CRE 1 - Tables | DI - Tables & Graphs

Answer: Option C

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Explanation :

The increase in the sales of the companies A, B and C together from 2007-08 to 2013-14

= Rs. (760 + 600 + 560) – (360 + 320 + 240)

= Rs. 1920 – Rs. 920

= Rs. 1000

Hence, option (c).

Answer: Option A

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Explanation :

The ratio of the sales of the companies E, F and G together in 2008-09 to that in 2009-10

= (320 + 280 + 360) : (360 + 320 + 400)

= 960 : 1080

= 8 : 9.

Hence, option (a).

Answer: Option C

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Explanation :

Sales of companies A, C and E together in 2007-08 = (360 + 240 + 280) = Rs. 880
Sales of companies A, C and E together in 2013-14 = (760 + 560 + 560) = Rs. 1880

The percentage increase in the sales of the companies A, C and E together from 2007-08 to 2013-14

= (1880 - 880)/880 × 100% ≈ 113%.

Hence, option (c).

Answer: Option B

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Explanation :

By observation we can see that sales for all companies except B at least doubled during the given period. Hence, the growth in sales for each of these companies is greater than or equal to 200%.

For B the sales increased by a factor less than 2. Hence, the growth in sales for B is less than or equal to 200%.

⇒ Growth rate is least for company B.

Alternately,
The following table shows the percentage increase in the sales of the companies from 2007-08 to 2013-14.

Clearly for the company B, the percentage increase was the lowest.

Hence, option (b).

Answer: Option C

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Explanation :

The following table shows the sales of C, D and E together in the given years and the respective increase in the sales.

Clearly, the required increase is the highest in 2013-14.

Hence, option (c).

Answer: Option C

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Explanation :

English : $\frac{\left(104+160+136+144+140\right)\times 50}{250\times 300}\times 100$ = $\frac{\left(104+160+136+144+140\right)}{5\times 300}\times 100$ = 45.6%

Maths : $\frac{(200+160+160+240+240)\times 50}{250\times 400}\times 100$ = $\frac{(200+160+160+240+240)}{5\times 400}\times 100$ = 50%

Science : $\frac{\left(160+168+150+180+160\right)\times 50}{250\times 300}\times 100$ = $\frac{\left(160+168+150+180+160\right)}{5\times 300}\times 100$ = 54.5%

Social : $\frac{\left(168+160+150+170+180\right)\times 50}{250\times 300}\times 100$ = $\frac{\left(168+160+150+170+180\right)}{5\times 300}\times 100$ = 55.2%

Hindi : $\frac{\left(80+96+84+90+84\right)\times 50}{250\times 200}\times 100$ = $\frac{\left(80+96+84+90+84\right)}{5\times 200}\times 100$ = 43.4%

In Hindi boys secured the lowest average percentage.

Hence, option (c).

Answer: Option A

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Explanation :

Total marks of girls from S2 in maths = 280 × 50 = 14000.

Hence, option (a).

Answer: Option D

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Explanation :

Total marks obtained by boys in S2 in social studies = 160 × 50 = 8000

Required total of girls = 8000 + 50% of 8000 = 12000.

∴ Average marks of girls in Maths should be 12000/50 = 240.

This is equal to the average marks obtained by girls in school S3.

Alternately,
Since the number of boys or girls in any school is same, we need not calculate total marks.

If the average of boys in S2 in social is 160, the average of girls in maths should be 160 × 1.5 = 240

Girls from S3 have average of 240 in maths.

Hence, option (d).

Answer: Option C

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Explanation :

Since the number of boys or girls in any school is same, we need not calculate total marks.

Average marks of students of school S2 in English = (160 + 168)/2 = 164

Average marks of students of school S4 in Science= (180 + 192)/2 = 186

Required ratio = 164 : 186 = 82 : 93.

Hence, option (c). 

Answer: Option B

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Explanation :

English : $\frac{\left(116+168+130+150+144\right)\times 50}{250\times 300}\times 100$ = $\frac{\left(116+168+130+150+144\right)}{5\times 300}\times 100$ = 47.2%

Maths : $\frac{\left(250+280+240+280+320\right)\times 50}{250\times 400}\times 100$ = $\frac{\left(250+280+240+280+320\right)}{5\times 400}\times 100$ = 68.5%

Science : $\frac{\left(180+180+150+192+184\right)\times 50}{250\times 300}\times 100$ = $\frac{\left(180+180+150+192+184\right)}{5\times 300}\times 100$ = 59.1%

Social : $\frac{\left(150+168+192+180+184\right)\times 50}{250\times 300}\times 100$ = $\frac{\left(150+168+192+180+184\right)}{5\times 300}\times 100$ = 58.3%

Hindi : $\frac{\left(104+100+96+112+96\right)\times 50}{250\times 200}\times 100$ = $\frac{\left(104+100+96+112+96\right)}{5\times 200}\times 100$ = 50.8%

The highest is in Maths.

Hence, option (b).

Answer: Option C

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Explanation :

Here we need to calculate the coffee yield which is coffee produced (tons) per hectare of area under coffee production.
    
∴ Yield = $\frac{\mathrm{Coffee} \mathrm{produced}}{\mathrm{Area} \mathrm{under} \mathrm{coffee} \mathrm{production}}$
    
Let us calculate the yield for California.
Coffee produced = 1.3 × 1000 tons
Area under coffee production = 21 × 10,000 × 5/100 hectares
∴ Yield = $\frac{1.3\times 1000}{21\times 10,000\times {\displaystyle \frac{5}{100}}}$ = $\frac{1.3}{21\times 5}$ × 10

Note: The factor of 10 will be same for all the states, hence to calculate yield for other states we will only have to change the corresponding values of 1.3, 21 and 5.

Yield for California = $\frac{13}{105}$5 > 0.1 [∵ 13 > 105 × 0.1]

Yield for Hawaii = $\frac{4.9}{48\times 10}$ × 10 = $\frac{49}{480}$ > 0.1 [∵ 49 > 480 × 0.1]

Yield for Florida = 12.5/(90×12) × 10 = 125/1080 > 0.1 [∵ 125 > 1080 × 0.1]

Yield for Arizona = 5.6/(31×8) × 10 = 56/248 > 0.1 

Yield for Colorado = 6.1/(25×20) × 10 = 61/500 > 0.1 

Yield for Idaho = 5.6/(33×15) × 10 = 56/495 > 0.1 

Yield for Illinois = 2.1/(19×12) × 10 = 12/228 < 0.1 [∵ 12 < 228 × 0.1] 

Yield for Georgia = 2.6/(27×10) × 10 = 26/270 > 0.1 [∵ 26 < 270 × 0.1]

Yield for Indiana = 7/(34×6) × 10 = 70/204 > 0.1 [∵ 70 > 204 × 0.1]

Yield for Iowa = 2.9/(25×8) × 10 = 29/200 > 0.1 

Yield for Kentucky = 3.6/(160×2) × 10 = 36/320 > 0.1 

Yield for Maryland = 1.4/(19×5) × 10 = 14/95 > 0.1 

Two states i.e., Illinois and Georgia failed to cross the threshold yield of 0.1.

Hence, option (c).

Answer: Option C

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Explanation :

Colorado and Iowa are the only 2 states with population less than 20 million which produce more coffee than mate.

Hence, option (c).

Answer: Option D

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Explanation :

Here we need to calculate $\frac{\mathrm{Total} \mathrm{Area}}{\mathrm{Mate} \mathrm{Production}}$ for states with population ≥ 13 million.

Let us start with Hawaii

$\frac{\mathrm{Total} \mathrm{Area}}{\mathrm{Mate} \mathrm{Production}}$ = $\frac{48\times 10,000}{3.5\times 1000}$ = $\frac{48}{3.5}$ × 10
    
 Here, the factor of 10 will remain the same for all states upon simplification. We just need to change the corresponding values of 48 and 3.5 for other states.
    
 Yield for Hawaii = 48/3.5 × 10 = 480/3.5 > 100 [∵ 480 > 3.5 × 100]

 Yield for Florida = 90/7.2 × 10 = 900/7.2 > 100 [∵ 900 > 7.2 × 100]

Yield for Arizona = 31/6.4 × 10 = 310/6.4 < 100 [∵ 310 < 6.4 × 100]
    
 Yield for Idaho = 33/8 × 10 = 330/8 < 100 [∵ 330 < 8 × 100]

 Yield for Kentucky = 160/11.1 × 10 = 1600/11.1 > 100 [∵ 1600 > 11.1 × 100]

 Yield for Maryland = 19/1.9 × 10 = 190/1.9 = 100 [∵ 190 = 1.9 × 100]
    
 ∴ There are 3 states for whom the ratio is > 100.

Hence, option (d).

Answer: Option A

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Explanation :

Total revenue = 3000 × C + 300 × M = 300(10C + M)

The revenue will be highest of that state for which (10C + M) is highest.

Of the options given, the value of (10C + M) is highest for Florida.

Hence, option (a).

Answer: Option B

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Explanation :

Coffee Production in the given states = 55.6 × 1000 tons.

These given states account for 80% of US’s coffee production.
∴ US coffee production = $\frac{55.6}{0.8}$ × 1000 tons.

40% of this production is exported.
⇒ Amount of coffee exported = $\frac{55.6}{0.8}$ × 1000 × 0.4 tons

Price of export is $2000/ton
⇒ Total export revenue = $\frac{55.6}{0.8}$ × 1000 × 0.4 × 2000 = $55.6 million

Hence, option (b).

Answer: Option E

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Explanation :

Growth for:

OnePlus = 68175 – 34500 = 33675
Samsung = 20250 – 18000 = 2250
Apple = 120000 – 49500 = 70500
Oppo = 9900 – 4500 = 5400
Vivo = 26100 – 9450 = 16650
Sony = 70200 – 20250 = 49950

Highest growth = 70500
Least growth = 2250

∴ Required answer = 2250/70500 × 100% > 3000%

Hence, option (e).

Answer: Option B

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Explanation :

Average sales for 2018-19 = $\frac{45000+26550+58500+5625+11700+45450}{6}$ = 32137.5

∴ Sales for OnePlus, Apple and Sony is higher than average sales.

Hence, option (b).

Answer: Option C

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Explanation :

Here we need not actually calculate the exact % increase in sales of each product. 

A faster way would be to just check whether the % change in more than 50% or not and less than 90% of not.

[Note: We know to increase a number by 50% we add half of the number with itself and to increase a number by 90% (100% - 10%) we double the number and then subtract 10% of it.]

For OnePlus sales increase from 38,250 to 68175

Let us consider the initial sales i.e., 38,250. If this were to increase 50% it would become 38250 + 19125 = 57375. But the final sales is greater than this, hence % increase is more than 50%.

Now, if initial sales were to increase 90% it would become 38250 × 2 – 3825 = 72675. But the final sales is less than this, hence % change is less than 90%.

For Samsung sales decreases from 23400 to 20250, hence % change is less than 50%.

For Apple sales more than doubles from 54000 to 120000, hence % change is more than 90%.

For Oppo sales increases from 5400 to 9900. % change is definitely more than 50%. For 90% increase the final sales should be 5400 × 2 – 540 = 10,260. Since the final sales is less than this, the % change is less than 90%.

For Vivo sales increases from 14535 to 26100. % change is definitely more than 50%. For 90% increase the final sales should be 14535 × 2 – 1453.5 = 27634.5. Since the final sales is less than this, the % change is less than 90%.

For Sony sales more than doubles from 31500 to 70200, hence % change is more than 90%.

∴ For 3 products i.e., OnePlus, Oppo and Vivo, the % increase from 2017-18 to 2021-22 is between 50% and 90%.

Hence, option (c).

Answer: Option B

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Explanation :

Total sales for 

Apple = 49500 + 51750 + 54000 + 58500 + 72000 + 82350 + 120000 = 488100

Vivo = 9450 + 11250 + 14535 + 11700 + 18450 + 23400 + 26100 = 114885

Sony = 20250 + 23850 + 31500 + 45450 + 59400 + 63000 + 70200 = 313650

Total sales of Vivo and Sony together = 114885 + 313650 = 428535

∴ The required ratio = $\frac{488100}{428535}$ = $\frac{428535+59565}{428535}$ = 1 + $\frac{59565}{428535}$ = 1 + 0.138 = 1.138

Hence, option (b).

Answer: 22

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Explanation :

To check if % change if more or less than 10% we will simply increase the number by 10% and see if the actual number is more than this or not.

For OnePlus:
2015-16 to 2016-17: Initial sales is 34500. If this were to increase by 10% it would become 34500 + 3450 = 37950. Since the actual sales increases to 36000 (less than 37950), hence the % increase is less than 10%.

2016-17 to 2017-18: Initial sales is 36000. If this were to increase by 10% it would become 36000 + 3600 = 39600. Since the actual sales increases to 38250 (less than 39600), hence the % increase is less than 10%.

2017-18 to 2018-19: Initial sales is 38250. If this were to increase by 10% it would become 38250 + 3825 = 42075. Since the actual sales increases to 45000 (more than 42075), hence the % increase is more than 10%. A party will be organized.

2018-19 to 2019-20: Initial sales is 45000. If this were to increase by 10% it would become 45000 + 4500 = 49500. Since the actual sales increases to 54000 (more than 49500), hence the % increase is more than 10%. A party will be organized.

2019-20 to 2020-21: Initial sales is 54000. If this were to increase by 10% it would become 54000 + 5400 = 59400. Since the actual sales increases to 59000 (equal to 59400), hence the % increase is exactly equal to 10%. A party will not be thrown for exact 10% increase.

2020-21 to 2021-22: Initial sales is 59400. If this were to increase by 10% it would become 59400 + 5940 = 65340. Since the actual sales increases to 68175 (more than 65340), hence the % increase is more than 10%. A party will be organized.

OnePlus will throw a party 3 times during the given time-period.

Similarly, 

Samsung will throw a party 3 times during the given time-period.
Apple will throw a party 3 times during the given time-period.
Oppo will throw a party 3 times during the given time-period.
Vivo will throw a party 5 times during the given time-period.
Sony will throw a party 5 times during the given time-period.

∴ Total parties organized = 3 + 3 + 3 + 3 + 5 + 5 = 22.

Hence, 22.