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Question

The following Table-1 and Table-2 show the break-up of 4170 vacant posts in six Banks A-F, and the percentage (%) breakup of the requirement of personnel in six different cadres in a Bank, namely. IT officers (ITO), Agricultural Field Officers (AFO), Law Officers (LO), Finance Executives (FE), Technical Officers (TO) and Probationary Officers (PO), respectively.. Assume that these percentages are the same for all the six Banks. Based on the data in the tables, answer the questions.

Tables 1: Bank-wise Vacant Posts

Bank

Number of Vacant Posts

A

800

B

940

C

600

D

820

E

450

F

560

Table 2: Cadre-wise Percentage Breakup of Posts

Cadre in a Bank

Breakup (%)

ITO

11%

AFO

35%

LO

10%

FE

26%

TO

8%

PO

10

By what percent is the number of recruitments of LOs more/less in C, E and F taken together than in A, B and D taken together?

The correct answer is

less by 37.11%

Analyzing Bank Vacant Posts and Cadre Breakup

The question asks us to compare the number of Law Officers (LOs) recruited in a specific group of banks (C, E, and F) with another group (A, B, and D) based on the provided data tables.

We are given two tables:

Bank Number of Vacant Posts
A 800
B 940
C 600
D 820
E 450
F 560

Cadre in a Bank Breakup (%)
ITO 11%
AFO 35%
LO 10%
FE 26%
TO 8%
PO 10%

We are told that the cadre percentage breakup is the same for all six banks. We need to focus on the Law Officers (LO) cadre.

Calculating Law Officer (LO) Posts

From Table 2, the percentage of vacant posts for Law Officers (LO) is 10%.

We can calculate the number of LO posts in each bank by taking 10% of the total vacant posts for that bank from Table 1.

  • LOs in Bank A = 10% of 800 = $\frac{10}{100} \times 800 = 80$
  • LOs in Bank B = 10% of 940 = $\frac{10}{100} \times 940 = 94$
  • LOs in Bank C = 10% of 600 = $\frac{10}{100} \times 600 = 60$
  • LOs in Bank D = 10% of 820 = $\frac{10}{100} \times 820 = 82$
  • LOs in Bank E = 10% of 450 = $\frac{10}{100} \times 450 = 45$
  • LOs in Bank F = 10% of 560 = $\frac{10}{100} \times 560 = 56$

Comparing LO Recruitments by Bank Groups

Now we need to find the total number of LO recruitments for the two specified groups of banks.

Group 1: Banks C, E, and F taken together

Total LOs in C, E, and F = LOs in C + LOs in E + LOs in F

Total LOs (C, E, F) = $60 + 45 + 56 = 161$

Group 2: Banks A, B, and D taken together

Total LOs in A, B, and D = LOs in A + LOs in B + LOs in D

Total LOs (A, B, D) = $80 + 94 + 82 = 256$

Calculating the Percentage Difference

We need to find by what percent the number of recruitments of LOs in C, E, and F (Group 1) is more/less than in A, B, and D (Group 2).

Comparing the totals:

  • Total LOs (C, E, F) = 161
  • Total LOs (A, B, D) = 256

Since 161 is less than 256, the number of LO recruitments in C, E, and F is less than in A, B, and D.

The difference in the number of LOs is: $256 - 161 = 95$

To find the percentage difference "than in A, B and D taken together", we use the total for A, B, and D (256) as the base for the percentage calculation.

Percentage Difference = $\frac{\text{Difference}}{\text{Total LOs (A, B, D)}} \times 100$

Percentage Difference = $\frac{95}{256} \times 100$

Percentage Difference $\approx 0.37109375 \times 100 \approx 37.11\%$

Since the number of LOs in C, E, and F is less than in A, B, and D, the number of recruitments is less by approximately 37.11%.

Conclusion

The number of recruitments of LOs in C, E, and F taken together is less than in A, B, and D taken together by approximately 37.11%.

Revision Table: Key Calculations

Item Value
LO Percentage 10%
Total LOs (C, E, F) 161
Total LOs (A, B, D) 256
Difference 95
Percentage Difference (Base A, B, D) $\frac{95}{256} \times 100 \approx 37.11\%$

Additional Information on Data Interpretation

Data interpretation questions often involve analyzing data presented in tables, charts, or graphs to answer specific questions. Key skills required include:

  • Understanding the Data: Carefully read the titles, labels, and notes for all tables or figures provided. Understand what each number or category represents.
  • Identifying Relevant Information: Not all data provided may be needed for every question. Focus only on the data points required to solve the problem. In this question, we focused on the total vacant posts per bank and the percentage for the Law Officer cadre.
  • Performing Calculations: Based on the question, perform necessary calculations such as percentages, averages, ratios, sums, or differences. Ensure calculations are accurate.
  • Comparing Values: Many questions require comparing values or groups of values to find differences, percentages more/less, ratios, etc.
  • Careful Reading of the Question: Pay close attention to what is being asked. For percentage differences, note which value is the base for the calculation (e.g., "% more/less than X" means X is the base).

Practicing with different types of data representation (tables, bar graphs, pie charts, line graphs) and different types of questions (percentage change, ratio, average, specific value calculation) helps build proficiency in data interpretation for exams.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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