Rashtriya Military School CET Mock Test Paper for Class 9 Admission

Rashtriya Military School CET Mock Test Paper for Class 9 Admission

Rashtriya Military School (RMS) CET – Mock Question Paper for Class 9 Admission

Time Allowed: 2 hours

Total Marks: 200

Section A: English (50 Marks)

1. Comprehension Passage (10 Marks)
Read the following passage and answer the questions that follow:

Passage:
In the present-day world, the importance of education cannot be overstated. It is the key to unlocking one’s potential and achieving success in life. Education is not limited to classroom learning but extends to life skills, critical thinking, and building a responsible citizenry. A well-rounded education can guide individuals in making informed decisions, understanding global issues, and contributing positively to society. In today’s knowledge-driven economy, education also plays a crucial role in improving the standards of living, enabling individuals to break the cycle of poverty and contribute to the country’s growth.

Questions:

  1. What is the primary role of education in modern society?
  2. How does education help individuals in making informed decisions?
  3. What are the broader aspects of education beyond classroom learning?
  4. According to the passage, how does education affect global issues?
  5. Why is education important for economic growth?

2. Vocabulary (10 Marks)
Choose the correct meaning of the following words:

  1. Overstated
    a) Minimised
    b) Overemphasised
    c) Underestimated
    d) Ignored
  2. Unlocking
    a) Opening
    b) Closing
    c) Securing
    d) Restricting
  3. Potential
    a) Present strength
    b) Hidden talent
    c) Physical capacity
    d) Completed achievement
  4. Contributing
    a) Taking
    b) Giving
    c) Destroying
    d) Wasting
  5. Knowledge-driven
    a) Based on information
    b) Based on emotions
    c) Based on instincts
    d) Based on leisure

3. Grammar (10 Marks)
Fill in the blanks with the correct form of the word in brackets:

  1. He ______ (go) to school every day.
  2. If I ______ (be) you, I would study harder.
  3. The teacher ______ (explain) the lesson when I entered.
  4. They ______ (finish) their homework by 5 PM.
  5. I have ______ (many) friends than he does.

4. Sentence Formation (10 Marks)
Rearrange the following words to form meaningful sentences:

  1. school / going / is / to / he
  2. study / I / must / for / the / exam
  3. good / she / a / is / student
  4. help / you / me / can / with / this
  5. the / movie / enjoyed / we

5. Writing (10 Marks)
Write a short essay (150-200 words) on the following topic:
“The Role of Education in Shaping a Better Society.”

Section B: Mathematics (50 Marks)

1. Arithmetic (10 Marks)

  1. If the cost of 3 books is ₹180, what is the cost of 5 books?
  2. A person buys a car for ₹5,00,000 and sells it for ₹4,50,000. What is the loss percentage?
  3. A train travels 72 km in 1.5 hours. What is the speed of the train?
  4. Find the average of the following numbers: 12, 15, 18, 20, 25.
  5. A shopkeeper offers a 10% discount on an item that costs ₹200. What is the selling price?

2. Algebra (10 Marks)
Solve the following equations:

  1. 2x+3=112x + 3 = 112x+3=11
  2. 3a−4=83a – 4 = 83a−4=8
  3. 5y+2=3y+105y + 2 = 3y + 105y+2=3y+10
  4. 4m−2=2m+64m – 2 = 2m + 64m−2=2m+6
  5. 3x+5=2x+73x + 5 = 2x + 73x+5=2x+7

3. Geometry (10 Marks)

  1. Find the area of a triangle with a base of 10 cm and height 8 cm.
  2. What is the perimeter of a rectangle with length 15 cm and breadth 10 cm?
  3. The radius of a circle is 7 cm. Find its circumference. (Use π=3.14\pi = 3.14π=3.14)
  4. Calculate the volume of a cuboid with dimensions 6 cm × 4 cm × 3 cm.
  5. Find the area of a square with a side of 9 cm.

4. Time and Work (10 Marks)

  1. If 4 workers can complete a task in 10 days, how many days will 6 workers take to complete the same task?
  2. A pipe fills a tank in 5 hours, and another pipe empties the tank in 7 hours. How long will it take to fill the tank if both pipes are open?
  3. A person can do a task in 12 hours. How long will it take for him to complete the task if he works for 8 hours a day?
  4. If 8 workers can complete a job in 16 days, how many workers are required to complete the same job in 8 days?
  5. A machine can produce 100 units per hour. How many units will it produce in 8 hours?

5. Data Interpretation (10 Marks)
The following table shows the number of books issued by three students in a library over 5 days:

StudentMondayTuesdayWednesdayThursdayFriday
A57689
B68754
C76578
  1. What is the total number of books issued by Student A?
  2. Which student issued the maximum number of books on Wednesday?
  3. What is the average number of books issued by Student B?
  4. How many books were issued by all students combined on Thursday?
  5. What is the total number of books issued by all students on Friday?

Section C: General Knowledge (50 Marks)

1. General Knowledge (20 Marks)

  1. Who is the current Prime Minister of India?
  2. Name the capital of Canada.
  3. Which planet is known as the “Red Planet”?
  4. Who invented the lightbulb?
  5. What is the longest river in the world?
  6. Who is known as the “Father of the Nation” in India?
  7. What is the national bird of India?
  8. Which is the largest continent in the world?
  9. Who wrote the book “The Diary of a Young Girl”?
  10. What is the currency of Japan?

2. History and Geography (15 Marks)

  1. Who was the first President of India?
  2. Which is the smallest country in the world by area?
  3. Which country is known as the “Land of the Rising Sun”?
  4. Where is the Great Barrier Reef located?
  5. Which is the highest mountain in the world?
  6. What is the capital of France?
  7. Who was the first man to land on the moon?
  8. Which river flows through Egypt?
  9. What is the capital of Australia?
  10. Who was the first emperor of the Maurya dynasty in India?

3. Current Affairs (15 Marks)

  1. Which country won the 2020 Summer Olympics?
  2. Who is the current President of the United States?
  3. In which year did India gain independence?
  4. Which country launched the rover “Perseverance” on Mars?
  5. What is the full form of “UNESCO”?
  6. Which country hosted the 2022 FIFA World Cup?
  7. Who won the 2021 Nobel Prize for Peace?
  8. Which country recently withdrew from the Paris Climate Agreement?
  9. Who is the current Chancellor of Germany?
  10. Which country recently adopted the “Green New Deal”?

Section D: Intelligence Test (50 Marks)

1. Analogies (10 Marks)

  1. Dog : Bark :: Cat : _______
  2. Bird : Fly :: Fish : _______
  3. Book : Read :: Pen : _______
  4. Tree : Leaf :: Flower : _______
  5. Car : Drive :: Train : _______

2. Series Completion (10 Marks)

  1. 3, 6, 9, 12, ?
  2. 1, 4, 9, 16, ?
  3. 2, 4, 8, 16, ?
  4. 5, 10, 15, 20, ?
  5. 10, 20, 40, 80, ?

3. Logical Reasoning (10 Marks)

  1. Which number comes next in the series: 1, 4, 9, 16, ?
  2. Which of the following is the odd one out?
    a) Circle
    b) Square
    c) Triangle
    d) Cube
  3. If all cats are animals and some animals are black, can we say some cats are black?
    a) Yes
    b) No
    c) Cannot be determined
    d) None

4. Direction Sense (10 Marks)

  1. A person walks 10 meters north, then turns left and walks 5 meters. He turns left again and walks 10 meters. Finally, he turns left and walks 5 meters. Where is he in relation to his starting point?
  2. A person starts from his house and walks 100 meters north, then turns right and walks 50 meters. Where is he now in relation to his house?

5. Coding-Decoding (10 Marks)

  1. If “CAT” is written as “DBU”, how is “DOG” written in the same code?
  2. If “MOUSE” is written as “NPTVF”, how is “HOUSE” written in the same code?

Disclaimer:

This is a mock test paper created for practice purposes, based on the typical structure and pattern of the Rashtriya Military School (RMS) Common Entrance Test (CET) for Class 9 Admission. The questions and answers are designed to reflect the style and type of questions that may appear in the actual exam, but they are not official and may not exactly match the real test. Candidates should refer to official RMS resources for the most accurate and up-to-date information.

Amswer

Section A: English (50 Marks)

1. Comprehension Passage (10 Marks)

Questions:

  1. What is the primary role of education in modern society?
    • Education unlocks one’s potential and helps in achieving success in life.
  2. How does education help individuals in making informed decisions?
    • Education provides knowledge and skills, enabling individuals to make informed decisions.
  3. What are the broader aspects of education beyond classroom learning?
    • Education also includes life skills, critical thinking, and building responsible citizenship.
  4. According to the passage, how does education affect global issues?
    • Education helps individuals understand global issues and contribute positively to society.
  5. Why is education important for economic growth?
    • Education improves living standards, helps break the cycle of poverty, and contributes to national development.

2. Vocabulary (10 Marks)

Questions:

  1. Overstated
    • Answer: b) Overemphasised
  2. Unlocking
    • Answer: a) Opening
  3. Potential
    • Answer: b) Hidden talent
  4. Contributing
    • Answer: b) Giving
  5. Knowledge-driven
    • Answer: a) Based on information

3. Grammar (10 Marks)

Fill in the blanks with the correct form of the word in brackets:

  1. He goes to school every day.
  2. If I were you, I would study harder.
  3. The teacher was explaining the lesson when I entered.
  4. They had finished their homework by 5 PM.
  5. I have more friends than he does.

4. Sentence Formation (10 Marks)

Rearrange the words to form meaningful sentences:

  1. He is going to school.
  2. I must study for the exam.
  3. She is a good student.
  4. Can you help me with this?
  5. We enjoyed the movie.

5. Writing (10 Marks)

Essay: “The Role of Education in Shaping a Better Society”

  • Answer outline:
    • Introduction: Importance of education in today’s world.
    • Body: How education shapes individuals’ minds, enhances critical thinking, helps develop life skills, and prepares them to contribute to society.
    • Conclusion: Education is a foundation for progress, innovation, and social harmony, fostering a better society.

Section B: Mathematics (50 Marks)

1. Arithmetic (10 Marks)

  1. If the cost of 3 books is ₹180, what is the cost of 5 books?
    • Cost of 1 book = ₹180 / 3 = ₹60
    • Cost of 5 books = ₹60 × 5 = ₹300
  2. A person buys a car for ₹5,00,000 and sells it for ₹4,50,000. What is the loss percentage?
    • Loss = ₹5,00,000 – ₹4,50,000 = ₹50,000
    • Loss percentage = (Loss / Cost price) × 100 = (50,000 / 5,00,000) × 100 = 10%
  3. A train travels 72 km in 1.5 hours. What is the speed of the train?
    • Speed = Distance / Time = 72 km / 1.5 hours = 48 km/h
  4. Find the average of the following numbers: 12, 15, 18, 20, 25.
    • Average = (12 + 15 + 18 + 20 + 25) / 5 = 90 / 5 = 18
  5. A shopkeeper offers a 10% discount on an item that costs ₹200. What is the selling price?
    • Discount = 10% of ₹200 = ₹20
    • Selling price = ₹200 – ₹20 = ₹180

2. Algebra (10 Marks)

  1. 2x+3=112x + 3 = 112x+3=11
    • 2x=11−3=82x = 11 – 3 = 82x=11−3=8
    • x=8/2=4x = 8 / 2 = 4x=8/2=4
  2. 3a−4=83a – 4 = 83a−4=8
    • 3a=8+4=123a = 8 + 4 = 123a=8+4=12
    • a=12/3=4a = 12 / 3 = 4a=12/3=4
  3. 5y+2=3y+105y + 2 = 3y + 105y+2=3y+10
    • 5y−3y=10−25y – 3y = 10 – 25y−3y=10−2
    • 2y=82y = 82y=8
    • y=8/2=4y = 8 / 2 = 4y=8/2=4
  4. 4m−2=2m+64m – 2 = 2m + 64m−2=2m+6
    • 4m−2m=6+24m – 2m = 6 + 24m−2m=6+2
    • 2m=82m = 82m=8
    • m=8/2=4m = 8 / 2 = 4m=8/2=4
  5. 3x+5=2x+73x + 5 = 2x + 73x+5=2x+7
    • 3x−2x=7−53x – 2x = 7 – 53x−2x=7−5
    • x=2x = 2x=2

3. Geometry (10 Marks)

  1. Find the area of a triangle with a base of 10 cm and height 8 cm.
    • Area = (Base × Height) / 2 = (10 × 8) / 2 = 40 cm²
  2. What is the perimeter of a rectangle with length 15 cm and breadth 10 cm?
    • Perimeter = 2 × (Length + Breadth) = 2 × (15 + 10) = 50 cm
  3. The radius of a circle is 7 cm. Find its circumference. (Use π=3.14\pi = 3.14π=3.14)
    • Circumference = 2×π×r2 \times \pi \times r2×π×r = 2 × 3.14 × 7 = 43.96 cm
  4. Calculate the volume of a cuboid with dimensions 6 cm × 4 cm × 3 cm.
    • Volume = Length × Breadth × Height = 6 × 4 × 3 = 72 cm³
  5. Find the area of a square with a side of 9 cm.
    • Area = Side² = 9² = 81 cm²

4. Time and Work (10 Marks)

  1. If 4 workers can complete a task in 10 days, how many days will 6 workers take to complete the same task?
    • Work done by 4 workers in 1 day = 1 / 10
    • Work done by 6 workers = 6 × (1 / 40) = 1 / 6
    • Time taken by 6 workers = 6 days
  2. A pipe fills a tank in 5 hours, and another pipe empties the tank in 7 hours. How long will it take to fill the tank if both pipes are open?
    • Rate of filling = 1/5, Rate of emptying = -1/7
    • Net rate = 1/5 – 1/7 = 7/35 – 5/35 = 2/35
    • Time = 1 / (2/35) = 17.5 hours
  3. A person can do a task in 12 hours. How long will it take for him to complete the task if he works for 8 hours a day?
    • Time taken = 12 hours (since he completes it in 12 hours, working every day)
  4. If 8 workers can complete a job in 16 days, how many workers are required to complete the same job in 8 days?
    • Work done by 8 workers in 1 day = 1/16
    • Work done by x workers = 1/8
    • x=(8×16)/8=16workersx = (8 × 16) / 8 = 16 workersx=(8×16)/8=16workers
  5. A machine can produce 100 units per hour. How many units will it produce in 8 hours?
    • Units produced = 100 × 8 = 800 units

5. Data Interpretation (10 Marks)

  1. What is the total number of books issued by Student A?
    • Total = 5 + 7 + 6 + 8 + 9 = 35 books
  2. Which student issued the maximum number of books on Wednesday?
    • On Wednesday, Student A issued 6, Student B issued 7, and Student C issued 5.
    • Answer: Student B
  3. What is the average number of books issued by Student B?
    • Average = (6 + 8 + 7 + 5 + 4) / 5 = 30 / 5 = 6 books
  4. How many books were issued by all students combined on Thursday?
    • Total = 8 + 5 + 7 = 20 books
  5. What is the total number of books issued by all students on Friday?
    • Total = 9 + 4 + 8 = 21 books

Section C: General Knowledge (50 Marks)

1. General Knowledge (20 Marks)

  1. Who is the current Prime Minister of India?
    • Answer: Narendra Modi
  2. Name the capital of Canada.
    • Answer: Ottawa
  3. Which planet is known as the “Red Planet”?
    • Answer: Mars
  4. Who invented the lightbulb?
    • Answer: Thomas Edison
  5. What is the longest river in the world?
    • Answer: Nile River
  6. Who is known as the “Father of the Nation” in India?
    • Answer: Mahatma Gandhi
  7. What is the national bird of India?
    • Answer: Indian Peacock
  8. Which is the largest continent in the world?
    • Answer: Asia
  9. Who wrote the book “The Diary of a Young Girl”?
    • Answer: Anne Frank
  10. What is the currency of Japan?
  • Answer: Japanese Yen