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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

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  2. In which state, the number of patients who recovered from covid-19 steadily decreasing?

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  4. Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.

  5. In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?

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