24-07-2021 Answers

 The number of laptops sold in four consecutive months is as shown in the chart. Please answer the following questions based on the chart.

1. What was the percentage increase in laptops sold in Cochin in March when compared to January?

Answer: 0%

Solution: Increase is zero % as both in Jan and March only 2000 units were sold in Cochin.

2. How many units were sold more in Chennai in the given four months when compared to Bangalore?

Answer: 5000

Solution: Num. sold in Chennai = 22000, Bangalore = 17000. Hence 22000-17000 = 5000 units.

3. Which location(s) did well in the sales of laptops in March when compared to February?

Answer: Chennai and Cochin

Solution:  % change in chennai = -2000*100/ 6000 = -33.33%

Bangalore = -2000*100/ 5000 = -40%

Cochin = -1000*100/3000 = -33.33%

Hence Chennai and Cochin did well.

4. How many units were sold across locations in the months of January and April?

Answer: 27000 

Solution: Jan. 11000 sold and April 16000. Hence total = 27000 units.

Answer the following questions with reference to the chart below.

5. If the oil reserves in USA is 394 bbl (billion barrels), what is the world reserve approximately?

Answer: 2000 bbl

Solution: USA reserves = 19.7% of world reserve = 394 bbl. 

Hence world reserve = 394*100/19.7 = 2000 bbl

6. Assume Libya consumes 20 bbl per year and India produces 5 bbl new reserves every year. For how many years India reserves will last if the total world reserve is 2000 bbl?

Answer: 7.62 years

Solution: Libya's consumption = 5% of world = 20 bbl. 

India's consumption = 2.3% of world = 2.3*20/5 = 9.2 bbl

New reserves produced by India = 5 bbl. Hence net decrease per year = 9.2 - 5 = 4.2 bbl.

India's reserves = 1.6% of 2000 bbl = 32bbl. 

Hence number of years it will last (assuming the consumption and production remains unchanged)= 32/4.2 = 7.62 years approx.

 

7. If the difference between UAE and Libya's consumption is  22.5 bbl, what is the approximate total consumption by countries other than India, USA, UAE and Libya?

Answer: 180 bbl

Solution: Let the total world consumption be x.

0.125x - .05x = 22.5 bbl. Hence x = 22.5/0.075 bbl.

Consumption by other countries = 0.602x = 0.602 * 22.5 /0.075 = 180.6 bbl = 180 bbl approx.

8. If UAE exports twice the amount of it's oil consumption (which is on an average 3 bbl per month) and the average cost of a barrel is 90 USD, what is the total revenue per year via oil exports for UAE?

Answer: 6480 billion USD

Solution: Export = 2* (3bbl * 12 months) = 72 bbl per year.

Revenue = 72 bbl * 90 USD = 6480 billion USD.

9. Which country will deplete it's reserves assuming no import of oil and no new reserves being found?

Answer: India

Solution: The country having highest ratio of consumption to reserves will deplete first. Assume the total world reserve is r and total world consumption is c.

The consumption to reserves for India = 2.3c/1.6r, USA = 20.1c/19.7r, UAE = 12.5c/32.8r , Libya = 5c/6.6r

Hence India will deplete the oil resources first.

10. The below chart contains the maximum and minimum temperature in a given week. Please answer the following questions based on the chart.

On which two days, the difference between the max and minimum temperature is the highest?

Answer: Sunday, Thursday

Solution: The difference is 11

11. On which two days, the difference between the max and minimum temperature is the lowest?

Answer: Tuesday, Saturday

Solution: The difference is 5

12. What is the average maximum temperature during the week?

Answer: 32.28 

Solution: It is 226/7

13. What is the average minimum temperature during the week?

Answer: 24.42 

Solution: It is 24.42

14. Answer the questions based on the charts and the data provided below.

There are 7 colleges named A,B,C,D,E,F,G

- The total number of students enrolled in all colleges is 6200

- The total number of students who passed in all colleges is 4650

https://cdn.skillrack.com/exhibit/questionv2/1373624153366/data1.png

Which college has the highest pass percentage?

Answer: College E

Solution: Let x be the ratio of  difference between pass% and enroll % to the enroll %.

A: it is (8-8)/8 =0

B: (14-12)/12 = 1/6

C: (8-15)/15 = -7/15

D: (22-22)/22 = 0

E: (16-13) = 3/13

F: (20-20)/20 =0

G: (12-10)/10 = 1/5

As the ratio is highest for E (which is 3/13), college E has the highest pass %.

15. Which college has the lowest pass percentage?

Answer: College C

Solution: As the ratio is lowest for C (which is -7/15 in negative), college C has the lowest pass %.

16. How many candidates did not pass in college A?

Answer: 124

Solution: In both the charts the % for college A is 8%. Hence the ration is 1:1.

The difference between enrolled and passed will give the failed (DID NOT pass) count.

Hence required count = 8/100 * (6200 - 4650) = 124.

17. Which college has a pass percentage of 90%?

Answer: College G

Solution: The overall pass % ratio = 4650/6200 = 3/4 = 75%.

Let x be the ratio of  difference between pass% and enroll % to the enroll %.

Then 75 (1+x) = 90, Solving x=1/5

As 90% is higher than the standard 75%, the college specific pass% must be higher than enroll %. Hence we can discard college A, C, D, F

For college B, the ratio = (14-12)/12 = 1/6

For college E, the ratio = (16-13)/13 = 3/13

For college G, the ratio = (12-10)/10 = 2/10 = 1/5

Hence college G is the answer.

18. Which college has the third highest pass percentage?

Answer: College B

Solution: Based on initial ratio calculation the third highest is for college B with a value of 1/6 (College E with 3/13 and college G with 1/5 are higher).

19. Answer the following questions based on the chart below.

If the expense of company B in the year is 100 crores, what was the net income of company B in 2006?

Answer: 140 crores

Solution: Net income = profit + expense = 40 + 100 = 140 crores.

20. If the profit of company C in 2008 is 15% of the net income in the year 2008, what was the net expense of company C in 2008?

Answer: 170 crores

Solution: Profit of company C in 2008 = 30 crores = 15% of net income.

Hence net income = 30/0.15 = 200 crores. Net expense = 200 crores - profit = 200 - 30 = 170 crores.

21. If the net expense of company A and B in the year 2009 were 150 crores and 60 crores, which company had the highest profit percentage?

Answer: Both Company A and B have equal profit percentage

Solution:  Net income for company A = 50 + 150 = 200 crores.

Net income for company B = 20 + 60 = 80 crores.

Profit % for company A = 50*100/200 = 25%

Profit % for company B = 20*100/80 = 25%. Hence both have equal profit percentage.

22. If the net expense of company A,B,C taken together in 2005 is 285 crores, what is the combined income for company A,B,C in the year 2005?

Answer: 370 crores

Solution: Combined income = combined expense + combined profit = 285 + 45 + 25 + 15 = 370 crores.

23. Which company has earned the highest combined profit from 2005 to 2008?

Answer: Company C

Solution: Combined profit for company A from 2005 to 2008 = 15+40+25+45 = 125 crores,  

for company B = 25+30+35+40 = 130 crores, for company C = 45+25+35+30 = 135 crores.

Hence answer is company C.

24. The charts show the earnings, profit and expense of company ABC. Based on the charts answer the following questions.

What was the earnings in the month of March, if the profit in March was 15 crores less than the profit in February?

Answer: 190 crores

Solution: Profit in Feb = 85 crores. Hence profit in March = 85-15 = 70 crores.

expense in March = 120 crores.

Hence earnings = 120+70 = 190 crores.

25. What was the percentage increase or decrease in the expense in the month of February (when compared to January)?

Answer: 38.24% Decrease

Solution: Expense in Jan = 220 - 50 = 170 crores

Expense in Feb = 190 - 85 = 105 crores.

Decrease = 100 * 65/170 = 38.24% approx.

26. What was the net expense in the month of May and June?

Answer: Ans: 520 crores

Solution: Expense in May = 190 crores.

Expense in June = 350 - 20 = 330 crores.

Net expense = 190+330 = 520 crores

27. What was the total earnings of the company ABC from January to June if the net profit in the months of March and April is 100 crores?

Answer: 1410 crores.

Solution: Earnings in Jan + Feb = 220 + 190 = 410 crores

Earnings in May + June = 320+350 = 670 crores.

Expense in Mar+April = 120+110 = 230 crores. It is assumed net profit in Mar and Apr is 100 crores. Hence earnings in Mar and Apr = 230+100 = 330 crores.

Hence overall earnings = 410+670+330 = 1410 crores.