Data Interpretation Alıştırma Soruları — State PSC Exam — Sayfa 4

Soru 61Soru →

The following data grid presents the cargo volume handled (in thousands of Metric Tonnes, '000 MT) across five maritime ports from FY 2021–22 to FY 2024–25:

Port	FY 2021–22	FY 2022–23	FY 2023–24	FY 2024–25
Port Alpha	450	540	648	777.6
Port Beta	800	720	648	583.2
Port Gamma	300	375	450	562.5
Port Delta	600	660	792	871.2
Port Epsilon	500	550	605	726

Which of the following statements regarding the performance of these ports are correct? Select all that apply.

Geçerli olan tümünü seçin

Port Alpha registered a constant year-on-year cargo growth rate of 20% across all three consecutive periods.

The combined total cargo volume handled by all five ports increased by more than 30% in FY 2024–25 compared to FY 2021–22.

Port Beta accounted for more than 20% of the total cargo volume handled across all five ports in FY 2024–25.

Port Gamma achieved the largest absolute increase in cargo volume between FY 2021–22 and FY 2024–25.

Cevabı ve açıklamayı göster

Cevap: Port Alpha registered a constant year-on-year cargo growth rate of 20% across all three consecutive periods.; The combined total cargo volume handled by all five ports increased by more than 30% in FY 2024–25 compared to FY 2021–22.

Cevap

The statements confirming that Port Alpha registered a constant year-on-year growth rate of 20% and that the combined total cargo volume grew by more than 30% are correct.

The statement regarding Port Alpha is correct because the year-on-year growth rate is uniformly

20\%

for every year (

90/450 = 20\%

,

108/540 = 20\%

, and

129.6/648 = 20\%

). The statement regarding combined total growth is also correct because the total cargo grew from

2650

thousand MT to

3520.5

thousand MT, which equals a

32.85\%

increase—clearly exceeding

30\%

.

Adım Adım Çözüm

1

Calculate year-on-year percentage growth for Port Alpha.

FY 21–22 to 22–23:

(540 - 450) / 450 = 0.20

(

20\%

). FY 22–23 to 23–24:

(648 - 540) / 540 = 0.20

(

20\%

). FY 23–24 to 24–25:

(777.6 - 648) / 648 = 0.20

(

20\%

).

Verify if the annual growth rate remains constant across all three consecutive periods.

2

Calculate total cargo volume for FY 2021–22 and FY 2024–25 across all ports.

Total FY 2021–22

= 450 + 800 + 300 + 600 + 500 = 2650

thousand MT. Total FY 2024–25

= 777.6 + 583.2 + 562.5 + 871.2 + 726 = 3520.5

thousand MT.

Determine the combined aggregate performance for percentage growth evaluation.

3

Compute total overall growth percentage from FY 2021–22 to FY 2024–25.

Percentage Growth

= \frac{3520.5 - 2650}{2650} \times 100\% = \frac{870.5}{2650} \times 100\% \approx 32.85\%

.

Compare calculated growth (

32.85\%

) against the target threshold of

30\%

.

4

Calculate Port Beta's share of total cargo in FY 2024–25.

Share

= \frac{583.2}{3520.5} \times 100\% \approx 16.57\%

.

Test whether Port Beta's share exceeded

20\%

in FY 2024–25.

5

Compare absolute growth values across all ports between FY 2021–22 and FY 2024–25.

Alpha:

327.6

, Beta:

-216.8

, Gamma:

262.5

, Delta:

271.2

, Epsilon:

226.0

.

Identify the port with the maximum absolute increase.

Anahtar Kavram

Tabular Data Interpretation: Multi-Period Rate Analysis and Baseline Distinctions

Soru 62Soru →

The table below provides operational details regarding procurement, storage loss, public distribution system (PDS) allocation, and unit storage costs for rice across four agricultural zones of a state during FY 2025–26:

Zone	Rice Procured (in '000 MT)	Storage & Transit Loss (% of Procured Rice)	Distribution to PDS (% of Net Retained Rice)	Unit Storage Cost per MT of Net Retained Rice (₹)
Zone Alpha	250	4.0%	80%	₹ 450
Zone Beta	180	5.0%	75%	₹ 500
Zone Gamma	200	2.5%	85%	₹ 400
Zone Delta	300	6.0%	70%	₹ 350

*Note: Net Retained Rice = Total Rice Procured $-$ Storage & Transit Loss.*

What is the total quantity of rice (in MT) retained as undistributed buffer stock across all four zones combined after completing the PDS distribution?

204,600\text{ MT}

215,000\text{ MT}

20,460\text{ MT}

162,600\text{ MT}

Cevabı ve açıklamayı göster

Cevap: $204,600\text{ MT}$

Cevap

204,600\text{ MT}

The correct answer is derived by first subtracting the percentage storage loss from the gross procurement of each zone to establish the net retained rice base (

240,000\text{ MT}

for Alpha,

171,000\text{ MT}

for Beta,

195,000\text{ MT}

for Gamma, and

282,000\text{ MT}

for Delta). Multiplying these net figures by their respective remaining undistributed percentages (

20\%

,

25\%

,

15\%

, and

30\%

) gives buffer quantities of

48,000\text{ MT}

,

42,750\text{ MT}

,

29,250\text{ MT}

, and

84,600\text{ MT}

. The sum of these four quantities equals

204,600\text{ MT}

.

Adım Adım Çözüm

1

Convert procured quantities into metric tonnes (MT) and compute net retained rice for each zone.

Zone Alpha:

250,000 \times (1 - 0.04) = 240,000\text{ MT}

.
Zone Beta:

180,000 \times (1 - 0.05) = 171,000\text{ MT}

.
Zone Gamma:

200,000 \times (1 - 0.025) = 195,000\text{ MT}

.
Zone Delta:

300,000 \times (1 - 0.06) = 282,000\text{ MT}

.

Storage loss must be deducted from gross procurement to get net retained rice.

2

Calculate the undistributed buffer stock percentage for each zone.

Zone Alpha:

100\% - 80\% = 20\%

.
Zone Beta:

100\% - 75\% = 25\%

.
Zone Gamma:

100\% - 85\% = 15\%

.
Zone Delta:

100\% - 70\% = 30\%

.

Buffer stock represents the remaining fraction of net retained rice after PDS distribution.

3

Calculate the volume of undistributed buffer stock for each zone.

Zone Alpha:

240,000 \times 0.20 = 48,000\text{ MT}

.
Zone Beta:

171,000 \times 0.25 = 42,750\text{ MT}

.
Zone Gamma:

195,000 \times 0.15 = 29,250\text{ MT}

.
Zone Delta:

282,000 \times 0.30 = 84,600\text{ MT}

.

Multiply net retained rice by the respective buffer stock percentage.

4

Sum the buffer stock volumes across all four zones.

48,000 + 42,750 + 29,250 + 84,600 = 204,600\text{ MT}

.

To find the combined total buffer stock for the state.

Anahtar Kavram

Multi-stage sequential percentage calculations on tabular net base values.

Soru 63Soru →

The table below presents the annual handicraft exports (in ₹ Crore) across four regional development boards from 2021–22 to 2024–25:

Regional Board	2021–22	2022–23	2023–24	2024–25
Northern Region	150	180	200	240
Southern Region	240	260	300	360
Eastern Region	120	150	180	210
Western Region	160	200	250	300

Based on the table, what is the ratio of the total handicraft exports from the Northern and Eastern Regions combined in 2024–25 to the total handicraft exports from the Southern and Western Regions combined in 2021–22?

9 : 8

8 : 9

9 : 22

15 : 7

Cevabı ve açıklamayı göster

Cevap: 9 : 8

Cevap

The correct ratio of exports is 9 : 8.

The total exports from the Northern and Eastern Regions combined in 2024–25 amount to ₹240 Crore + ₹210 Crore = ₹450 Crore. The total exports from the Southern and Western Regions combined in 2021–22 amount to ₹240 Crore + ₹160 Crore = ₹400 Crore. Taking the ratio of 450 to 400 gives 450 : 400, which simplifies directly to 9 : 8.

Adım Adım Çözüm

1

Identify and sum the export values for Northern and Eastern Regions for the year 2024–25 from the table grid.

Northern Region (2024–25) = ₹240 Crore; Eastern Region (2024–25) = ₹210 Crore. Total = 240 + 210 = ₹450 Crore.

This establishes the numerator component requested in the question stem.

2

Identify and sum the export values for Southern and Western Regions for the base year 2021–22.

Southern Region (2021–22) = ₹240 Crore; Western Region (2021–22) = ₹160 Crore. Total = 240 + 160 = ₹400 Crore.

This establishes the denominator component requested in the question stem.

3

Form the ratio and simplify to its lowest integer terms.

Ratio = 450 / 400 = 9 / 8, or 9 : 8.

Simplifying by dividing both numbers by their highest common factor (50) yields the final required ratio.

Anahtar Kavram

Tabular Data Interpretation and Multi-Cell Ratio Calculation

Tahmini Süre:1m 30s

Soru 64Soru →

The table below shows the annual solar power generation (in Megawatts, MW) across four districts (P, Q, R, and S) in a state from 2021 to 2024:

District	2021 (MW)	2022 (MW)	2023 (MW)	2024 (MW)
District P	100	120	150	200
District Q	200	240	300	360
District R	150	180	200	240
District S	50	60	150	200

Based on the table above, which of the following statements are correct?

Geçerli olan tümünü seçin

District P experienced a 100% increase in solar power generation in 2024 compared to its generation in 2021.

District S contributed the highest percentage share to the total solar power generation in 2023.

The ratio of total solar power generation in 2021 to total solar power generation in 2024 across all four districts is

1 : 2

.

The average annual solar power generation for District R over the four-year period (2021–2024) is

210\text{ MW}

.

Cevabı ve açıklamayı göster

Cevap: District P experienced a 100% increase in solar power generation in 2024 compared to its generation in 2021.; The ratio of total solar power generation in 2021 to total solar power generation in 2024 across all four districts is $1 : 2$ .

Cevap

The correct statements are that District P experienced a 100% increase in solar power generation in 2024 compared to 2021, and the ratio of total solar power generation in 2021 to 2024 across all four districts is 1 : 2.

The statement regarding District P's growth is valid because generation doubled from 100 MW in 2021 to 200 MW in 2024, representing a 100% increase. The statement comparing overall totals is also valid because total generation in 2021 (500 MW) and 2024 (1000 MW) forms a simplified ratio of 1 : 2.

Adım Adım Çözüm

1

Evaluate the statement regarding District P's percentage growth from 2021 to 2024.

Percentage Increase =

\frac{200 - 100}{100} \times 100 = 100\%

. This statement is correct.

Calculate relative growth using 2021 as the base year.

2

Evaluate the statement regarding District S's share in 2023.

Total 2023 generation =

150 + 300 + 200 + 150 = 800\text{ MW}

. District Q generated

300\text{ MW}

(

37.5\%

), which is the highest. District S generated

150\text{ MW}

(

18.75\%

). This statement is incorrect.

Determine total generation for 2023 and compare individual district contributions.

3

Evaluate the statement regarding the ratio of total generation in 2021 vs 2024.

Total 2021 generation =

100 + 200 + 150 + 50 = 500\text{ MW}

. Total 2024 generation =

200 + 360 + 240 + 200 = 1000\text{ MW}

. Ratio =

500 : 1000 = 1 : 2

. This statement is correct.

Sum values across all districts for 2021 and 2024, then simplify the resulting ratio.

4

Evaluate the statement regarding District R's annual average generation.

Sum for District R =

150 + 180 + 200 + 240 = 770\text{ MW}

. Average =

\frac{770}{4} = 192.5\text{ MW}

. This statement is incorrect.

Divide total four-year generation for District R by the number of years (4).

Anahtar Kavram

Tabular Data Interpretation: Multi-Step Percentage Growth, Aggregation, Ratio Analysis, and Averages

Tahmini Süre:1m 30s

Soru 65Soru →

A metropolitan public library system launched a project to digitize a total of $12,000$ rare manuscripts. The manuscripts were distributed among three main facilities: the Central Library, the North Branch, and the South Branch in the ratio of $5:4:3$ , respectively. After one month of continuous operations, a progress report revealed that the Central Library had successfully digitized $60\%$ of its allocated manuscripts. The North Branch had completed $45\%$ of its assigned quota, while the South Branch managed to digitize $70\%$ of the manuscripts allocated to it.

Based on the information provided in the passage, which of the following statements are correct? (Select all that apply)

Geçerli olan tümünü seçin

The North Branch currently has a greater number of manuscripts left to digitize compared to the Central Library.

The three facilities combined successfully digitized a total of

6,900

manuscripts during the first month.

The South Branch accounted for exactly

70\%

of the total manuscripts digitized across all three facilities combined.

The Central Library digitized

1,200

fewer manuscripts than the North Branch during the first month.

Cevabı ve açıklamayı göster

Cevap: The North Branch currently has a greater number of manuscripts left to digitize compared to the Central Library.; The three facilities combined successfully digitized a total of $6,900$ manuscripts during the first month.

Cevap

The correct statements are that the North Branch has more manuscripts left to digitize than the Central Library, and that the three facilities combined digitized a total of 6,900 manuscripts.

Based on the data derived from the caselet, the three facilities digitized a total of

3,000 + 1,800 + 2,100 = 6,900

manuscripts. Additionally, the North Branch has

2,200

manuscripts remaining (

4,000 - 1,800

), which is strictly greater than the Central Library's

2,000

remaining manuscripts (

5,000 - 3,000

).

Adım Adım Çözüm

1

Calculate the initial allocation of manuscripts for each facility based on the

5:4:3

ratio.

Central Library:

5,000

; North Branch:

4,000

; South Branch:

3,000

.

The total ratio parts are

5 + 4 + 3 = 12

. Each part is worth

12,000 / 12 = 1,000

manuscripts. Multiplying by each facility's ratio gives their total quota.

2

Calculate the number of manuscripts digitized by each facility in the first month.

Central:

3,000

; North:

1,800

; South:

2,100

.

Multiply each facility's allocated quota by their respective completion percentage (e.g.,

60\%

of

5,000 = 3,000

).

3

Calculate the number of manuscripts remaining to be digitized for each facility.

Central:

2,000

; North:

2,200

; South:

900

.

Subtract the number of digitized manuscripts from the initial quota for each facility.

4

Evaluate the accuracy of the given statements using the extracted data.

The total digitized is

3,000 + 1,800 + 2,100 = 6,900

. North remaining (

2,200

) is greater than Central remaining (

2,000

).

Comparing the processed numbers against the claims confirms which statements are factually correct based on the passage.

Anahtar Kavram

Extracting proportional allocations and applying distinct percentage rates to multi-entity caselet data.

Tahmini Süre:2m 0s

Soru 66Soru →

A recent agricultural survey evaluated the annual yield of three crops—Wheat, Rice, and Maize—across two neighboring regions, Region Alpha and Region Beta. The combined yield of all three crops in both regions was $8,000$ metric tons. Region Alpha accounted for $55\%$ of the total combined yield. In Region Alpha, the yield of Maize was $800$ metric tons, and the remaining yield was distributed between Wheat and Rice in the ratio of $5:4$ , respectively. In Region Beta, the yield of Rice was exactly half of the Wheat yield in Region Alpha. Additionally, the Maize yield in Region Beta was $20\%$ higher than the Maize yield in Region Alpha.

Based on the survey data, what is the ratio of the Wheat yield in Region Beta to the total Maize yield from both regions combined?

41:24

44:41

41:44

47:38

Cevabı ve açıklamayı göster

Cevap: $41:44$

Cevap

The ratio of the Wheat yield in Region Beta to the total Maize yield from both regions is

41:44

.

The correct ratio is determined by first finding the Wheat yield in Region Beta (

1,640

metric tons) and the total Maize yield from both regions combined (

1,760

metric tons). Simplifying the ratio

1,640 : 1,760

by dividing both values by

40

yields the final result of

41:44

.

Adım Adım Çözüm

1

Determine the total crop yield for each region.

Region Alpha total =

4,400

tons; Region Beta total =

3,600

tons.

Region Alpha is

55\%

of the

8,000

total (

0.55 \times 8000 = 4400

). Region Beta is the remainder (

8000 - 4400 = 3600

).

2

Calculate the individual crop yields for Region Alpha.

Maize =

800

tons, Wheat =

2,000

tons, Rice =

1,600

tons.

Maize is given as

800

. The remainder for Wheat and Rice is

4,400 - 800 = 3,600

. Using the

5:4

ratio, Wheat is

\frac{5}{9} \times 3600 = 2000

, and Rice is

\frac{4}{9} \times 3600 = 1600

.

3

Calculate the individual crop yields for Region Beta.

Rice =

1,000

tons, Maize =

960

tons, Wheat =

1,640

tons.

Rice is half of Region Alpha's Wheat (

0.5 \times 2000 = 1000

). Maize is

20\%

higher than Region Alpha's Maize (

800 + 0.20 \times 800 = 960

). Wheat is the remainder of Region Beta's total (

3600 - 1000 - 960 = 1640

).

4

Calculate the required ratio.

The final ratio is

41:44

.

Total Maize from both regions is

800 + 960 = 1,760

. The ratio of Region Beta's Wheat to Total Maize is

1640 : 1760

, which simplifies to

164 : 176

, and further to

41 : 44

by dividing both numbers by

4

.

Anahtar Kavram

Extracting interrelated data points from a narrative caselet to compute multi-step ratios and percentages.

Soru 67Soru →

A multinational corporation allocated a total annual training budget of 140,000 dollars across its three major divisions: Sales, Information Technology (IT), and Human Resources (HR). According to the financial distribution guidelines, the IT division received exactly 20% more funding than the Sales division. Meanwhile, the HR division was allocated exactly half of the amount given to the IT division. If the HR division dedicates 40% of its allocated training budget specifically to onboarding programs, what is the exact amount (in dollars) spent by the HR division on onboarding?

Cevabı ve açıklamayı göster

Cevap: 12000

Cevap

12000

By converting the text into an algebraic equation, we establish the Sales budget as

x

, IT as

1.2x

, and HR as

0.6x

. The sum

2.8x

equals 140,000 dollars, making

x = 50,000

. The HR division receives

0.6x

, which is 30,000 dollars. Finally, taking 40% of the HR division's 30,000 dollar budget yields 12,000 dollars for onboarding programs.

Adım Adım Çözüm

1

Define algebraic variables for each division's allocation.

Sales =

x

, IT =

1.2x

, HR =

0.6x

To translate the relative proportional statements from the paragraph into a solvable mathematical model.

2

Set up an equation representing the total corporate training budget.

x + 1.2x + 0.6x = 140,000

The sum of the three divisional budgets must equal the total allocated amount.

3

Solve the equation for

x

to find the Sales division's baseline budget.

2.8x = 140,000 \Rightarrow x = 50,000

To isolate the base variable from which the other departmental budgets are derived.

4

Calculate the total training budget allocated specifically to the HR division.

HR =

0.6 \times 50,000 = 30,000

The question asks about a subset of the HR budget, so the total HR budget must be known first.

5

Calculate 40% of the HR division's budget.

0.40 \times 30,000 = 12,000

The paragraph specifies that exactly 40% of the HR training budget goes to onboarding programs.

Anahtar Kavram

Extracting quantitative relationships from text to form algebraic equations and calculating sequential percentages.

Soru 68Soru →

A municipal health department organized a vaccination drive across three different wards: Ward X, Ward Y, and Ward Z. The total population across the three wards is $12,000$ , and this population is distributed among Ward X, Ward Y, and Ward Z in the ratio of $5:4:3$ , respectively.

In Ward X, $60\%$ of the population received Dose 1, and out of those who received Dose 1, $40\%$ also received Dose 2. The number of people who received Dose 1 in Ward Y is equal to the number of people who received Dose 1 in Ward X. In Ward Y, the number of people who received Dose 2 is half the number of people who received Dose 1 in the same ward. In Ward Z, the number of people who received Dose 1 is $40\%$ less than the number of people who received Dose 1 in Ward X. Furthermore, $50\%$ of the individuals who received Dose 1 in Ward Z went on to receive Dose 2.

Based on this information, what is the ratio of the total number of people who received Dose 2 in Ward X and Ward Z combined to the number of people in Ward Y who did NOT receive Dose 1?

7:5

27:10

21:10

29:10

Cevabı ve açıklamayı göster

Cevap: $21:10$

Cevap

The correct ratio is

21:10

.

Based on the given ratios and percentages, Ward X has

1,200

people with Dose 2, and Ward Z has

900

people with Dose 2, combining for

2,100

. Ward Y has a total population of

4,000

, and

3,000

received Dose 1, leaving exactly

1,000

people who did not receive Dose 1. The ratio is

2,100 : 1,000

, which simplifies to

21:10

.

Adım Adım Çözüm

1

Calculate the total population for each ward based on the

5:4:3

ratio.

Total ratio parts =

5 + 4 + 3 = 12

. Multiplier =

12,000 \div 12 = 1,000

. Ward X population =

5 \times 1,000 = 5,000

. Ward Y population =

4 \times 1,000 = 4,000

. Ward Z population =

3 \times 1,000 = 3,000

.

Establishing the base population for each ward is necessary to apply the subsequent percentages.

2

Calculate Dose 1 and Dose 2 recipients for Ward X.

Dose 1 in X =

60\%

of

5,000 = 3,000

. Dose 2 in X =

40\%

of

3,000 = 1,200

.

The problem states

40\%

of those who received Dose 1 went on to get Dose 2, meaning the base for Dose 2 is the Dose 1 count, not the total population.

3

Calculate the relevant statistics for Ward Y.

Dose 1 in Y = Dose 1 in X =

3,000

. People in Y who did NOT receive Dose 1 = Total Y population - Dose 1 in Y =

4,000 - 3,000 = 1,000

.

The question asks for the number of people in Ward Y who did not receive Dose 1 to be used as the denominator in the final ratio.

4

Calculate Dose 1 and Dose 2 recipients for Ward Z.

Dose 1 in Z is

40\%

less than Dose 1 in X (

3,000

), which is

3,000 - (0.40 \times 3,000) = 1,800

. Dose 2 in Z =

50\%

of

1,800 = 900

.

This establishes the final required values needed for the numerator of the ratio.

5

Formulate and simplify the required ratio.

Ratio = (Dose 2 in X + Dose 2 in Z) : (No Dose 1 in Y) = (

1,200 + 900

) :

1,000 = 2,100 : 1,000 = 21:10

.

Combines the extracted data to answer the specific question asked in the stem.

Anahtar Kavram

Extracting and chaining percentage-based data across multiple entities to form relationships.

Soru 69Soru →

A consumer electronics brand released its regional sales data for the last quarter. The bar chart data displays the total volume of units sold across four geographical regions, with values expressed in thousands. The accompanying table breaks down these regional totals into three specific product categories: Air Conditioners (AC), Refrigerators, and Washing Machines, represented as percentages of each region's total sales.

Total Sales by Region (in thousands):
- North: $15$
- South: $25$
- East: $12$
- West: $18$

Region	Air Conditioners	Refrigerators	Washing Machines
North	$40\%$	$35\%$	$25\%$
South	$30\%$	$50\%$	$20\%$
East	$25\%$	$45\%$	$30\%$
West	$35\%$	$40\%$	$25\%$

Based on the provided data, what is the total number of Refrigerators sold in the South and East regions combined?

18,500

17,900

17.9

10,500

Cevabı ve açıklamayı göster

Cevap: $17,900$

Cevap

The total number of Refrigerators sold in the South and East regions combined is

17,900

.

The correct answer accurately incorporates the 'in thousands' scale multiplier to find the true base sales for the South (

25,000

) and East (

12,000

) regions. It then calculates the respective Refrigerator sales independently (

50\%

of

25,000 = 12,500

and

45\%

of

12,000 = 5,400

) before adding them to reach

17,900

.

Adım Adım Çözüm

1

Calculate the absolute total sales for the South and East regions.

South:

25 \times 1,000 = 25,000

. East:

12 \times 1,000 = 12,000

.

The stem indicates that the regional totals are expressed in thousands, so the given figures must be multiplied by

1,000

to find the true base values.

2

Calculate the number of Refrigerators sold in the South region.

50\%

of

25,000 = 0.50 \times 25,000 = 12,500

.

The table specifies that Refrigerators make up

50\%

of the total sales in the South region.

3

Calculate the number of Refrigerators sold in the East region.

45\%

of

12,000 = 0.45 \times 12,000 = 5,400

.

The table specifies that Refrigerators make up

45\%

of the total sales in the East region.

4

Add the two values together.

12,500 + 5,400 = 17,900

.

The question asks for the combined total of Refrigerators sold in both the South and East regions.

Anahtar Kavram

Extracting and combining data accurately across mixed formats (absolute values with multipliers and percentage distributions).

Data Interpretation

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