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Question

Study the given table carefully and answer the questions that follow

Train
Number

Source
Station

Destination
Station

Distance
(km)

Speed
(km/h)

Fair per
person(Rs)

Total
Seats

Reserved
Seats

1001

A

P

1200

130

3000

680

400

1002

B

Q

1080

160

3600

870

550

1003

C

R

1280

155

2800

650

350

1004

D

S

1250

130

2900

980

620

1005

E

T

1180

125

3200

780

520

Which train has minimum number of vacant seats?

The correct answer is

1005

Finding the Train with Minimum Vacant Seats

The question asks us to determine which train has the minimum number of vacant seats based on the information provided in the table. To do this, we need to calculate the number of vacant seats for each train listed in the options.

The number of vacant seats for any train can be found by subtracting the number of Reserved Seats from the Total Seats.

Vacant Seats = Total Seats - Reserved Seats

Let's calculate the vacant seats for the trains given in the options:

Train Number Total Seats Reserved Seats Vacant Seats (Total Seats - Reserved Seats)
1001 680 400 $680 - 400 = 280$
1002 870 550 $870 - 550 = 320$
1003 650 350 $650 - 350 = 300$
1005 780 520 $780 - 520 = 260$

Comparing the number of vacant seats for the trains in the options:

  • Train 1001: 280 vacant seats
  • Train 1002: 320 vacant seats
  • Train 1003: 300 vacant seats
  • Train 1005: 260 vacant seats

By comparing these values ($280, 320, 300, 260$), we can see that the minimum number of vacant seats is 260.

This minimum number of vacant seats (260) corresponds to Train Number 1005.

Therefore, Train 1005 has the minimum number of vacant seats among the given options.

Revision Table: Train Data Analysis

Train Number Total Seats Reserved Seats Calculated Vacant Seats Comparison
1001 680 400 280 -
1002 870 550 320 -
1003 650 350 300 -
1005 780 520 260 Minimum

Additional Information: Understanding Train Data Tables

Data tables like the one provided are common in quantitative reasoning and data interpretation questions. They organize information about multiple entities (like trains) across various attributes (like distance, speed, fare, seats). To answer questions based on such tables, you often need to:

  • Read the table headings carefully to understand what each column represents.
  • Locate the specific rows or columns needed to answer the question.
  • Perform calculations using the data (e.g., subtraction, addition, percentage, ratio) as required by the question.
  • Compare values across different rows or columns to find maximums, minimums, differences, etc.

In this specific problem, understanding the terms 'Total Seats' and 'Reserved Seats' was key to calculating 'Vacant Seats'. Many data interpretation questions require simple arithmetic operations to derive the answer from the raw data presented in the table.

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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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