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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

What is the ratio of the number of colleges having more demand than available seats to those having more available seats than demand?

The correct answer is
3:2

Analyzing College Admission Data

The question asks us to compare the number of colleges where the demand for seats is higher than the available intake versus the number of colleges where the available seats are higher than the demand.

Comparing Demand and Intake for Each College

First, let's examine the data provided for each college to see if the demand (number of applications received) is greater than the intake (available seats), or vice versa.

College Demand (Applications Received) Intake (Available Seats) Comparison (Demand vs Intake)
A 3000 1500 Demand > Intake
B 600 1800 Intake > Demand
C 2500 1000 Demand > Intake
D 1200 2700 Intake > Demand
E 3300 2200 Demand > Intake

Counting Colleges in Each Category

Now, we count how many colleges fall into each comparison category:

  • Colleges with Demand > Intake: Colleges A, C, and E. That's a total of 3 colleges.
  • Colleges with Intake > Demand: Colleges B and D. That's a total of 2 colleges.

Calculating the Required Ratio

The question asks for the ratio of the number of colleges having more demand than available seats to those having more available seats than demand.

The ratio can be expressed as:

$$ \text{Ratio} = \frac{\text{Number of colleges with Demand > Intake}}{\text{Number of colleges with Intake > Demand}} $$

Substituting the counts we found:

$$ \text{Ratio} = \frac{3}{2} $$

Therefore, the ratio is 3:2.

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Important Questions from Data Interpretation

  1. The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?

    ExpenseAmount
    Food5,000
    Rent20,000
    Travel10,000
    Clothing3,000
    Miscellaneous15,000
    Savings7,500

  2. What does the height of the rectangle in a histogram show?

  3. Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.

    Category

    2010

    2011

    Raw material

    5200

    6240

    Power & fuel

    7000

    9450

    Salary & wages

    9000

    12600

    Plant & machinery

    20000

    25000

    Advertising

    15000

    19500

    Research & Development

    22000

    26400

    In 2011, which of the following two categories have registered increase by same percentage?

  4. Read the following table giving sales data of five types of batteries for years 2006 to 2012

    Year

    Type I

    Type II

    Type III

    Type IV

    Type V

    2006

    75

    144

    114

    102

    108

    2007

    90

    126

    102

    84

    126

    2008

    96

    114

    75

    105

    135

    2009

    105

    90

    150

    90

    75

    2010

    90

    75

    135

    75

    90

    2011

    105

    60

    165

    45

    120

    2012

    115

    85

    160

    100

    145


    Out of the following which type of battery achieved highest growth between the years 2006 and 2012?
  5. Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?

    A

    D

    B

    G

    E

    C

    F

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