Mahanagar Entrance set-2

 

Kathmandu Metropolitan City (KMC) Scholarship Examination – Model Set (Fresh)

Class: 11 Entrance (Based on SEE Class 10 Curriculum)
Full Marks: 100
Time: 2 Hours

Instructions:

• All questions are compulsory.

• Each question carries equal marks.

• Choose the best option from the given alternatives.

• No negative marking.

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Section A: Mathematics (30 Questions)

Q1. If A = {1, 2, 3} and B = {2, 4, 6}, then A ∪ B = ?
a) {1, 2, 3}
b) {2, 4, 6}
c) {1, 2, 3, 4, 6}
d) {3, 6}

Q2. Solve: 5x – 7 = 18
a) 3
b) 4
c) 5
d) 7

Q3. What is (2³ × 2⁴) ÷ 2²?
a) 2⁵
b) 2⁴
c) 2³
d) 2⁶

Q4. The diagonal of a rectangle is 10 cm and one side is 6 cm. Find the other side.
a) 4 cm
b) 6 cm
c) 8 cm
d) 12 cm

Q5. If a die is rolled, what is the probability of getting an even number?
a) 1/2
b) 1/3
c) 1/6
d) 2/3

Q6. Factorize: x² – 9
a) (x – 3)(x + 3)
b) (x – 9)(x + 1)
c) (x – 1)(x + 9)
d) Prime polynomial

Q7. A laptop costs Rs. 40,000. VAT is 13%. The total cost is:
a) Rs. 45,000
b) Rs. 45,200
c) Rs. 45,400
d) Rs. 46,000

Q8. Mean of 5, 7, 9, 11, 13 is:
a) 7
b) 8
c) 9
d) 10

Q9. The slope of a horizontal line is:
a) 0
b) 1
c) ∞
d) Undefined

Q10. In how many years will Rs. 2000 become Rs. 2600 at 5% simple interest?
a) 5
b) 6
c) 7
d) 8

Q11. Value of tan 45° is:
a) 0
b) 1
c) √3
d) 1/√3

Q12. Exterior angle of a regular hexagon = ?
a) 30°
b) 45°
c) 60°
d) 120°

Q13. Surface area of a sphere = ?
a) 2πr²
b) 3πr²
c) 4πr²
d) 6πr²

Q14. HCF of 84 and 126 = ?
a) 21
b) 42
c) 84
d) 126

Q15. LCM of 24 and 36 = ?
a) 72
b) 84
c) 96
d) 108

Q16. Convert 72 km/h into m/s.
a) 18 m/s
b) 20 m/s
c) 22 m/s
d) 25 m/s

Q17. If 8 men can finish a work in 12 days, how many men are required to finish it in 6 days?
a) 8
b) 12
c) 16
d) 24

Q18. Solve: 3x – 4 < 11
a) x < 5
b) x > 5
c) x < 15
d) x > 15

Q19. Which of the following is not a prime number?
a) 11
b) 13
c) 15
d) 17

Q20. Area of circle of radius 7 cm (π = 22/7):
a) 154 cm²
b) 308 cm²
c) 44 cm²
d) 77 cm²

Q21. If log₅ 125 = x, then x = ?
a) 2
b) 3
c) 4
d) 5

Q22. Median of 2, 6, 8, 12, 15 is:
a) 6
b) 8
c) 10
d) 12

Q23. Supplementary angles add up to:
a) 90°
b) 120°
c) 180°
d) 360°

Q24. Factorize: x² + 6x + 8
a) (x + 2)(x + 4)
b) (x – 2)(x – 4)
c) (x + 8)(x – 1)
d) Prime polynomial

Q25. In a Venn diagram, if 20 students like cricket, 15 like football, and 5 like both, how many like only cricket?
a) 5
b) 10
c) 15
d) 20

Q26. Value of cos 60° is:
a) 0
b) 1
c) 1/2
d) √3/2

Q27. Point (–3, 5) is reflected about x-axis. The new coordinates are:
a) (–3, –5)
b) (3, –5)
c) (3, 5)
d) (–5, –3)

Q28. A population grows from 2000 to 2400. The percentage increase = ?
a) 10%
b) 15%
c) 20%
d) 25%

Q29. How many edges does a cube have?
a) 6
b) 8
c) 12
d) 24

Q30. A rectangle has perimeter 36 cm. If length = 10 cm, width = ?
a) 6 cm
b) 8 cm
c) 10 cm
d) 16 cm

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Section B: Science (30 Questions)

Q31. SI unit of force is:
a) Joule
b) Newton
c) Watt
d) Pascal

Q32. Symbol of Potassium is:
a) Po
b) P
c) K
d) Pt

Q33. Greenhouse effect is mainly due to:
a) Oxygen
b) Nitrogen
c) Carbon dioxide
d) Argon

Q34. Which human system controls voluntary actions?
a) Circulatory
b) Nervous
c) Respiratory
d) Skeletal

Q35. Main cause of ozone layer depletion is:
a) SO₂
b) CFCs
c) CO₂
d) NO₂

Q36. Main organ of respiration in humans:
a) Heart
b) Kidney
c) Lungs
d) Trachea

Q37. pH of stomach acid ≈ ?
a) 1–2
b) 4–5
c) 7
d) 10

Q38. Bending of light around obstacles is:
a) Reflection
b) Refraction
c) Diffraction
d) Dispersion

Q39. Process of gas changing to liquid is:
a) Evaporation
b) Condensation
c) Freezing
d) Sublimation

Q40. Device measuring potential difference:
a) Ammeter
b) Voltmeter
c) Galvanometer
d) Hygrometer

Q41. After fertilization, ovule develops into:
a) Seed
b) Fruit
c) Cotyledon
d) Root

Q42. Energy stored in stretched spring:
a) Kinetic
b) Potential
c) Nuclear
d) Thermal

Q43. Deficiency of iodine causes:
a) Night blindness
b) Goiter
c) Scurvy
d) Rickets

Q44. Plants lose excess water by:
a) Photosynthesis
b) Transpiration
c) Germination
d) Respiration

Q45. Fuel used in nuclear reactor:
a) Uranium
b) Diesel
c) Coal
d) Methane

Q46. Part of eye sensitive to light:
a) Cornea
b) Lens
c) Retina
d) Iris

Q47. Gland called “master gland”:
a) Pituitary
b) Thyroid
c) Adrenal
d) Pancreas

Q48. Chemical formula of water:
a) H₂
b) H₂O₂
c) H₂O
d) HO

Q49. Largest planet of solar system:
a) Earth
b) Saturn
c) Jupiter
d) Neptune

Q50. Force that pulls objects towards Earth:
a) Magnetic
b) Gravitational
c) Electrostatic
d) Friction

Q51. Rusting of iron is:
a) Oxidation
b) Reduction
c) Neutralization
d) Sublimation

Q52. Which blood cells fight diseases?
a) RBC
b) WBC
c) Platelets
d) Plasma

Q53. Device concentrating sunlight:
a) Plane mirror
b) Concave mirror
c) Convex mirror
d) Prism

Q54. Formula of baking soda:
a) NaCl
b) NaOH
c) NaHCO₃
d) Na₂CO₃

Q55. Heat transfer in solids:
a) Conduction
b) Convection
c) Radiation
d) Refraction

Q56. Disease caused by protozoa:
a) Cholera
b) Malaria
c) Influenza
d) Tuberculosis

Q57. Hardest natural substance:
a) Iron
b) Diamond
c) Quartz
d) Gold

Q58. Blood is pumped to lungs by:
a) Left atrium
b) Left ventricle
c) Right atrium
d) Right ventricle

Q59. Mode of nutrition in green plants:
a) Autotrophic
b) Heterotrophic
c) Saprophytic
d) Parasitic

Q60. Part of brain controlling balance:
a) Cerebrum
b) Cerebellum
c) Medulla
d) Hypothalamus

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Section C: English (30 Questions)

Q61. Choose correct: She ______ going to school now.
a) is
b) am
c) are
d) was

Q62. Active voice of: “The song was sung by Maya.”
a) Maya sings the song.
b) Maya sang the song.
c) Maya is singing the song.
d) Maya will sing the song.

Q63. Synonym of “brave”:
a) cowardly
b) timid
c) courageous
d) weak

Q64. Antonym of “ancient”:
a) modern
b) old
c) antique
d) primitive

Q65. He is good ______ football.
a) on
b) at
c) in
d) with

Q66. Which is a collective noun?
a) honesty
b) crowd
c) rice
d) girl

Q67. Identify the verb: The baby sleeps peacefully.
a) baby
b) sleeps
c) peacefully
d) the

Q68. Correct article: ______ Himalayas are the highest mountains.
a) A
b) An
c) The
d) No article

Q69. Correct spelling:
a) recieve
b) receive
c) receeve
d) recevie

Q70. Which mark shows strong feeling?
a) .
b) ,
c) ?
d) !

Q71. Past participle of “write”:
a) write
b) wrote
c) writing
d) written

Q72. The tall boy ran fast. “Tall” is:
a) noun
b) adjective
c) verb
d) adverb

Q73. Choose correct: Either of the books ______ interesting.
a) are
b) is
c) were
d) have

Q74. Physics ______ an interesting subject.
a) are
b) is
c) were
d) have

Q75. Plural of “tooth”:
a) tooths
b) teeth
c) toothes
d) toothen

Q76. Sentence type: “What is your name?”
a) Declarative
b) Interrogative
c) Imperative
d) Exclamatory

Q77. “To spill the beans” means:
a) waste beans
b) tell a secret
c) buy beans
d) cook beans

Q78. Fill in blank: If I were you, I ______ help him.
a) will
b) would
c) shall
d) can

Q79. Choose the adverb: She answered politely.
a) she
b) answered
c) politely
d) none

Q80. Comparative of “good”:
a) gooder
b) goodest
c) better
d) more good

Q81. Correct punctuation: He said “I am ready”.
a) He said I am ready.
b) He said, “I am ready.”
c) He said, “I am ready”.
d) He said I am ready.

Q82. Choose phrasal verb: Please ______ the lights.
a) put on
b) put out
c) put over
d) put about

Q83. “He is as brave as a lion.” Figure of speech?
a) simile
b) metaphor
c) irony
d) alliteration

Q84. “Rapid” means:
a) slow
b) quick
c) late
d) steady

Q85. Correct: The Earth ______ around the Sun.
a) revolve
b) revolves
c) revolving
d) revolved

Q86. She is fond ______ music.
a) to
b) of
c) with
d) on

Q87. Correct tense: He opened the box and ______ the letter.
a) read
b) reads
c) reading
d) is reading

Q88. Opposite gender of “bride”:
a) woman
b) groom
c) widow
d) bachelor

Q89. A ______ of fish.
a) herd
b) flock
c) school
d) pride

Q90. Correct question tag: She sings well, ______?
a) doesn’t she
b) does she
c) isn’t she
d) didn’t she

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Section D: General Knowledge (10 Questions)

Q91. Nepal’s currency is:
a) Rupee
b) Dollar
c) Yen
d) Pound

Q92. Who wrote Ramayana in Nepali?
a) Motiram Bhatta
b) Bhanubhakta Acharya
c) Devkota
d) Gopal Prasad Rimal

Q93. Current President of Nepal (2082 BS)?
a) Bidya Devi Bhandari
b) Ram Chandra Poudel
c) Sher Bahadur Deuba
d) Khadga Prasad Oli

Q94. Which province is Mount Everest located in?
a) Bagmati
b) Gandaki
c) Koshi
d) Lumbini

Q95. National bird of Nepal:
a) Crow
b) Danphe
c) Eagle
d) Dove

Q96. Nepal’s first woman president was:
a) Sushila Koirala
b) Bidya Devi Bhandari
c) Onsari Gharti
d) Sapana Pradhan

Q97. Who unified modern Nepal?
a) Prithvi Narayan Shah
b) Jung Bahadur Rana
c) King Mahendra
d) King Tribhuvan

Q98. Lumbini is famous as:
a) Lord Buddha’s birthplace
b) Temple of Pashupati
c) Swayambhunath
d) Rani Pokhari

Q99. Highest civilian award of Nepal:
a) Nepal Ratna
b) Gorkha Dakshin Bahu
c) Mahendra Mala
d) Trishakti Patta

Q100. Dashain festival mainly worships goddess:
a) Saraswati
b) Durga
c) Kali
d) Laxmi

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Answer Key

Mathematics (Q1–Q30):
1c, 2c, 3a, 4c, 5a, 6a, 7b, 8c, 9a, 10a, 11b, 12c, 13c, 14b, 15a, 16a, 17c, 18a, 19c, 20a, 21b, 22b, 23c, 24a, 25c, 26c, 27a, 28c, 29c, 30a

Science (Q31–Q60):
31b, 32c, 33c, 34b, 35b, 36c, 37a, 38c, 39b, 40b, 41a, 42b, 43b, 44b, 45a, 46c, 47a, 48c, 49c, 50b, 51a, 52b, 53b, 54c, 55a, 56b, 57b, 58d, 59a, 60b

English (Q61–Q90):
61a, 62b, 63c, 64a, 65b, 66b, 67b, 68c, 69b, 70d, 71d, 72b, 73b, 74b, 75b, 76b, 77b, 78b, 79c, 80c, 81b, 82b, 83a, 84b, 85b, 86b, 87a, 88b, 89c, 90a

General Knowledge (Q91–Q100):
91a, 92b, 93b, 94c, 95b, 96b, 97a, 98a, 99a, 100b