

$$419$$

$$429$$

$$449$$

Solution

Aggregate marks obtained by Sajal
$$= [(90$$% of $$150) + (60$$% of $$130) + (70$$% of $$120) + (70$$% of $$100) + (90$$% + of $$60) + (70$$% of $$40)]$$
$$= 135 + 78 + 84 + 70 + 54 + 28]$$
$$= 449$$.

Question 7
1 / -0

Choose the positively correlated variables.

A
Increase in temperature leads to increase in sales of air conditioners.

B
As people get older , they become more stronger.

C
increase in alcohol consumption leads to increase in savings

D
None of these

Solution

As the temperature increases the scale of air conditioner also increases.

Question 8

1 / -0

Directions For Questions

Study the following table and answer the questions based on it.
Expenditure of a Company (in Lakh Rupees) per Annum Over the given years.

Year	Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
$$1998$$	$$288$$	$$98$$	$$3.00$$	$$23.4$$	$$83$$
$$1999$$	$$342$$	$$112$$	$$2.52$$	$$32.5$$	$$108$$
$$2000$$	$$324$$	$$101$$	$$3.84$$	$$41.6$$	$$74$$
$$2001$$	$$336$$	$$133$$	$$3.68$$	$$36.4$$	$$88$$
$$2002$$	$$420$$	$$142$$	$$3.96$$	$$49.4$$	$$98$$

...view full instructions

The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately?

$$4 : 7$$

$$10 : 13$$

$$15 :18$$

$$5 : 8$$

Solution

Required ration $$= \left [\dfrac {(83 + 108 + 74 + 88 + 98)}{(98 + 112 + 101 + 133 + 142)}\right ]$$
$$= \left [\dfrac {451}{586}\right ]$$
$$= \dfrac {1}{1.3}$$
$$= \dfrac {10}{13}$$.

Question 9

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Directions For Questions

Study the following table and answer the questions.
Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years.

State	$$1997$$	$$1997$$	$$1998$$	$$1998$$	$$1999$$	$$1999$$	$$2000$$	$$2000$$	$$2001$$	$$2001$$
	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.
M	$$5200$$	$$720$$	$$8500$$	$$980$$	$$7400$$	$$850$$	$$6800$$	$$775$$	$$9500$$	$$1125$$
N	$$7500$$	$$840$$	$$9200$$	$$1050$$	$$8450$$	$$920$$	$$9200$$	$$980$$	$$8800$$	$$1020$$
P	$$6400$$	$$780$$	$$8800$$	$$1020$$	$$7800$$	$$890$$	$$8750$$	$$1010$$	$$9750$$	$$1250$$
Q	$$8100$$	$$950$$	$$9500$$	$$1240$$	$$8700$$	$$980$$	$$9700$$	$$1200$$	$$8950$$	$$995$$
R	$$7800$$	$$870$$	$$7600$$	$$940$$	$$9800$$	$$1350$$	$$7600$$	$$945$$	$$7990$$	$$885$$

...view full instructions

What is the percentage of candidates qualified from State N for all the years together, over the candidates appeared from State N during all the years together?

$$12.36$$%

$$12.16$$%

$$11.47$$%

$$11.15$$%

Solution

Required percentage $$= \left [\dfrac {(840 + 1050 + 920 + 980 + 1020)}{(7500 + 9200 + 8450 + 9200 + 8800)}\times 100\right ]$$%
$$= \left [\dfrac {4810}{43150} \times 100\right ]$$%
$$= 11.15$$%

Question 10

1 / -0

Directions For Questions

Study the following table and answer the questions.
Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years.

State	$$1997$$	$$1997$$	$$1998$$	$$1998$$	$$1999$$	$$1999$$	$$2000$$	$$2000$$	$$2001$$	$$2001$$
	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.
M	$$5200$$	$$720$$	$$8500$$	$$980$$	$$7400$$	$$850$$	$$6800$$	$$775$$	$$9500$$	$$1125$$
N	$$7500$$	$$840$$	$$9200$$	$$1050$$	$$8450$$	$$920$$	$$9200$$	$$980$$	$$8800$$	$$1020$$
P	$$6400$$	$$780$$	$$8800$$	$$1020$$	$$7800$$	$$890$$	$$8750$$	$$1010$$	$$9750$$	$$1250$$
Q	$$8100$$	$$950$$	$$9500$$	$$1240$$	$$8700$$	$$980$$	$$9700$$	$$1200$$	$$8950$$	$$995$$
R	$$7800$$	$$870$$	$$7600$$	$$940$$	$$9800$$	$$1350$$	$$7600$$	$$945$$	$$7990$$	$$885$$

...view full instructions

Total number of candidates qualified from all the states together in $$1997$$ is approximately what percentage of the total number of candidates qualified from all the states together in $$1998$$?

$$72$$%

$$77$$%

$$80$$%

$$83$$%

Solution

Required percentage $$= \left [\dfrac {(720 + 840 + 780 + 950 + 870)}{(980 + 1050 + 1020 + 1240 + 940)} \times 100\right ]$$%
$$= \left [\dfrac {4160}{5230} \times 100\right ]$$%
$$= 79.54$$% $$\approx 80$$%.

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Correlation Test - 8

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Correlation Test - 8

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Question 1

Increase in temperature leads to increase in sales of air conditioners.

As chicken gets older , they lay fewer eggs.

As sedentary lifestyle is growing , home delivery business is making huge business

None of the above.

Solution

Question 2

perfect positive

perfect negative

imperfect positive

imperfect negative

Solution

Question 3

Increase in traffic correlation leads to increase in air pollution

As sound pollution is growing , problems related to brain is also increasing.

As Sedentary lifestyle is increasing , home delivering business are growing.

None of the above

Solution

Question 4

$$0.1$$%

$$0.5$$%

$$1$$%

$$1.25$$%

Solution

Question 5

$$Rs. 544.44\ lakhs$$

$$Rs. 501.11\ lakhs$$

$$Rs. 446.46\ lakhs$$

$$Rs. 478.87\ lakhs$$

Solution

Question 6

$$409$$

$$419$$

$$429$$

$$449$$

Solution

Question 7

Increase in temperature leads to increase in sales of air conditioners.

As people get older , they become more stronger.

increase in alcohol consumption leads to increase in savings

None of these

Solution

Question 8

$$4 : 7$$

$$10 : 13$$

$$15 :18$$

$$5 : 8$$

Solution

Question 9

$$12.36$$%

$$12.16$$%

$$11.47$$%

$$11.15$$%

Solution

Question 10

$$72$$%

$$77$$%

$$80$$%

$$83$$%

Solution

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