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Maths Problems

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65 Questions

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

4 times

What is 15% of 220?

33

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

315

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

9784

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

920

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?

19/20

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?

54.16

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

40

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?

163775

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

4

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

12.5

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?

35

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

36

Which of the following is a prime number?

11

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?

3, 1

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

1

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

20

Is 5 + 3√2 a rational number?

No, it is an irrational number

What are the factors of (m3 – 4m)?

m(m + 2) (m – 2)

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?

76 kg

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

40000

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?

22 seconds

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?

50 %

What is the value of 0.000033 / 0.11?

0.003

Which of the following is a prime number?

97

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

520 kg

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?

44 km/h

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?

40 %

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

100

What is the time duration of this examination?

3 hours

What is the maximum mark for this question paper?

100

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

Either Hindi or English

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

Disqualification

Which city is the capital of Chhattisgarh?

Raipur

What is the opposite of 'hot'?

Cold

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?

x - 65 + 1.5

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

25000 square meters

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?

100 - (100 - 38) × (100 - 29) / 100

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

0.0003

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

33

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

1.5 kg × 8

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?

45 km/h

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?

2 units

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

100%

Which of the following is the national animal of India?

Tiger

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

80 years

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?

189720

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

Jaipur

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?

3/20

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

Asia

What is the average of the first five even numbers?

6

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

6

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

2nd October

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?

15

Which international organization is the United Nations?

United Nations

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

35

Image : View :: Book : ?

Reading

How many states are there in India?

29

How many Union Territories are there in India?

8

Where is the Statue of Unity situated?

Gujrat

On which day is International Women's Day celebrated?

8 March

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

CPU

Who is called the magician of hockey?

Major Dhyan Chand

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

Peace and Truth

What is measured by the Richter Scale?

Earthquake intensity

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.

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

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