18th June 2022 I Data Analysis – Analytical Interpretation of statistical Data, Study of Graphs and Charts – Bar graphs, Line graphs and Pie- charts and drawing conclusions

Syllabus- Data Analysis – Analytical Interpretation of statistical Data, Study of Graphs and Charts – Bar graphs, Line graphs and Pie- charts and drawing conclusions

Number of questions- Mains: 15

Mains Questions of the day- 

Study the following table carefully and answer the given questions:

MobileCost PriceSelling Price% of ProfitProfit
Samsung35,000—-—-3,500
Apple53,000—-14%—-
Micromax—-22,000—-—-
LG28,000—-—-—-
HTC—-33,00010%—-
Sony32,000—-—-4,000



1.What is the selling price and % of Profit of Sony Mobile?

  1. 36,000 and 12.5%
  2. 36,00 and 15%
  3. 36,000 and 18%
  4. 36,000 and 20%

Answer: A

Explanation:

Selling price = 32,000+4000=36,000

% of Profit = 4000/36000 = 12.5%

2.What is the % of Profit Micromax, If Cost Price of Micromax is 3/5 of Cost Price of HTC mobile ?

  1. 33 1/3%
  2. 26 4/9%
  3. 22 2/9%
  4. 24 5/9%

Answer: C

Explanation:

HTC mobile Selling Price = 33,000

HTC Mobile % Of Profit = 10%

means        33,000 ——- 110%

                     ?     ——-   100% (CP)

Cost Price of HTC = 30,000

Micromax cost price = 3/5 *30,000 = 18,000

 Selling price = 22,000

profit = 4,000

% of profit = (4000/18,000) *100 = 22 2/9%

3.If profit is 500 more than the profit of Samsung mobile then, What is the selling price and % of profit of LG mobile?

  1. 32,000 and 14 1/7%
  2. 34,000 and 14 4/7%
  3. 32,000 and 15 2/7%
  4. 32,000 and 14 2/7%

Answer: D

Explanation:

Profit on Samsung mobile =3,500

from that profit on LG mobile = 3500+500=4000

Selling Price of LG mobile = 32,000

% of profit on LG = (4000/28,000)*100 = 14 2/7%
4.What is the profit earned on Apple mobile?

  1. 7360
  2. 7450
  3. 7420
  4. 7560

Answer: C

Explanation:

Cost Price = 53,000

% of profit = 14%  

53,000 ———— 100%

 ?        ———–   114%

Selling price = 60,420

profit = 60,420-53,000=7420

5.What is the ratio between Cost Price and Selling price of Samsung?

  1. 14:15
  2. 10:13
  3. 10:14
  4. 10:11

Answer: D

Explanation:

Cost Price = 35,000

Selling Price = 35,000+3500=38500

Ratio = 35000: 38500 = 10:11

DIRECTIONS for questions: Study the following graph and answer the questions that follow.

Data Interpretation Practice Questions

6.In which year was the value per tin the minimum?

  1. 1987
  2. 1984
  3. 1985
  4. 1983

Answer : D
Explanation: 

In 1983, value per tin is 150/100, which is the lowest for all the years.

7.If in 1986 tins were exported at the same rate per tin as in 1985, then what would be the value of exports in 1986? (Crores of Rupees)

  1. 400
  2. 420
  3. 375
  4. 352

Answer: D
Explanation:

 Value in 1985: 330/150 = 2.2.
Value in 1986: 160 x 2.2 = 352.
Hence option E

DIRECTIONS for questions: The percentage distribution of households by household size and the average sizes of household in.

  • All India Rural and Urban areas.
  • Urban areas classified as per population size are presented below.
Data Interpretation Practice Questions
All IndiaDistribution of PeopleAverage Size of Household
Rural5.08
Urban4.60
Distribution of UrbanBelow 15, 0004.75
15, 000 – 50, 0004.50
50001 – Above4.70

8.In rural areas, which one of the following sizes of the households is the highest in number?

  1. 15
  2. 2
  3. 3
  4. 4

Answer: D
Explanation: 

From the graph, we see that the line for rural peaks at about 4-5.
Hence the best answer is (4).

9.In urban areas, among the households of different sizes, what is the percentage of households of size 5 or less?

  1. 13
  2. 72
  3. 36
  4. 87

Answer: B
Explanation: 

Total up the number of households ≤ 5 are 17 + 14 + 12 + 15 + 14 = 72.

10.As the urban population of towns increase, what is the average household size?

  1. Increases
  2. Decreases
  3. remains constant
  4. Fluctuating

Answer: D
Explanation: 

As population size increases, we see that household size is 4.75, 4.50, 4.70.
Hence the values are fluctuating.

Directions: Study the following the pie-chart and table carefully to answer the questions given below:

The following pie-chart shows the distribution of the monthly family budget of a person.

https://2.bp.blogspot.com/-ku3j704De3Y/WJrLF1enxEI/AAAAAAAAE3M/LRq5iCJwbeYojqDIVxEC_vqebPijcwkCQCLcB/s1600/1.PNG

The following table shows the further distribution (in percent) of the above-mentioned items among the five family members i.e P (the person himself), W (his wife), Rahul (son), Rohit (son), and Preeti (his daughter). His monthly family budget is Rs. 1,20,000

EducationFoodEntertainmentTravellingOther expenses
P1030104020
W1525301025
Rahul4020202520
Rohit2515251010
Preeti1010151525



11. What is the average expenses of P?

  1. Rs. 5620
  2. Other than the given options
  3. Rs. 5640
  4. Rs. 5460

Answer: D

Explanation:

Average expenses of P 

= (10% of (96/360) + 30% of (129/360) +10% of (36/360) +40% of (51/360) +20% of (48/360)) * (1,20,000/5)

= ((960+3870+360+2040+960)/3600) *(1,20,000/5)

=Rs.5460

12. What is the approximate percentage increase in the amount Which Rahul enjoys for entertainment as compared to Preeti for the same?

  1. 33%
  2. 31%
  3. 3. 35%
  4. 37%

Answer: A

Explanation:

Amount spent by Rahul on Entertainment

(20/100) *(36/360) * 1,20,000

=Rs.2400

Amount spent by Preeti on Entertainment

= (15/100) *(36/360) *1,20,00

=Rs.1800

∴ Required percentage increase

= ((2400-1800)/1800) * 100

=33%

13. The average expenses of Rohit is approximately what percent of the average expenses of W (Wife)?

  1. 76.4%
  2. 81.5%
  3. 3. 79.5%
  4. 4. 83.5%

Answer: D

Explanation:

Average expenses of Rohit

= (25% of (96/360) + 15% of (129/360)+ 25% of (36/360)+10% of (51/360)+10% of (48/360))*(1,20,000/5)

= ((2400+1935=900+510+480)/36000 * (1,20,000/5))

=Rs.4150

Average expenses of W (wife)

= (15% of (96/360) +25% of (129/360) + 25% of (129/360) + 30% of (36/360) +10% of (51/360)+ 25% of (48/360) * (1,20,000/5)

= ((1440+3225+1080+510+1200)/36000) *(1,20,000/5)

=Rs.4970

∴ Required percentage 

= (4150/4970) *100

= 83.5%

14. Find the difference (in percentage of the budget) between the average expenses of Education and the average expenses on Entertainment of the couple?

  1. 1.3%
  2. 0.9%
  3. 3. 2%
  4. Other than the given options

Answer: A

Explanation:

Required difference

= (((10+15) of (96/360))-((30+10)% of(36/360))* (1,20,000/2)

= ((2400-1440)/36000) *(1,20,000/5)

=Rs.1600

∴ Required percentage = (1600/1,20,000) *100=1.3%

15. The total amount spent by Rahul on Travelling and Food is approximately what percent of the total amount spent by Preeti on Education and Food?

  1. 159%
  2. 168%
  3. 171%
  4. 175%

Answer: C

Explanation:

Required percentage

= ((20% of (129/360) +25% of (51/360)) / (10 % of (96/360) +10% of (129/360))) *100

= (((20*129) + (25*51))/ (960+1290)) *100 

= ((2580+1275)/ (960+1290)) *100

= (3855/2250) *100=171%

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