The number of Colleges offering the Python course is more than 460 in

Question

Prepp Team · Accepted Answer

Analyzing College Data for Python Course Offerings

The question asks us to find out in how many of the given four states (A, B, C, D) the number of colleges offering the Python course is more than 460. To answer this, we need to first determine the total number of colleges in each state and then calculate the number of colleges offering the Python course in each state based on the provided percentages.

Step 1: Calculate the Total Number of Colleges in Each State

The total number of colleges across the four states is given as 4000. The table provides the percentage distribution of these colleges among the states A, B, C, and D.

State A: $35\%$ of total colleges
State B: $15\%$ of total colleges
State C: $20\%$ of total colleges
State D: $30\%$ of total colleges

Let's calculate the number of colleges in each state:

Number of colleges in State A $= 35\%$ of $4000 = \frac{35}{100} \times 4000 = 35 \times 40 = 1400$
Number of colleges in State B $= 15\%$ of $4000 = \frac{15}{100} \times 4000 = 15 \times 40 = 600$
Number of colleges in State C $= 20\%$ of $4000 = \frac{20}{100} \times 4000 = 20 \times 40 = 800$
Number of colleges in State D $= 30\%$ of $4000 = \frac{30}{100} \times 4000 = 30 \times 40 = 1200$

We can verify the total: $1400 + 600 + 800 + 1200 = 4000$. This matches the total number of colleges given.

Step 2: Calculate the Number of Colleges Offering Python in Each State

The table also provides the percentage of colleges offering the Python course in each state.

State A: $86\%$ of colleges in State A offer Python
State B: $80\%$ of colleges in State B offer Python
State C: $74\%$ of colleges in State C offer Python
State D: $68\%$ of colleges in State D offer Python

Now, let's calculate the actual number of colleges offering Python in each state using the total number of colleges in each state calculated in Step 1:

Number of colleges offering Python in State A $= 86\%$ of $1400 = \frac{86}{100} \times 1400 = 86 \times 14 = 1204$
Number of colleges offering Python in State B $= 80\%$ of $600 = \frac{80}{100} \times 600 = 80 \times 6 = 480$
Number of colleges offering Python in State C $= 74\%$ of $800 = \frac{74}{100} \times 800 = 74 \times 8 = 592$
Number of colleges offering Python in State D $= 68\%$ of $1200 = \frac{68}{100} \times 1200 = 68 \times 12 = 816$

Step 3: Compare the Number of Colleges Offering Python with 460

We need to check for each state if the number of colleges offering the Python course is more than 460.

State A: $1204$. Is $1204 > 460$? Yes.
State B: $480$. Is $480 > 460$? Yes.
State C: $592$. Is $592 > 460$? Yes.
State D: $816$. Is $816 > 460$? Yes.

In all four states (A, B, C, and D), the number of colleges offering the Python course is found to be more than 460.

Summary Table of Calculations

State	% Distribution of Colleges	Total Colleges in State	% Offering Python	Number of Colleges Offering Python	More than 460?
A	$35\%$	$1400$	$86\%$	$1204$	Yes ($1204 > 460$)
B	$15\%$	$600$	$80\%$	$480$	Yes ($480 > 460$)
C	$20\%$	$800$	$74\%$	$592$	Yes ($592 > 460$)
D	$30\%$	$1200$	$68\%$	$816$	Yes ($816 > 460$)

From the table and our comparison, we can see that all four states have more than 460 colleges offering the Python course.

Revision Table: Key Concepts Revisited

Concept	Explanation	Relevance to Problem
Percentage Calculation	Finding a part of a whole based on a given percentage. Formula: $\text{Percentage} \times \text{Whole} / 100$	Used to find the number of colleges in each state and the number of colleges offering Python in each state.
Data Interpretation	Extracting meaningful information from tables or charts to answer specific questions.	The core skill required to solve this problem using the provided data table.
Total vs. Distributed Values	Understanding how a total quantity is divided among different categories or groups based on distribution percentages.	Crucial for calculating the number of colleges in each individual state from the total.

Additional Information: Understanding Data Tables in MCQs

Data interpretation questions often use tables to present numerical data. These tables typically show different categories or variables and their corresponding values. To effectively answer questions based on data tables, you should:

Carefully read the title and headings of the table to understand what data is being presented.
Look at the rows and columns to identify the different parameters and how they are measured (e.g., percentage, absolute number).
Pay attention to any notes or footnotes that might provide additional context or definitions.
Identify the specific data points needed to answer the question.
Perform the necessary calculations (addition, subtraction, multiplication, division, percentage calculations, ratio, average, etc.) accurately.
Compare values as required by the question (e.g., greater than, less than, difference, ratio).
Double-check your calculations to avoid errors.

This particular problem involved simple percentage calculations and comparisons, which are fundamental skills for data interpretation.

Prepp Team · Answer

Only three states

Prepp Team · Answer

Only two states

Prepp Team · Answer

Only one state

State	% of Colleges offering				% Distribution of Number of Colleges
State	Python	Java	Multimedia	Al	% Distribution of Number of Colleges
A	86%	74%	59%	56%	35%
B	80%	92%	82%	84%	15%
C	74%	88%	84%	86%	20%
D	68%	64%	68%	70%	30%

District	Male teachers	Female teachers
East	1650	2375
North	1075	2651
West	1280	1520
South	1170	1085
Central	690	859

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

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

2014-2015	2015-2016	2016-0217	2017-2018	2018-2019
625	690	725	775	815