hindustan olympiad 2018 question paper class 9 with solved
Class: 9
Time: 1 Hour
Total Questions: 50
Maximum Marks: 50
GENERAL INSTRUCTIONS
- All questions carry equal marks.
- There are 50 questions in the paper.
- Each question has only one correct answer.
- Choose the correct option from A, B, C and D.
- There is no negative marking.
- Sections included are Mathematics, English, Science, General Knowledge and Logical Reasoning.
SECTION A – MATHEMATICS
Q1. Which of the following is an irrational number?
A. 0.25
B. 3/5
C. √7
D. 1.75
Q2. The point (-5, 3) lies in which quadrant?
A. I
B. II
C. III
D. IV
Q3. The degree of the polynomial 7x³ – 4x + 9 is:
A. 1
B. 2
C. 3
D. 4
Q4. If x + 5 = 12, then the value of x is:
A. 5
B. 6
C. 7
D. 8
Q5. Two angles of a triangle are 50° and 60°. The third angle is:
A. 60°
B. 70°
C. 80°
D. 90°
Q6. The area of an equilateral triangle of side 6 cm is:
A. 9√3 cm²
B. 18√3 cm²
C. 12√3 cm²
D. 36√3 cm²
Q7. The perimeter of a square is 48 cm. Its area is:
A. 121 cm²
B. 144 cm²
C. 196 cm²
D. 256 cm²
Q8. The square root of 1.44 is:
A. 1.2
B. 1.4
C. 1.6
D. 1.8
Q9. If the mean of 5, 7, 9, 11 and x is 9, then x is:
A. 11
B. 12
C. 13
D. 14
Q10. A triangle has sides 5 cm, 12 cm and 13 cm. Its area is:
A. 25 cm²
B. 30 cm²
C. 35 cm²
D. 40 cm²
SECTION B – ENGLISH
Q11. Choose the synonym of “rapid”.
A. Slow
B. Quick
C. Weak
D. Late
Q12. Choose the antonym of “ancient”.
A. Old
B. Historic
C. Modern
D. Traditional
Q13. Choose the correctly spelt word.
A. Necessary
B. Neccessary
C. Necesary
D. Nessessary
Q14. Fill in the blank:
She has been living here ___ 2015.
A. for
B. since
C. from
D. by
Q15. Choose the correct form:
When I reached the station, the train ___.
A. leaves
B. has left
C. had left
D. leaving
Q16. One who studies the human mind is called a:
A. Biologist
B. Psychologist
C. Geologist
D. Historian
Q17. Choose the correct sentence.
A. He do his work regularly.
B. He does his work regularly.
C. He doing his work regularly.
D. He done his work regularly.
Q18. Fill in the blank:
Do you mind ___ the door?
A. open
B. opened
C. opening
D. to open
Q19. The idiom “A piece of cake” means:
A. Something very difficult
B. Something very easy
C. Something expensive
D. Something dangerous
Q20. Choose the correct passive voice:
“Ravi wrote a letter.”
A. A letter is written by Ravi.
B. A letter was written by Ravi.
C. A letter has written by Ravi.
D. A letter wrote Ravi.
SECTION C – SCIENCE
Q21. Which particle has a negative charge?
A. Proton
B. Neutron
C. Electron
D. Nucleus
Q22. The SI unit of force is:
A. Joule
B. Watt
C. Newton
D. Pascal
Q23. Which gas is essential for respiration?
A. Nitrogen
B. Oxygen
C. Carbon dioxide
D. Hydrogen
Q24. The basic unit of life is:
A. Tissue
B. Organ
C. Cell
D. Nucleus
Q25. Which of the following is a unicellular organism?
A. Human
B. Mango tree
C. Amoeba
D. Frog
Q26. The process by which green plants prepare food is called:
A. Respiration
B. Photosynthesis
C. Transpiration
D. Digestion
Q27. Which of the following is a renewable source of energy?
A. Coal
B. Petroleum
C. Solar energy
D. Natural gas
Q28. Sound cannot travel through:
A. Solids
B. Liquids
C. Gases
D. Vacuum
Q29. Which organ pumps blood throughout the human body?
A. Brain
B. Lungs
C. Heart
D. Kidney
Q30. The change of water vapour into liquid water is called:
A. Evaporation
B. Condensation
C. Sublimation
D. Freezing
SECTION D – GENERAL KNOWLEDGE
Q31. Who is known as the Father of the Indian Constitution?
A. Mahatma Gandhi
B. Dr. B. R. Ambedkar
C. Jawaharlal Nehru
D. Sardar Patel
Q32. What is the capital of India?
A. Mumbai
B. Kolkata
C. New Delhi
D. Chennai
Q33. Which is the largest planet in our solar system?
A. Earth
B. Mars
C. Jupiter
D. Saturn
Q34. Who wrote the national anthem of India?
A. Bankim Chandra Chattopadhyay
B. Rabindranath Tagore
C. Sarojini Naidu
D. Subhash Chandra Bose
Q35. Which is the longest river in India?
A. Yamuna
B. Ganga
C. Narmada
D. Godavari
Q36. The currency of Japan is:
A. Yuan
B. Won
C. Yen
D. Dollar
Q37. Which planet is known as the Red Planet?
A. Venus
B. Mars
C. Jupiter
D. Mercury
Q38. The national animal of India is:
A. Lion
B. Elephant
C. Tiger
D. Leopard
Q39. Which ocean is the largest in the world?
A. Indian Ocean
B. Atlantic Ocean
C. Pacific Ocean
D. Arctic Ocean
Q40. How many players are there in a cricket team?
A. 9
B. 10
C. 11
D. 12
SECTION E – LOGICAL REASONING
Q41. Find the next number:
2, 4, 8, 16, ___
A. 20
B. 24
C. 30
D. 32
Q42. Find the odd one out.
A. Apple
B. Mango
C. Potato
D. Banana
Q43. If CAT is coded as DBU, then DOG will be coded as:
A. EPH
B. EOG
C. FPH
D. DPH
Q44. Find the missing number:
3, 6, 12, 24, ___
A. 36
B. 42
C. 48
D. 54
Q45. A man walks 10 metres north, then turns right and walks 10 metres. In which direction is he from his starting point?
A. North-West
B. North-East
C. South-East
D. South-West
Q46. If all roses are flowers and some flowers are red, which conclusion is definitely true?
A. All roses are red.
B. Some roses are red.
C. Roses are flowers.
D. No roses are red.
Q47. Find the odd number.
A. 16
B. 25
C. 36
D. 48
Q48. If MONDAY is coded as NPOEBZ, then TUESDAY is coded by moving every letter one step forward. The answer is:
A. UVFTEBZ
B. UVFTEBZ
C. TVFTEBZ
D. UVESDBZ
Q49. Pointing to a boy, Ramesh said, “He is the son of my father’s only son.” Who is the boy to Ramesh?
A. Brother
B. Son
C. Father
D. Uncle
Q50. If today is Monday, what day will it be after 17 days?
A. Tuesday
B. Wednesday
C. Thursday
D. Friday
ANSWER KEY
- C
- B
- C
- C
- B
- B
- B
- A
- C
- B
- B
- C
- A
- B
- C
- B
- B
- C
- B
- B
- C
- C
- B
- C
- C
- B
- C
- D
- C
- B
- B
- C
- C
- B
- B
- C
- B
- C
- C
- C
- D
- C
- A
- C
- B
- C
- D
- A
- B
- C
solved hindustan olympiad 2018 question paper class 9
Hindustan Olympiad Class 9 – Solutions
SECTION A – MATHEMATICS
Q1. Which of the following is an irrational number?
Answer: C. √7
Solution: √7 cannot be expressed in the form p/q, where p and q are integers and q ≠ 0. Therefore, it is irrational.
Q2. The point (-5, 3) lies in which quadrant?
Answer: B. II
Solution:
For the point (-5, 3):
- x-coordinate is negative
- y-coordinate is positive
Therefore, the point lies in the Second Quadrant.
Q3. Degree of 7x³ – 4x + 9
Answer: C. 3
Solution: The highest power of x is 3. Hence, the degree is 3.
Q4. If x + 5 = 12
Answer: C. 7
Solution:
x + 5 = 12
x = 12 – 5
x = 7
Q5. Third angle of the triangle
Answer: B. 70°
Solution:
Sum of angles of a triangle = 180°
Third angle = 180° – 50° – 60°
= 70°
Q6. Area of an equilateral triangle of side 6 cm
Answer: B. 18√3 cm²
Solution:
Area = √3/4 × side²
= √3/4 × 6²
= √3/4 × 36
= 9√3 cm²
Correction: The mathematically correct answer is A. 9√3 cm².
Q7. Area of square
Answer: B. 144 cm²
Solution:
Perimeter = 48 cm
Side = 48 ÷ 4 = 12 cm
Area = side × side
= 12 × 12
= 144 cm²
Q8. √1.44
Answer: A. 1.2
Solution:
1.2 × 1.2 = 1.44
Therefore, √1.44 = 1.2.
Q9. Mean of 5, 7, 9, 11 and x is 9
Answer: C. 13
Solution:
Mean = Sum ÷ Number of observations
9 = (5 + 7 + 9 + 11 + x) ÷ 5
45 = 32 + x
x = 13
Q10. Area of triangle with sides 5 cm, 12 cm and 13 cm
Answer: B. 30 cm²
Solution:
5² + 12² = 25 + 144 = 169 = 13².
Therefore, it is a right-angled triangle.
Area = 1/2 × 5 × 12
= 30 cm²
SECTION B – ENGLISH
Q11. Synonym of “rapid”
Answer: B. Quick
Solution: Rapid means fast or quick.
Q12. Antonym of “ancient”
Answer: C. Modern
Solution: Ancient means very old. Its opposite is modern.
Q13. Correct spelling
Answer: A. Necessary
Solution: The correct spelling is Necessary.
Q14. She has been living here ___ 2015.
Answer: B. since
Solution: Since is used with a particular point of time, such as 2015.
Correct sentence:
She has been living here since 2015.
Q15. When I reached the station, the train ___.
Answer: C. had left
Solution: The train left before the person reached the station. Therefore, Past Perfect Tense is used.
Q16. One who studies the human mind
Answer: B. Psychologist
Solution: A psychologist studies the human mind and behaviour.
Q17. Correct sentence
Answer: B. He does his work regularly.
Solution: With the singular subject He, we use does, not do.
Q18. Do you mind ___ the door?
Answer: C. opening
Solution: After “Do you mind”, a verb is normally followed by -ing.
Correct sentence:
Do you mind opening the door?
Q19. “A piece of cake”
Answer: B. Something very easy
Solution: The idiom “a piece of cake” means something that is very easy to do.
Q20. “Ravi wrote a letter.”
Answer: B. A letter was written by Ravi.
Solution: The original sentence is in the simple past tense. In passive voice:
Object + was/were + past participle + by + subject
Therefore:
A letter was written by Ravi.
SECTION C – SCIENCE
Q21. Negatively charged particle
Answer: C. Electron
Solution: An electron carries a negative charge. A proton is positive and a neutron has no charge.
Q22. SI unit of force
Answer: C. Newton
Solution: The SI unit of force is Newton (N).
Q23. Gas essential for respiration
Answer: B. Oxygen
Solution: Human beings use oxygen during respiration to release energy from food.
Q24. Basic unit of life
Answer: C. Cell
Solution: The cell is the basic structural and functional unit of life.
Q25. Unicellular organism
Answer: C. Amoeba
Solution: Amoeba consists of only one cell, so it is unicellular.
Q26. Food preparation in green plants
Answer: B. Photosynthesis
Solution: Green plants prepare food using sunlight, carbon dioxide and water through photosynthesis.
Q27. Renewable source of energy
Answer: C. Solar energy
Solution: Solar energy is continuously available from the Sun and is therefore a renewable source of energy.
Q28. Sound cannot travel through
Answer: D. Vacuum
Solution: Sound requires a material medium to travel. Since a vacuum has no material medium, sound cannot travel through it.
Q29. Organ that pumps blood
Answer: C. Heart
Solution: The heart pumps blood to different parts of the body.
Q30. Water vapour changes into liquid
Answer: B. Condensation
Solution: The change of a gas or vapour into a liquid is called condensation.
SECTION D – GENERAL KNOWLEDGE
Q31. Father of the Indian Constitution
Answer: B. Dr. B. R. Ambedkar
Solution: Dr. B. R. Ambedkar played a leading role as Chairman of the Drafting Committee of the Constituent Assembly.
Q32. Capital of India
Answer: C. New Delhi
Solution: New Delhi is the capital of India.
Q33. Largest planet
Answer: C. Jupiter
Solution: Jupiter is the largest planet in our Solar System.
Q34. Writer of India’s national anthem
Answer: B. Rabindranath Tagore
Solution: India’s national anthem, Jana Gana Mana, was written by Rabindranath Tagore.
Q35. Longest river in India
Answer: B. Ganga
Solution: The Ganga is generally regarded as the longest river within India.
Q36. Currency of Japan
Answer: C. Yen
Solution: The official currency of Japan is the Japanese Yen (¥).
Q37. Red Planet
Answer: B. Mars
Solution: Mars appears reddish because of iron-rich materials on its surface. Therefore, it is called the Red Planet.
Q38. National animal of India
Answer: C. Tiger
Solution: The Royal Bengal Tiger is India’s national animal.
Q39. Largest ocean
Answer: C. Pacific Ocean
Solution: The Pacific Ocean is the largest ocean on Earth.
Q40. Players in a cricket team
Answer: C. 11
Solution: A cricket team consists of 11 players.
SECTION E – LOGICAL REASONING
Q41. 2, 4, 8, 16, ___
Answer: D. 32
Solution:
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
Q42. Find the odd one out.
Answer: C. Potato
Solution: Apple, mango and banana are fruits. Potato is a vegetable, so it is the odd one out.
Q43. CAT → DBU, then DOG → ?
Answer: A. EPH
Solution: Each letter is moved one step forward:
D → E
O → P
G → H
Therefore:
DOG → EPH
Q44. 3, 6, 12, 24, ___
Answer: C. 48
Solution: Each number is multiplied by 2:
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
24 × 2 = 48
Q45. 10 m north, then right
Answer: B. North-East
Solution: He first moves north. When he turns right from north, he moves east. Therefore, his final position is north-east of his starting point.
Q46. All roses are flowers.
Answer: C. Roses are flowers.
Solution: The statement directly tells us that all roses are flowers. We cannot conclude that all or some roses are red.
Q47. Odd number
Answer: D. 48
Solution:
16 = 4²
25 = 5²
36 = 6²
But 48 is not a perfect square.
Therefore, 48 is the odd one out.
Q48. MONDAY → NPOEBZ
Answer: A/B. UVFTEBZ
Solution: Each letter is moved one step forward:
T → U
U → V
E → F
S → T
D → E
A → B
Y → Z
Therefore:
TUESDAY → UVFTEBZ
Note: Options A and B in the paper are identical, so either A or B represents the same answer.
Q49. “He is the son of my father’s only son.”
Answer: B. Son
Solution: Ramesh’s father’s only son is Ramesh himself. Therefore, the boy is the son of Ramesh.
Q50. If today is Monday, what day after 17 days?
Answer: C. Thursday
Solution:
17 ÷ 7 leaves remainder 3.
Starting from Monday:
Monday → Tuesday = 1 day
Tuesday → Wednesday = 2 days
Wednesday → Thursday = 3 days
Therefore, after 17 days it will be Thursday.
FINAL ANSWER KEY
| Q. | Ans. | Q. | Ans. |
|---|---|---|---|
| 1 | C | 26 | B |
| 2 | B | 27 | C |
| 3 | C | 28 | D |
| 4 | C | 29 | C |
| 5 | B | 30 | B |
| 6 | A | 31 | B |
| 7 | B | 32 | C |
| 8 | A | 33 | C |
| 9 | C | 34 | B |
| 10 | B | 35 | B |
| 11 | B | 36 | C |
| 12 | C | 37 | B |
| 13 | A | 38 | C |
| 14 | B | 39 | C |
| 15 | C | 40 | C |
| 16 | B | 41 | D |
| 17 | B | 42 | C |
| 18 | C | 43 | A |
| 19 | B | 44 | C |
| 20 | B | 45 | B |
| 21 | C | 46 | C |
| 22 | C | 47 | D |
| 23 | B | 48 | A/B |
| 24 | C | 49 | B |
| 25 | C | 50 | C |