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Question

The following table shows the cumulative percentage of the total number of students appearing in the Hindi and Punjabi examination and the cumulative number of students appearing in the Hindi examination and scoring marks in five different categories, namely, 80 and above; 70 and above; 60 and above; 50 and above; and 40 and above. Based on the data in the table, answer the questions that follow.

Marks-wise distribution of students
Marks (Out of 100)Cumulative precentage of the total number of students who appeared in Hindi and PunjabiCumulative number of students who appeared in Hindi
80 and above15%108
70 and above35%264
60 and above65%424
50 and above90%554
40 and above100%624

Note:
(1) Total number of students who attended the exam is 1200.
(2) No student failed in the examination.
(3) Each student appeared in only one exam, that is, either in Hindi or in Punjabi exam.

What is the sum of the number of students who scored 70 or more than 70 but less than 80 marks in Hindi and the number of students who scored 80 or more than 80 marks in Punjabi ?

The correct answer is
228

The question asks for the sum of two values: the number of students who scored between 70 and 79 marks (inclusive of 70, exclusive of 80) in the Hindi exam, and the number of students who scored 80 or more marks in the Punjabi exam.

Calculating Hindi Students Scoring 70-79 Marks

We need to find the number of Hindi students who scored in the range [70, 79].

  • From the table, the cumulative number of students who appeared in Hindi and scored 70 or above is 264.
  • The cumulative number of students who appeared in Hindi and scored 80 or above is 108.
  • The number of students scoring between 70 and 79 marks (i.e., >= 70 and < 80) in Hindi is the difference between these two cumulative numbers.

Calculation:

Number of Hindi students (70-79 marks) = (Cumulative Hindi students scoring 70+) - (Cumulative Hindi students scoring 80+)

Number of Hindi students (70-79 marks) = 264 - 108 = 156

Calculating Punjabi Students Scoring 80 or More Marks

We need to find the number of Punjabi students who scored 80 or more marks.

  • The table provides the 'Cumulative percentage of the total number of students who appeared in Hindi and Punjabi' scoring 80 and above, which is 15%.
  • The total number of students who attended the exam is given as 1200.
  • Therefore, the total number of students (Hindi + Punjabi) scoring 80 and above is 15% of 1200.
  • The number of Hindi students scoring 80 and above is given as 108.
  • Since each student appeared in only one exam (Hindi or Punjabi), the number of Punjabi students scoring 80 and above can be found by subtracting the Hindi students scoring 80+ from the total students scoring 80+.

Calculations:

Total students (80+ marks) = 15% of 1200

Total students (80+ marks) = $\\frac{15}{100} \\times 1200 = 15 \\times 12 = 180$

Number of Punjabi students (80+ marks) = (Total students scoring 80+ marks) - (Hindi students scoring 80+ marks)

Number of Punjabi students (80+ marks) = 180 - 108 = 72

Calculating the Total Sum

The question asks for the sum of:

  • Number of Hindi students scoring 70-79 marks = 156
  • Number of Punjabi students scoring 80+ marks = 72

Total Sum = 156 + 72 = 228

The sum of the number of students who scored 70 or more than 70 but less than 80 marks in Hindi and the number of students who scored 80 or more than 80 marks in Punjabi is 228.

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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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