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Question

Comprehension 1: Study the following table and answer the questions : The table shows the data of Demand (number of applications received) and Intake (available seats) in five colleges (A, B, C, D and E) :
CollegeABCDE
Demand (application received)3000600250012003300
Intake (available seats)15001800100027002200

The difference of demand and available seats in college E is what percentage lower than the difference of demand and available seats of college A?

The correct answer is
26.67%

The question asks us to compare the difference between demand (applications received) and available seats (intake) for College E with that of College A. Specifically, we need to find out how much lower the difference is in College E compared to College A, expressed as a percentage of College A's difference.

Analyzing College Demand and Intake Data

First, let's look at the provided data for the colleges:

College Demand (application received) Intake (available seats)
A 3000 1500
B 600 1800
C 2500 1000
D 1200 2700
E 3300 2200

Calculating Differences for Colleges A and E

We need to calculate the difference between demand and intake for College A and College E.

  • College A:
    • Demand = 3000
    • Intake = 1500
    • Difference = Demand - Intake = $3000 - 1500 = 1500$
  • College E:
    • Demand = 3300
    • Intake = 2200
    • Difference = Demand - Intake = $3300 - 2200 = 1100$

Comparing the Differences

Now, we need to find out how much lower the difference in College E is compared to the difference in College A. This is the absolute difference between the two differences:

Difference between College A's difference and College E's difference = Difference in College A - Difference in College E

= $1500 - 1100 = 400$

Calculating Percentage Lower

To find the percentage by which College E's difference is lower than College A's difference, we use College A's difference as the base value.

Percentage Lower = $ \frac{\text{Difference in College A} - \text{Difference in College E}}{\text{Difference in College A}} \times 100 $

Percentage Lower = $ \frac{400}{1500} \times 100 $

Percentage Lower = $ \frac{4}{15} \times 100 $

Percentage Lower = $ \frac{400}{15} $

Percentage Lower = $ 26.666... \% $

Rounding this to two decimal places, we get 26.67%. This means the difference in demand and available seats in College E is approximately 26.67% lower than that of College A.

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Important Questions from Data Interpretation

  1. The table given below shows the earnings of two persons on five different days.

    Earnings
    Days PQ
    Monday105150
    Tuesday96110
    Wednesday65122
    Thursday115106
    Friday13068
    What is the ratio of total earnings of P to the total earnings of Q? 
  2. The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.

    ColourTotal toysPercentage of cars
    C150012
    C260015
    C340012.5
    C455010
    C565020
    C645010

    What is the total number of car toys of C2 and C3 taken together?

  3. Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.

    The ratio between the companies having more production than demand and more demand than production is:

  4. Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.

     

    During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?

  5. The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?

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