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Question

The following table shows the number of students admitted (A) and left (L) from the five different colleges (P-T) during the years 2016-2021. Year of foundation of all the five colleges is 2016. Based on the data in the table, answer the questions

Year-wise Distribution of Students

College

P

Q

R

S

T

Year ↓ 

A

L

A

L

A

L

A

L

A

L

2016

2250

-

2100

-

2400

-

3200

-

3100

-

2017

660

440

900

500

840

460

880

500

700

450

2018

580

420

650

430

800

500

800

520

760

460

2019

690

400

570

420

720

450

790

440

820

440

2020

760

500

600

380

680

480

840

450

880

420

2021

700

460

680

440

820

560

920

480

850

430

If M and N represent the number of the students admitted in college S and Q from 2017 to 2021 respectively, then M - N =

The correct answer is 830

Analyzing Student Data from Colleges (2017-2021)

The question asks us to calculate the difference between the total number of students admitted in college S and the total number of students admitted in college Q, both from the year 2017 to 2021. We are given a table showing admitted (A) and left (L) students for five colleges (P, Q, R, S, T) over the years 2016 to 2021.

Step 1: Identify the Required Data

We need to find the number of students admitted (A) for college S and college Q for each year from 2017 to 2021. We will extract this data from the provided table.

College Year Admitted (A)
S 2017 880
S 2018 800
S 2019 790
S 2020 840
S 2021 920
Q 2017 900
Q 2018 650
Q 2019 570
Q 2020 600
Q 2021 680

Step 2: Calculate M - Total Students Admitted in College S (2017-2021)

M is the sum of students admitted in college S from 2017 to 2021.

M = Students admitted in S (2017) + Students admitted in S (2018) + Students admitted in S (2019) + Students admitted in S (2020) + Students admitted in S (2021)

M = $880 + 800 + 790 + 840 + 920$

Let's sum these values:

  • $880 + 800 = 1680$
  • $1680 + 790 = 2470$
  • $2470 + 840 = 3310$
  • $3310 + 920 = 4230$

So, $M = 4230$.

Step 3: Calculate N - Total Students Admitted in College Q (2017-2021)

N is the sum of students admitted in college Q from 2017 to 2021.

N = Students admitted in Q (2017) + Students admitted in Q (2018) + Students admitted in Q (2019) + Students admitted in Q (2020) + Students admitted in Q (2021)

N = $900 + 650 + 570 + 600 + 680$

Let's sum these values:

  • $900 + 650 = 1550$
  • $1550 + 570 = 2120$
  • $2120 + 600 = 2720$
  • $2720 + 680 = 3400$

So, $N = 3400$.

Step 4: Calculate M - N

Finally, we need to find the difference $M - N$.

$M - N = 4230 - 3400$

$M - N = 830$

Conclusion

The difference between the number of students admitted in college S and college Q from 2017 to 2021 is 830.

Revision Table: Key Calculations for College Students

College Year Admitted (A) Sum (2017-2021)
S 2017 880 4230 (M)
S 2018 800
S 2019 790
S 2020 840
S 2021 920
Q 2017 900 3400 (N)
Q 2018 650
Q 2019 570
Q 2020 600
Q 2021 680

Difference $M - N = 4230 - 3400 = 830$.

Additional Information on Data Interpretation

Data interpretation questions often require carefully extracting specific information from tables or graphs. It's important to:

  • Read the question carefully to understand exactly which data points are needed (e.g., admitted vs. left, specific years, specific colleges).
  • Identify the relevant rows and columns in the table or parts of the graph.
  • Perform the requested calculation (sum, average, difference, ratio, percentage change, etc.) accurately.
  • Be mindful of the time periods specified (e.g., 2017 to 2021 means including both 2017 and 2021).
  • Double-check calculations to avoid errors.

This question specifically focused on the 'Admitted' students and required summing values over a specific range of years for two different colleges before finding the difference.

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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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