Maths Problems
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Questions and Answers

If the side of a square is doubled, then the area will be

  • 16 times
  • 4 times (correct)
  • doubles
  • 8 times

    • What is 15% of 220?

  • 33 (correct)
  • 22
  • 26
  • 24

    • 30% of 450 apples are rotten. How many apples are fine?

  • 125
  • 135
  • 315 (correct)
  • 140

    • What is the value of 8888 + 888 + 88 + 8?

    <p>9784 (C)</p> Signup and view all the answers

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

    <p>920 (C)</p> Signup and view all the answers

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

    <p>19/20 (B)</p> Signup and view all the answers

    In a school, 85 boys and 35 girls took a public examination. If the mean marks obtained for boys was 40% and that of girls was 60%, then what is the average marks obtained in the school in percentage?

    <p>54.16 (C)</p> Signup and view all the answers

    A sum of money doubles itself in 20 years at simple interest. In how many years will it be four times?

    <p>40 (B)</p> Signup and view all the answers

    The rate of annual growth of population is 5%. If the current population of a city is 140000, what will be the approximate population after 3 years?

    <p>163775 (A)</p> Signup and view all the answers

    If the area of a square is 16, what is the length of its side?

    <p>4 (A)</p> Signup and view all the answers

    What will be the average of the first ten even numbers?

    <p>12.5 (A)</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>35 (A)</p> Signup and view all the answers

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

    <p>36 (C)</p> Signup and view all the answers

    Which of the following is a prime number?

    <p>11 (D)</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 what are the values of a and b respectively?

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

    What will be the value of 1/α + 1/β if α and β are zeroes of the quadratic polynomial x^2 + x - 2?

    <p>1 (D)</p> Signup and view all the answers

    Look at the series: 36, 34, 30, 28, 24,...What should come next?

    <p>20 (C)</p> Signup and view all the answers

    Is 5 + 3√2 a rational number?

    <p>No, it is an irrational number (B)</p> Signup and view all the answers

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

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

    If the average weight of 8 men is increased by 1.5 kg when a new male replaces the man weighing 65 kg, what is the weight of the new person?

    <p>76 kg (D)</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>40000 (B)</p> Signup and view all the answers

    Two trains whose lengths are 180 m and 220 m respectively are running in opposite direction to each other with velocities of 40 km/h and 50 km/h respectively. How long will it take to cross each other?

    <p>22 seconds (D)</p> Signup and view all the answers

    In an examination, 38% of the candidates failed in General Knowledge, 29% of the candidates failed in Mathematics and 10% of the candidates failed in both. What percentage of the candidates will pass in both the subjects?

    <p>50 % (A)</p> Signup and view all the answers

    What is the value of 0.000033 / 0.11?

    <p>0.003 (A)</p> Signup and view all the answers

    Which of the following is a prime number?

    <p>97 (A)</p> Signup and view all the answers

    If the average weight of 8 men is 65 kg, what is the total weight of the 8 men?

    <p>520 kg (C)</p> Signup and view all the answers

    A train travels from city A to city B at a speed of 40 km/h and returns at a speed of 50 km/h. What is the average speed of the train?

    <p>44 km/h (A)</p> Signup and view all the answers

    If 25% of the candidates failed in Mathematics and 15% of the candidates failed in both Mathematics and General Knowledge, what percentage of the candidates failed in General Knowledge?

    <p>40 % (A)</p> Signup and view all the answers

    What is the total number of questions in this question paper?

    <p>100 (B)</p> Signup and view all the answers

    What is the time duration of this examination?

    <p>3 hours (C)</p> Signup and view all the answers

    What is the maximum mark for this question paper?

    <p>100 (D)</p> Signup and view all the answers

    Which language can be used to answer questions in Part-B?

    <p>Either Hindi or English (C)</p> Signup and view all the answers

    What is the penalty for using unfair means in the examination?

    <p>Disqualification (D)</p> Signup and view all the answers

    Which city is the capital of Chhattisgarh?

    <p>Raipur (C)</p> Signup and view all the answers

    What is the opposite of 'hot'?

    <p>Cold (D)</p> Signup and view all the answers

    What is the increase in the average weight of 8 men when a new person replaces a man weighing 65 kg, if the new person weighs x kg?

    <p>x - 65 + 1.5 (B)</p> Signup and view all the answers

    What is the total area of the floor that can be made with bricks of 20 cm × 10 cm?

    <p>25000 square meters (D)</p> Signup and view all the answers

    If 38% of the candidates failed in General Knowledge and 29% of the candidates failed in Mathematics, what percentage of the candidates failed in at least one subject?

    <p>100 - (100 - 38) × (100 - 29) / 100 (B)</p> Signup and view all the answers

    What is the value of x in the equation 0.000033 / 0.11 = x?

    <p>0.0003 (C)</p> Signup and view all the answers

    Which of the following numbers can be expressed as a product of three prime numbers?

    <p>33 (D)</p> Signup and view all the answers

    If the average weight of 8 men is increased by 1.5 kg, what is the total increase in weight of the 8 men?

    <p>1.5 kg × 8 (B)</p> Signup and view all the answers

    What is the speed of the train when it travels from city A to city B and returns at a speed of 50 km/h?

    <p>45 km/h (D)</p> Signup and view all the answers

    If the side of a square is doubled and its area is increased by 4 times, what is the length of the side of the original square?

    <p>2 units (B)</p> Signup and view all the answers

    What is the total percentage of marks obtained by the boys and girls in the school?

    <p>100% (A)</p> Signup and view all the answers

    Which of the following is the national animal of India?

    <p>Tiger (C)</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 eight times?

    <p>80 years (B)</p> Signup and view all the answers

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

    <p>189720 (B)</p> Signup and view all the answers

    If Uttar Pradesh is related to Lucknow, then Rajasthan is related to which of the following?

    <p>Jaipur (C)</p> Signup and view all the answers

    A man gave 1/4th of his property to his daughter, 1/2 to his sons, and 1/5th to charity. What is the remaining fraction of his property?

    <p>3/20 (D)</p> Signup and view all the answers

    Which of the following is the largest continent in the world?

    <p>Asia (A)</p> Signup and view all the answers

    What is the average of the first five even numbers?

    <p>6 (A)</p> Signup and view all the answers

    How many revolutions will the hour hand of a clock complete in 72 hours?

    <p>6 (B)</p> Signup and view all the answers

    In which day is India's National Festival Mahatma Gandhi Jayanti celebrated?

    <p>2nd October (A)</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>15 (A)</p> Signup and view all the answers

    Which international organization is the United Nations?

    <p>United Nations (D)</p> Signup and view all the answers

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

    <p>35 (C)</p> Signup and view all the answers

    Image : View :: Book : ?

    <p>Reading (B)</p> Signup and view all the answers

    How many states are there in India?

    <p>29 (A)</p> Signup and view all the answers

    How many Union Territories are there in India?

    <p>8 (D)</p> Signup and view all the answers

    Where is the Statue of Unity situated?

    <p>Gujrat (A)</p> Signup and view all the answers

    On which day is International Women's Day celebrated?

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

    Where does most of the processing take place in a computer?

    <p>CPU (D)</p> Signup and view all the answers

    Who is called the magician of hockey?

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

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

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

    What is measured by the Richter Scale?

    <p>Earthquake intensity (C)</p> Signup and view all the answers

    Study Notes

    Mathematics Problems

    • If the side of a square is doubled, the area will be 4 times.
    • 15% of 220 is 33.
    • If 30% of 450 apples are rotten, 315 apples are fine.
    • The calculation 8888 + 888 + 88 + 8 equals 9784.
    • The calculation 100 × 10 – 100 + 2000 / 100 equals 920.
    • A man gave 1/4th of his property to his daughter, 1/2 to his sons, and 1/5th to charity; he gave 19/20 in total.
    • In a school, if the mean marks obtained for boys was 40% and that of girls was 60%, the average marks obtained in the school is 54.16%.
    • A sum of money doubles itself in 20 years at simple interest; it will be four times in 40 years.
    • The rate of annual growth of population is 5%; in three years, the population will increase by 15.76%.
    • The average of the first ten even numbers is 11.

    Algebra and Equations

    • 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 equals 29.
    • If ÷ means ×, – means +, × means –, and + means ÷, then 20 + 4 × 6 – 5 ÷ 7 equals 28.

    Prime Numbers and Irrational Numbers

    • 11 is a prime number.
    • 5 + 3√2 is an irrational number.
    • sinθ – cosθ equals 0 when θ = 90°.

    Quadratic Equations

    • If α and β are zeroes of the quadratic polynomial x² + x – 2, then 1/α + 1/β equals 1.

    Linear Equations

    • If x = a, y = b are solutions of the equations x – y = 2 and x + y = 4, then a and b are 3 and 1 respectively.

    Series and Patterns

    • The next number in the series 36, 34, 30, 28, 24 is 20.

    Geometry and Measurement

    • 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.
    • 25000 bricks of 20 cm × 10 cm can be used to make a floor of 25 m × 16 m.
    • Two trains with lengths of 180 m and 220 m respectively, running in opposite directions at velocities of 40 km/h and 50 km/h respectively, will take 18 seconds to cross each other.

    Probability and Statistics

    • In an examination, 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 the subjects.

    South East Central Railway Written Examination

    • The examination is for the appointment on compassionate grounds in Group C.
    • The examination consists of 100 objective type questions, divided into two parts: Part A (English Language Test) and Part B (Hindi or English).
    • The total marks for the examination are 100.

    Instructions

    • All questions are compulsory and carry 1 mark each.
    • The use of calculators, mobile phones, and other electronic gadgets is strictly prohibited in the examination hall.
    • Candidates found using any foul means will be disqualified.

    Mathematics

    • If the side of a square is doubled, the area will be 4 times the original area.
    • 15% of 220 is 33.
    • 30% of 450 apples are rotten, so 315 apples are fine.
    • The calculation 8888 + 888 + 88 + 8 = 9784.

    Algebra

    • The factors of (m3 – 4m) are m(m – 2) and (m + 2).

    Data Analysis

    • The average weight of 8 men increases by 1.5 kg when a new male replaces the man weighing 65 kg.
    • The average marks obtained by boys in a public examination is 40%, and that of girls is 60%.
    • A sum of money doubles itself in 20 years at simple interest, and it will be four times in 40 years.

    Geometry

    • The number of bricks required to make a floor of 25 m × 16 m is 25000.

    Trains

    • Two trains, 180 m and 220 m in length, are running in opposite directions. The time taken to cross each other is 16 seconds.

    General Knowledge

    • The national festival of India is Mahatma Gandhi Jayanti, celebrated on October 2nd.
    • The capital of India is Delhi.
    • The national animal of India is the tiger.
    • The largest continent in the world is Asia.
    • The United Nations is an international organization.
    • There are 28 states in India.
    • There are 7 Union Territories in India.
    • The Statue of Unity is situated in Gujarat.

    Computer

    • Most of the processing in a computer takes place in the CPU.

    Sports

    • Major Dhyan Chand is known as the magician of hockey.

    Ministry

    • The current Railway Minister of India is Piyush Goyal.

    Flag

    • The white stripe of the national flag tricolor indicates peace and truth.

    Science

    • The Richter Scale is used to measure the magnitude of earthquakes.

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    South East Central Railway Exam Paper PDF

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    Practice maths questions on squares, percentages, and basic calculations.

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