Mahanagar Entrance Set-3

 

Kathmandu Metropolitan City (KMC) Scholarship Examination – Model Question Paper (Fresh Set 3)

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 = {a, b}, then number of subsets = ?
a) 2
b) 3
c) 4
d) 5

Q2. Solve: 2x + 7 = 15
a) 2
b) 3
c) 4
d) 5

Q3. Simplify: (81)½ ÷ (9)½
a) 1
b) 2
c) 3
d) 4

Q4. Diagonal of a square is 10√2 cm. Its area is:
a) 100 cm²
b) 200 cm²
c) 400 cm²
d) 800 cm²

Q5. A card is drawn from 52 cards. Probability of getting red card = ?
a) 1/2
b) 1/3
c) 1/4
d) 1/13

Q6. Factorize: x² – 5x + 6
a) (x – 2)(x – 3)
b) (x + 2)(x – 3)
c) (x – 6)(x + 1)
d) Prime polynomial

Q7. A fan costs Rs. 2500 excluding VAT. If VAT = 13%, selling price = ?
a) 2700
b) 2800
c) 2825
d) 2900

Q8. Median of 2, 4, 6, 8, 10, 12 = ?
a) 5
b) 6
c) 7
d) 8

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

Q10. If Rs. 5000 earns Rs. 600 simple interest at 5% per annum, time = ?
a) 2 yrs
b) 2.4 yrs
c) 3 yrs
d) 4 yrs

Q11. Value of sin 30° = ?
a) 0
b) 1/2
c) √3/2
d) 1

Q12. Interior angle of a regular pentagon = ?
a) 72°
b) 90°
c) 108°
d) 120°

Q13. Volume of a cone = ?
a) (1/2)πr²h
b) (1/3)πr²h
c) πr²h
d) 2πr²h

Q14. HCF of 96 and 120 = ?
a) 12
b) 24
c) 48
d) 60

Q15. LCM of 18 and 24 = ?
a) 36
b) 72
c) 96
d) 108

Q16. Convert 90 km/h into m/s.
a) 20
b) 22.5
c) 24
d) 25

Q17. If 12 men can finish a work in 15 days, how many men in 10 days?
a) 12
b) 15
c) 18
d) 20

Q18. Solve: 5x – 9 < 16
a) x < 5
b) x < 6
c) x > 5
d) x > 6

Q19. Which of the following is prime?
a) 21
b) 29
c) 33
d) 35

Q20. Area of circle with diameter 14 cm (π = 22/7):
a) 77
b) 154
c) 308
d) 616

Q21. If log₂ 16 = x, then x = ?
a) 2
b) 3
c) 4
d) 5

Q22. Mode of 5, 7, 7, 8, 10 = ?
a) 5
b) 7
c) 8
d) 10

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

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

Q25. In a class, 18 like cricket, 12 like football, 6 both. Only football = ?
a) 4
b) 6
c) 8
d) 12

Q26. Value of cos 45° = ?
a) 0
b) 1/2
c) √2/2
d) √3/2

Q27. Point (4, –2) reflected about y-axis:
a) (–4, –2)
b) (–4, 2)
c) (4, 2)
d) (2, –4)

Q28. A population decreases from 5000 to 4500. % decrease = ?
a) 5%
b) 8%
c) 10%
d) 12%

Q29. How many faces does a cube have?
a) 4
b) 6
c) 8
d) 12

Q30. A square has perimeter 36 cm. Its area = ?
a) 81
b) 100
c) 121
d) 144

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Section B: Science (30 Questions)

Q31. SI unit of work = ?
a) Watt
b) Joule
c) Newton
d) Pascal

Q32. Atomic number of Oxygen = ?
a) 6
b) 7
c) 8
d) 9

Q33. Which gas causes acid rain?
a) O₂
b) SO₂
c) CO₂
d) CH₄

Q34. Reflex actions are controlled by:
a) Brain
b) Spinal cord
c) Lungs
d) Heart

Q35. CFCs are used in:
a) Fertilizers
b) Refrigerators
c) Pesticides
d) Fuels

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

Q37. Neutral pH = ?
a) 0
b) 7
c) 10
d) 14

Q38. Splitting of light into colors = ?
a) Reflection
b) Refraction
c) Dispersion
d) Diffraction

Q39. Process of liquid changing into vapor = ?
a) Freezing
b) Evaporation
c) Condensation
d) Sublimation

Q40. Device to measure current:
a) Voltmeter
b) Ammeter
c) Barometer
d) Hygrometer

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

Q42. Energy in moving car:
a) Potential
b) Kinetic
c) Thermal
d) Nuclear

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

Q44. Exchange of gases in plants occurs through:
a) Roots
b) Stomata
c) Stem
d) Flower

Q45. Fuel used in thermal power plant:
a) Coal
b) Uranium
c) Petrol
d) Diesel

Q46. Transparent part of eye:
a) Retina
b) Lens
c) Cornea
d) Iris

Q47. Hormone insulin is secreted by:
a) Pancreas
b) Thyroid
c) Adrenal
d) Pituitary

Q48. Chemical formula of ammonia:
a) NH₃
b) NO₂
c) HNO₃
d) N₂O

Q49. Smallest planet in solar system:
a) Earth
b) Mars
c) Mercury
d) Pluto

Q50. Force opposing motion:
a) Gravitational
b) Friction
c) Electrostatic
d) Magnetic

Q51. Photosynthesis is:
a) Oxidation
b) Reduction
c) Combination
d) Endothermic

Q52. Blood clotting is helped by:
a) RBC
b) WBC
c) Platelets
d) Plasma

Q53. Lens used in magnifying glass:
a) Concave
b) Convex
c) Plane
d) Cylindrical

Q54. Formula of lime water:
a) Ca(OH)₂
b) CaO
c) CaCO₃
d) CaCl₂

Q55. Heat transfer in fluids:
a) Conduction
b) Convection
c) Radiation
d) Reflection

Q56. Disease caused by bacteria:
a) Malaria
b) Cholera
c) Ringworm
d) Influenza

Q57. Good conductor of electricity:
a) Rubber
b) Glass
c) Copper
d) Wood

Q58. Which part of heart pumps blood to body?
a) Right atrium
b) Right ventricle
c) Left atrium
d) Left ventricle

Q59. Fungi are:
a) Autotrophs
b) Saprophytes
c) Parasites
d) Producers

Q60. Largest part of human brain:
a) Cerebrum
b) Cerebellum
c) Medulla
d) Hypothalamus

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Section C: English (30 Questions)

Q61. Choose correct: They ______ playing football.
a) is
b) are
c) am
d) was

Q62. Passive voice: “He eats an apple.”
a) An apple is eaten by him.
b) An apple was eaten by him.
c) An apple has been eaten by him.
d) An apple will be eaten by him.

Q63. Synonym of “happy”:
a) sad
b) glad
c) angry
d) weak

Q64. Antonym of “strong”:
a) weak
b) powerful
c) brave
d) fast

Q65. He is afraid ______ snakes.
a) on
b) in
c) of
d) at

Q66. Which is an abstract noun?
a) child
b) table
c) honesty
d) book

Q67. Identify the adjective: She wore a red dress.
a) she
b) wore
c) red
d) dress

Q68. Correct article: I saw ______ elephant.
a) a
b) an
c) the
d) no article

Q69. Correct spelling:
a) seperate
b) separate
c) separete
d) seprate

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

Q71. Past participle of “eat”:
a) eat
b) ate
c) eaten
d) eating

Q72. She speaks softly. “Softly” is:
a) adjective
b) noun
c) adverb
d) verb

Q73. Neither of the boys ______ absent.
a) are
b) is
c) were
d) have

Q74. Economics ______ my favorite subject.
a) are
b) is
c) were
d) have

Q75. Plural of “child”:
a) childs
b) childes
c) children
d) childen

Q76. Sentence type: “Please help me.”
a) Declarative
b) Imperative
c) Interrogative
d) Exclamatory

Q77. “Break the ice” means:
a) start conversation
b) crack ice
c) stop talking
d) freeze water

Q78. Fill: If it rains, I ______ stay home.
a) will
b) would
c) shall
d) can

Q79. Choose adverb: He ran quickly.
a) he
b) ran
c) quickly
d) none

Q80. Superlative of “bad”:
a) worse
b) baddest
c) worst
d) more bad

Q81. Correct punctuation: Did you say “Come here”?
a) Did you say Come here?
b) Did you say, “Come here”?
c) Did you say “Come here”.
d) Did you say, Come here?

Q82. Choose phrasal verb: Please ______ the form.
a) fill out
b) fill over
c) fill in
d) fill up

Q83. “The world is a stage.” Figure of speech?
a) simile
b) metaphor
c) irony
d) personification

Q84. “Gigantic” means:
a) small
b) huge
c) thin
d) weak

Q85. Correct: The stars ______ shining.
a) is
b) are
c) was
d) has

Q86. She is interested ______ music.
a) in
b) on
c) at
d) of

Q87. Correct tense: He was reading when I ______ him.
a) see
b) saw
c) seeing
d) sees

Q88. Opposite gender of “nephew”:
a) niece
b) aunt
c) daughter
d) sister

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

Q90. Correct question tag: They are friends, ______?
a) aren’t they
b) are they
c) isn’t they
d) don’t they

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Section D: General Knowledge (10 Questions)

Q91. Nepal’s capital is:
a) Pokhara
b) Kathmandu
c) Biratnagar
d) Lalitpur

Q92. Father of modern Nepali literature:
a) Devkota
b) Motiram Bhatta
c) Bhanubhakta
d) Lekhnath

Q93. Current Prime Minister of Nepal (2082 BS)?
a) Sher Bahadur Deuba
b) KP Oli
c) Pushpa Kamal Dahal
d) Ram Chandra Poudel

Q94. Which province is Phewa Lake in?
a) Koshi
b) Bagmati
c) Gandaki
d) Lumbini

Q95. National flower of Nepal:
a) Rose
b) Rhododendron
c) Sunflower
d) Jasmine

Q96. Nepal’s first woman speaker of parliament:
a) Onsari Gharti
b) Sushila Koirala
c) Sapana Pradhan
d) Bidhya Bhandari

Q97. Who introduced Rana rule in Nepal?
a) Jung Bahadur Rana
b) Dev Shumsher
c) Chandra Shumsher
d) Bhimsen Thapa

Q98. Swayambhunath is also called:
a) White Gumba
b) Monkey Temple
c) Golden Temple
d) Peace Stupa

Q99. Nepal’s constitution promulgated in:
a) 2013 BS
b) 2019 BS
c) 2047 BS
d) 2072 BS

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

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Answer Key

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

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

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

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