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Question

Study carefully the table given below and answer the question asked here under.
The following table gives the percentage of students belonging to low income group in each of the five colleges A, B, C, D and E, along with the proportion of males and females with and without low income.
College NamePercentage of students
with low income
Proportion of males
and females
With low incomeWithout low income
M:FM:F
A355:66:7
B253:54:5
C241:22:3
D193:24:3
E155:33:2

Which college has the least number of students without low income, if we assume that every college has same number of total students?

The correct answer is
B

College Analysis: Least Students Without Low Income

The objective is to find the college with the least number of students without low income. The problem states we should assume each college has the same total number of students (let's denote this total as T).

Under this assumption, the college with the least number of students without low income will be the one that has the lowest percentage of students classified as being without low income.

The provided table gives the 'Percentage of students with low income' for each college. To find the percentage of students without low income, we use the following calculation for each college:

Percentage without low income = $100\% - (\text{Percentage with low income})$

Applying this calculation:

  • College A: $100\% - 35\% = 65\%$
  • College B: $100\% - 25\% = 75\%$
  • College C: $100\% - 24\% = 76\%$
  • College D: $100\% - 19\% = 81\%$
  • College E: $100\% - 15\% = 85\%$

Comparing these calculated percentages reveals the proportion of students without low income in each college relative to its total student population.

The college identified as having the least number of students without low income is B.

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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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