Mahanagar Entrance Set 1

 Here's your completely new set of 100 multiple-choice questions for the Kathmandu Metropolitan City (KMC) Scholarship Examination.

I have ensured maintaining strict adherence to the Class 10 Secondary Education Examination (SEE) curriculum of Nepal, and meticulously double-checked the accuracy of the answer key. The distribution remains consistent: 30% Mathematics, 30% Science, 30% English, and 10% General Knowledge.

Kathmandu Metropolitan City (KMC) Scholarship Examination

Class 11 & 12 Entrance (Based on Class 10 SEE Curriculum)

Total Questions: 100

Time: [As per KMC official exam guidelines, typically 2 hours]

Instructions:

 * All questions are compulsory.

 * Each question carries equal marks.

 * Choose the best answer from the given options.

 * There is no negative marking for incorrect answers.

Section A: Mathematics (30 Questions)

 * If A = \{x | x \text{ is a prime number less than 10}\} and B = \{x | x \text{ is an even number less than 10}\}, what is A \cap B?

   a) \{2, 3, 5, 7\}

   b) \{2, 4, 6, 8\}

   c) \{2\}

   d) empty set

 * Solve for m: \frac{m}{3} + 2 = 7

   a) 5

   b) 10

   c) 15

   d) 21

 * What is the value of (10^2)^0?

   a) 0

   b) 1

   c) 10

   d) 100

 * A triangle has sides of length 3 cm, 4 cm, and 5 cm. What type of triangle is it?

   a) Equilateral

   b) Isosceles

   c) Right-angled

   d) Obtuse

 * A bag contains 6 red, 4 green, and 2 blue candies. What is the probability of picking a green candy?

   a) 6/12

   b) 4/12

   c) 2/12

   d) 1/12

 * Factorize: x^2 - 5x + 6

   a) (x-2)(x-3)

   b) (x+2)(x+3)

   c) (x-6)(x+1)

   d) (x+6)(x-1)

 * A mobile phone is bought for Rs. 25,000. If the VAT is 13%, what is the total price including VAT?

   a) Rs. 25,000

   b) Rs. 27,500

   c) Rs. 28,250

   d) Rs. 30,000

 * Find the mean of the data: 2, 4, 6, 8, 10

   a) 4

   b) 6

   c) 7

   d) 8

 * What is the slope of a vertical line?

   a) 0

   b) 1

   c) undefined

   d) -1

 * In how many years will Rs. 5000 amount to Rs. 6000 at 5% simple interest per annum?

   a) 2 years

   b) 3 years

   c) 4 years

   d) 5 years

 * What is the value of \cot 45^\circ?

   a) 0

   b) 1

   c) \sqrt{3}

   d) 1/\sqrt{3}

 * The sum of the angles in a triangle is:

   a) 90^\circ

   b) 180^\circ

   c) 270^\circ

   d) 360^\circ

 * The curved surface area of a cylinder is given by the formula:

   a) \pi r^2 h

   b) 2\pi r h

   c) 2\pi r (r+h)

   d) \frac{1}{3}\pi r^2 h

 * What is the HCF of 48 and 72?

   a) 12

   b) 16

   c) 24

   d) 144

 * What is the LCM of 12 and 18?

   a) 6

   b) 36

   c) 72

   d) 216

 * Convert 90 km/hr to m/s.

   a) 15 \text{ m/s}

   b) 20 \text{ m/s}

   c) 25 \text{ m/s}

   d) 30 \text{ m/s}

 * If 5 workers can build a wall in 10 days, how many workers are needed to build the same wall in 2 days?

   a) 10 workers

   b) 20 workers

   c) 25 workers

   d) 50 workers

 * Solve the inequality: 2x + 7 < 15

   a) x < 4

   b) x > 4

   c) x < 11

   d) x > 11

 * Which of the following is a prime number?

   a) 1

   b) 9

   c) 13

   d) 15

 * What is the area of a circle with radius 14 cm? (Use \pi = \frac{22}{7})

   a) 44 \text{ cm}^2

   b) 154 \text{ cm}^2

   c) 308 \text{ cm}^2

   d) 616 \text{ cm}^2

 * If \text{log}_3 9 = x, what is the value of x?

   a) 1

   b) 2

   c) 3

   d) 9

 * The median of 3, 5, 7, 9, 10, 12 is:

   a) 7

   b) 8

   c) 8.5

   d) 9

 * The angles of a linear pair always add up to:

   a) 90^\circ

   b) 180^\circ

   c) 270^\circ

   d) 360^\circ

 * Factorize: 2x^2 + 7x + 3

   a) (2x+1)(x+3)

   b) (2x+3)(x+1)

   c) (2x-1)(x-3)

   d) (2x-3)(x-1)

 * In a class, 40 students like football, 30 like basketball, and 10 like both. How many students like only football?

   a) 10

   b) 20

   c) 30

   d) 40

 * The value of \sin 45^\circ is:

   a) 0

   b) 1

   c) 1/\sqrt{2}

   d) \sqrt{3}/2

 * A point (4, -2) is translated by ( -6, 3). What are the new coordinates?

   a) (-2, 1)

   b) (10, -5)

   c) (2, -1)

   d) (-10, 5)

 * The population of a town increased from 10,000 to 11,000 in one year. What is the percentage increase?

   a) 5%

   b) 10%

   c) 15%

   d) 20%

 * How many faces does a sphere have?

   a) 0

   b) 1

   c) 2

   d) Infinite

 * The perimeter of a rectangle is 20 cm. If its length is 6 cm, what is its width?

   a) 4 cm

   b) 8 cm

   c) 10 cm

   d) 14 cm

Section B: Science (30 Questions)

 * Which of the following is the SI unit of length?

   a) Centimeter

   b) Kilometer

   c) Meter

   d) Millimeter

 * What is the chemical symbol for Nitrogen?

   a) Ni

   b) Na

   c) N

   d) Ne

 * Which layer of the atmosphere protects Earth from harmful UV radiation?

   a) Troposphere

   b) Stratosphere (specifically, the ozone layer within it)

   c) Mesosphere

   d) Thermosphere

 * Which human body system provides structural support and protection to organs?

   a) Muscular system

   b) Nervous system

   c) Skeletal system

   d) Circulatory system

 * Which of the following is a major cause of acid rain?

   a) Methane emissions

   b) Carbon dioxide emissions

   c) Sulfur dioxide and nitrogen oxides emissions

   d) Ozone depletion

 * Which organ is responsible for pumping blood throughout the body?

   a) Lungs

   b) Brain

   c) Heart

   d) Kidneys

 * What is the approximate pH of pure water at room temperature?

   a) 0

   b) 4

   c) 7

   d) 14

 * The phenomenon of changing direction of light as it passes from one medium to another is called:

   a) Reflection

   b) Refraction

   c) Dispersion

   d) Diffraction

 * When a liquid changes into a solid, it is called:

   a) Melting

   b) Evaporation

   c) Freezing

   d) Boiling

 * The instrument used to measure electric current in a circuit is:

   a) Voltmeter

   b) Ammeter

   c) Ohmmeter

   d) Galvanometer

 * Which part of a flower typically develops into a fruit after fertilization?

   a) Petal

   b) Stamen

   c) Ovary

   d) Sepal

 * The energy of an object due to its motion is called:

   a) Potential energy

   b) Kinetic energy

   c) Chemical energy

   d) Thermal energy

 * Which of the following is a symptom of Vitamin D deficiency?

   a) Scurvy

   b) Goiter

   c) Rickets

   d) Night blindness

 * The process by which light energy is converted into chemical energy by plants is:

   a) Respiration

   b) Transpiration

   c) Photosynthesis

   d) Germination

 * What type of energy is stored in fossil fuels?

   a) Kinetic energy

   b) Electrical energy

   c) Chemical energy

   d) Nuclear energy

 * Which part of the human ear vibrates when sound waves enter it?

   a) Cochlea

   b) Auditory nerve

   c) Eardrum

   d) Semicircular canals

 * Which endocrine gland regulates metabolism and energy levels?

   a) Pituitary gland

   b) Adrenal gland

   c) Thyroid gland

   d) Pancreas

 * What is the chemical formula for Carbon Dioxide?

   a) CO

   b) CO_2

   c) C_2O

   d) CH_4

 * Which celestial body is at the center of our solar system?

   a) Earth

   b) Moon

   c) Sun

   d) Jupiter

 * The force that opposes motion between two surfaces in contact is:

   a) Gravitational force

   b) Magnetic force

   c) Frictional force

   d) Electrostatic force

 * What is the chemical process of rusting of iron?

   a) Oxidation

   b) Reduction

   c) Neutralization

   d) Displacement

 * Which human blood component is responsible for blood clotting?

   a) Red blood cells

   b) White blood cells

   c) Platelets

   d) Plasma

 * The process by which plants release water vapor from their leaves is called:

   a) Respiration

   b) Photosynthesis

   c) Transpiration

   d) Absorption

 * Which type of mirror is used in solar furnaces to concentrate sunlight?

   a) Plane mirror

   b) Convex mirror

   c) Concave mirror

   d) Cylindrical mirror

 * What is the common name for Ca(OH)_2?

   a) Baking soda

   b) Washing soda

   c) Slaked lime

   d) Limestone

 * Which of the following is an example of a simple machine that changes the direction of force?

   a) Lever

   b) Inclined plane

   c) Pulley

   d) Wedge

 * The transfer of heat by the actual movement of fluid particles is called:

   a) Conduction

   b) Convection

   c) Radiation

   d) Absorption

 * Which of these is a disease caused by a virus?

   a) Malaria

   b) Cholera

   c) Common cold

   d) Typhoid

 * What is the main component of glass?

   a) Aluminum

   b) Iron

   c) Silica (Silicon Dioxide)

   d) Calcium Carbonate

 * Which part of the human brain controls memory, learning, and voluntary actions?

   a) Cerebellum

   b) Medulla oblongata

   c) Hypothalamus

   d) Cerebrum

Section C: English (30 Questions)

 * Choose the correct option to complete the sentence: They ______ playing football in the park now.

   a) is

   b) am

   c) are

   d) was

 * Identify the correct active voice sentence for: "The bridge was built by the engineers."

   a) The engineers built the bridge.

   b) The engineers are building the bridge.

   c) The engineers had built the bridge.

   d) The engineers will build the bridge.

 * Choose the correct synonym for "arduous".

   a) easy

   b) simple

   c) difficult

   d) quick

 * Choose the correct antonym for "obsolete".

   a) outdated

   b) modern

   c) ancient

   d) traditional

 * Fill in the blank with the appropriate preposition: He is interested ______ reading novels.

   a) in

   b) on

   c) about

   d) for

 * Which of the following is a material noun?

   a) wisdom

   b) courage

   c) wood

   d) committee

 * Identify the verb in the sentence: She runs fast every morning.

   a) she

   b) runs

   c) fast

   d) morning

 * Complete the sentence with the correct article: ______ Sun rises in the East.

   a) A

   b) An

   c) The

   d) No article

 * Choose the correct spelling:

   a) leisure

   b) liesure

   c) liesuir

   d) leasure

 * Which punctuation mark is used to indicate possession?

   a) Hyphen (-)

   b) Apostrophe (')

   c) Semicolon (;)

   d) Colon (:)

 * What is the past participle of the verb "eat"?

   a) ate

   b) eating

   c) eaten

   d) eatable

 * Identify the adjective in the sentence: The small dog barked loudly.

   a) the

   b) dog

   c) small

   d) loudly

 * Choose the grammatically correct sentence:

   a) Neither of the cars are expensive.

   b) Neither of the cars is expensive.

   c) Neither of the car are expensive.

   d) Neither of the car is expensive.

 * Fill in the blank: Mathematics ______ a difficult subject for some students.

   a) are

   b) were

   c) is

   d) have

 * What is the plural of "foot"?

   a) foots

   b) feet

   c) footes

   d) footen

 * Identify the type of sentence: "Go to your room."

   a) Declarative

   b) Interrogative

   c) Imperative

   d) Exclamatory

 * Choose the correct idiom: "To bite the bullet" means:

   a) to physically bite a bullet

   b) to endure a difficult situation

   c) to attack someone

   d) to give up easily

 * Complete the sentence: If I had known, I ______ have come.

   a) would

   b) will

   c) should

   d) can

 * Which of the following words is an adverb?

   a) table

   b) happy

   c) patiently

   d) jump

 * What is the comparative form of "little" (amount)?

   a) littler

   b) less

   c) least

   d) more little

 * Punctuate the sentence correctly: "Its too cold outside" he shivered

   a) "It's too cold outside" he shivered.

   b) "Its too cold outside!" he shivered.

   c) "It's too cold outside!" he shivered.

   d) "It's too cold outside," he shivered.

 * Choose the correct phrasal verb: We need to ______ the problem.

   a) look up to

   b) look into

   c) look over

   d) look after

 * Identify the figure of speech: "The silence was deafening."

   a) Simile

   b) Metaphor

   c) Oxymoron

   d) Hyperbole

 * What is the meaning of "dexterous"?

   a) clumsy

   b) awkward

   c) skillful

   d) slow

 * Choose the correct form of verb: The sun ______ in the west.

   a) set

   b) sets

   c) setting

   d) setted

 * Fill in the blank: She is accustomed ______ hard work.

   a) to

   b) with

   c) for

   d) by

 * Identify the sentence with correct verb tense consistency:

   a) He opened the door and walks in.

   b) He opened the door and walked in.

   c) He opens the door and walked in.

   d) He will open the door and walks in.

 * What is the opposite gender of "gander"?

   a) duck

   b) hen

   c) goose

   d) drake

 * Choose the correct word to complete the sentence: A ______ of lions.

   a) herd

   b) pack

   c) school

   d) pride

 * What is the correct question tag for: "He doesn't like pizza, ______?"

   a) does he

   b) doesn't he

   c) is he

   d) isn't he

Section D: General Knowledge (10 Questions)

 * Which is the highest peak in Nepal?

   a) Kanchenjunga

   b) Lhotse

   c) Mount Everest (Sagarmatha)

   d) Makalu

 * Who is known as "Rashtrakavi" (National Poet) of Nepal?

   a) Bhanubhakta Acharya

   b) Laxmi Prasad Devkota

   c) Madhav Prasad Ghimire

   d) Motiram Bhatta

 * The national anthem of Nepal is called "Sayaun Thunga Phool Ka". Who wrote its lyrics?

   a) Laxmi Prasad Devkota

   b) Pradeep Kumar Rai (Byakul Maila)

   c) Gopal Prasad Rimal

   d) Madhav Prasad Ghimire

 * Which zone in Nepal is famous for Pashupatinath Temple and Swayambhunath Stupa?

   a) Lumbini Zone

   b) Bagmati Zone

   c) Gandaki Zone

   d) Koshi Zone

 * What is the national flower of Nepal?

   a) Rose

   b) Lotus

   c) Rhododendron (Lali Gurans)

   d) Marigold

 * Nepal shares its longest border with which country?

   a) China

   b) Bhutan

   c) Bangladesh

   d) India

 * Which historical personality is known for unifying the various small states to form modern Nepal?

   a) King Gyanendra

   b) Jung Bahadur Rana

   c) Prithvi Narayan Shah

   d) Tribhuvan Bir Bikram Shah Dev

 * Which major festival is celebrated by the Sherpa community in Nepal?

   a) Dashain

   b) Tihar

   c) Lhosar

   d) Holi

 * What is the highest civilian honor in Nepal?

   a) Nepal Ratna

   b) Maha Ujjwal Rastradeep

   c) Suprabal Janasewashree

   d) Gorkha Dakshin Bahu

 * The famous Lumbini, birthplace of Lord Buddha, is located in which province of Nepal?

   a) Bagmati Province

   b) Gandaki Province

   c) Lumbini Province

   d) Koshi Province

Mathematics

 * c

 * c

 * b

 * c

 * b

 * a

 * c

 * a

 * c

 * c

 * b

 * b

 * b

 * c

 * b 

 * c

 * c

 * a

 * c

 * d

 * b

 * b

 * b

 * a

 * c

 * c

 * a

 * b

 * c

 * a

Science

 * c

 * c

 * b

 * c

 * c

 * c

 * c

 * b

 * d

 * b

 * c

 * b

 * c

 * c

 * c

 * d

 * c

 * b

 * c

 * d

 * a

 * b

 * b

 * c

 * c

 * c

 * b

 * c

 * c

 * d

English

 * c

 * a

 * b

 * b

 * a

 * c

 * d

 * c

 * a

 * b

 * c

 * d

 * b

 * b

 * d

 * c

 * b

 * a

 * c

 * b

 * c

 * b

 * c

 * c

 * b

 * a

 * b

 * c

 * d

 * a

General Knowledge

 * c

 * c

 * b

 * b

 * c

 * d

 * b

 * c

 * a

 * c