Math Quiz: Average and Operations
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Questions and Answers

What is the selling price of the table?

  • 730 (correct)
  • 720
  • 746
  • 780
  • What is the average age of the boys in the class now?

  • 10.33 years (correct)
  • 20 years
  • 10 years
  • 10.5 years
  • What is the percentage profit?

  • 16 2/3 (correct)
  • 20
  • 25
  • 15
  • How many students are there in the row?

    <p>31</p> Signup and view all the answers

    What is the increase in population of the city after three years?

    <p>24000</p> Signup and view all the answers

    What is the length of the electric pole?

    <p>108 meters</p> Signup and view all the answers

    What is the average of the first ten even numbers?

    <p>10</p> Signup and view all the answers

    If Q means 'to add', J means 'multiply', T means 'subtract' and K means 'divide by', then what is the value of 30 K 2 Q 3 J 6 T 5?

    <p>29</p> Signup and view all the answers

    If ÷ means ×, – means +, × means – and + means ÷, then what is the value of 20 + 4 × 6-5 ÷ 7?

    <p>28</p> Signup and view all the answers

    Which of the following is a prime number?

    <p>11</p> Signup and view all the answers

    If θ = 90° then sinθ - cosθ =?

    <p>-1</p> Signup and view all the answers

    What type of number is 5 + 3√2?

    <p>Irrational Number</p> Signup and view all the answers

    If x = a, y = b are solutions of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively?

    <p>3, 1</p> Signup and view all the answers

    What is the next number in the series: 36, 34, 30, 28, 24,...?

    <p>20</p> Signup and view all the answers

    If the side of a square is doubled, what will be the change in its area?

    <p>It will be quadrupled</p> Signup and view all the answers

    What is 15% of 220?

    <p>33</p> Signup and view all the answers

    If 30% of 450 apples are rotten, how many are fine?

    <p>315</p> Signup and view all the answers

    What is the simplification of the expression 100 × 10 – 100 + 2000 / 100?

    <p>920</p> Signup and view all the answers

    A man gave away 1/4 of his property to his daughter, 1/2 to his sons, and 1/5 to charity. What fraction of his property did he give away in total?

    <p>9/10</p> Signup and view all the answers

    In a school, the mean marks obtained by boys and girls were 40% and 60% respectively. What is the average marks obtained in the school in percentage?

    <p>54.16</p> Signup and view all the answers

    If a sum of money doubles itself in 20 years at simple interest, in how many years will it be four times?

    <p>40</p> Signup and view all the answers

    If the rate of annual growth of population is 5%, what will be the approximate population of the city after three years if the current population is 140000?

    <p>169525</p> Signup and view all the answers

    How many states are there in India?

    <p>29</p> Signup and view all the answers

    Where is the Statue of Unity situated?

    <p>Gujrat</p> Signup and view all the answers

    When is International Women's Day celebrated?

    <p>8 March</p> Signup and view all the answers

    Who is called the magician of hockey?

    <p>Major Dhyan Chand</p> Signup and view all the answers

    What does the white stripe of the national flag tricolor indicate?

    <p>Peace and Truth</p> Signup and view all the answers

    What is measured using the Richter Scale?

    <p>Earthquake magnitude</p> Signup and view all the answers

    Who is the Railway Minister of India?

    <p>Piyush Goyal</p> Signup and view all the answers

    How many Union Territories are there in India?

    <p>7</p> Signup and view all the answers

    What are the factors of (m3 – 4m)?

    <p>m(m + 2) (m – 2)</p> Signup and view all the answers

    What is the weight of the new person replacing the one who weighed 65 kg?

    <p>76 kg</p> Signup and view all the answers

    How many bricks of 20 cm × 10 cm can be used to make a floor of 25 m × 16 m?

    <p>30000</p> Signup and view all the answers

    How long will it take for two trains to cross each other?

    <p>16 Seconds</p> Signup and view all the answers

    What percentage of candidates will pass in both subjects?

    <p>45 %</p> Signup and view all the answers

    What is the value of 0.0000033 / 0.11?

    <p>0.003</p> Signup and view all the answers

    Which of the following is a prime number?

    <p>97</p> Signup and view all the answers

    What is the total length of the two trains?

    <p>380 m</p> Signup and view all the answers

    Study Notes

    Mathematics

    • The average of the first ten even numbers is 11.
    • If Q means 'to add', J means 'multiply', T means 'subtract', and K means 'divide by', then 30 K 2 Q 3 J 6 T 5 = 29.
    • If ÷ means ×, – means +, × means –, and + means ÷, then 20 + 4 × 6 - 5 ÷ 7 = 28.

    Numbers

    • 11 is a prime number.
    • 5 + 3√2 is an irrational number.
    • If α and β are zeroes of the quadratic polynomial x^2 + x – 2, then 1/α + 1/β = 1.
    • The factors of (m^3 – 4m) are m(m – 2)(m + 2).

    Algebra

    • The next number in the series 36, 34, 30, 28, 24... is 22.
    • If x = a, y = b are solutions of the equations x – y = 2 and x + y = 4, then the values of a and b are 3 and 1 respectively.

    Trigonometry

    • If θ = 90°, then sinθ – cosθ = 1.

    Statistics

    • The average weight of 8 men is increased by 1.5 kg when a new male replaces the man weighing 65 kg. The weight of the new person is 74 kg.
    • If 38% of the candidates failed in General Knowledge, 29% of the candidates failed in Mathematics, and 10% of the candidates failed in both, then 43% of the candidates will pass in both subjects.

    Geometry

    • If the side of a square is doubled, then the area will be 4 times.

    Miscellaneous

    • 0.0000033 / 0.11 = 0.003.
    • 108 m long train crosses an electric pole in 20 seconds. The speed of the train is 32.4 km/h.
    • The average age of 15 boys in a class is 11 years. If 5 more boys of 9 years old join the class, then their average age now will be 10.33 years.
    • The cost price of 18 articles is equal to the selling price of 15 articles. The percentage profit is 20.

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    Description

    Solve two math problems, one on finding the average of the first ten even numbers and another on evaluating an expression using different operations like addition, subtraction, multiplication, and division.

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