PSTET 1 ENGLISH MATHEMATICS QUESTION PAPER 2026 ANSWER KEY DOWNLOAD HERE

PSTET Paper I - Language II: English (Part 2) Answer Key


Question No. Correct Option Question No. Correct Option
61(A)91(D)
62(C)92(D)
63(C)93(D)
64(D)94(C)
65(B)95(A)
66(C)96(A)
67(B)97(C)
68(B)98(A)
69(A)99(A)
70(D) ( jobsoftoday)100(C)
71(B)101(D)
72(A)102(B)
73(C)103(C)
74(B)104(B)
75(C)105(B)
76(D)106(B)
77(A)107(A)
78(B)108(B)
79(C)109(B)
80(B)110(C)
81(C)111(B)
82(C)112(B)
83(B)113(C)
84(C)114(D)
85(B)115(A)
86(C)116(D)
87(C)117(C)
88(C)118(D)
89(D)119(C)
90(D)120(B)

61. A learner says "He eated food" but later corrects it to "He ate food" after self-reflection. This shows the learner is in the:
(A) Post-systematic stage
(B) Systematic stage
(C) Pre-systematic stage
(D) Fossilized stage

Correct Answer: (A)
Brief Description: In the post-systematic stage, the learner has mastered the system and can self-correct when they notice a lapse in their own speech.




62. Children acquire their first language mainly through :
(A) Grammar drills
(B) Explicit correction
(C) Meaningful interaction
(D) Translation exercises

Correct Answer: (C)
Brief Description: First language acquisition occurs naturally when children interact with their environment and caregivers to convey meaning.


63. A teacher notices repeated spelling errors in students' written work. The most appropriate remedial strategy would be to:
(A) Increase dictation tests
(B) Scold students for carelessness
(C) Diagnose specific spelling patterns and re-teach them
(D) Ignore the errors

Correct Answer: (C)


64. While listening to a conversation, a learner guesses the meaning using situation and tone. This is an example of:
(A) Bottom-up processing
(B) Mechanical decoding
(C) Rote learning
(D) Top-down processing

Correct Answer: (D)
Brief Description: Top-down processing involves using prior knowledge, context, and overall situation to understand specific linguistic input.


65. Sound contrasts help learners mainly in improving:
(A) Reading speed
(B) Pronunciation and listening skills
(C) Writing skills
(D) Grammar accuracy

Correct Answer: (B)


66. A student wants to quickly understand the main idea of a newspaper article. Which reading strategy should be used?
(A) Scanning
(B) Intensive reading
(C) Skimming
(D) Loud reading

Correct Answer: (C)
Brief Description: Skimming is a fast reading technique used to get the "gist" or general overview of a text.


67. The process approach to writing emphasises :
(A) The final product only
(B) The steps involved in writing
(C) Memorisation of model essays
(D) Error-free writing in the first draft

Correct Answer: (B)
Brief Description: This approach focuses on writing as a series of stages, including brainstorming, drafting, revising, and editing.


68. For teaching vocabulary in English, the MOST effective Teaching Learning Material is:
(A) Dictation notebook
(B) Word cards / flashcards
(C) Examination papers
(D) Grammar book

Correct Answer: (B)


69. ________ is taught along with the graded course reader but not as a separate subject.
(A) Functional Grammar
(B) Traditional Grammar
(C) Prescriptive Grammar
(D) Formal Grammar

Correct Answer: (A)
Brief Description: Functional grammar focuses on how language is used in context, making it ideal to teach alongside reading materials.


70. Which of the following is not involved in the mechanics of the skill of reading?
(A) Pause
(B) Eyes Span
(C) Fixation
(D) Pronunciation

Correct Answer: (D)
Brief Description: Mechanics of reading usually refer to the physical aspects of the eyes moving across text (fixation, span, pauses); pronunciation is an oral production skill.


71. Students are asked to learn sentence patterns through repeated use in meaningful situations. Which principle is applied?
(A) Cognitive learning
(B) Habit formation through practice
(C) Deductive grammar teaching
(D) Silent reading

Correct Answer: (B)


72. A teacher chooses commonly used sentence patterns instead of rare ones. This shows selection based on:
(A) Frequency
(B) Difficulty
(C) Literary richness
(D) Examination trend

Correct Answer: (A)


73. Which method of grammar stimulates the power of thinking, reasoning, assimilation and initiation among the learners?
(A) Deductive Method
(B) Formal Method
(C) Inductive Method
(D) Situational Method

Correct Answer: (C)
Brief Description: The Inductive Method encourages learners to observe examples and figure out rules themselves, promoting active reasoning.


74. A teacher introduces new language items through conversation and dialogue. This follows the principle of:
(A) Silent reading
(B) Oral work
(C) Translation
(D) Writing practice

Correct Answer: (B)


75. Which of the following is a productive language skill ?
(A) Listening
(B) Reading
(C) Speaking
(D) Skimming

Correct Answer: (C)
Brief Description: Productive skills involve producing language (Speaking and Writing), whereas Receptive skills involve receiving it (Listening and Reading).


Reading Comprehension - Passage 1 (76-83)

Passage 1: Read the passage carefully and answer the questions (76-83).

We worry a lot about smog, water and noise pollution, but seldom think of light pollution : One of the fastest environmental alterations caused by humans. Orbiting satellites show our planet swash in its own light, which drowns incident light from space. Light literally spills out of everything manmade-from industry-to public and residential buildings and roads. Astronomers first noticed it in the 1980s, when the telescope atop Mt. Wilson in San Diego was shut down due to this 'sky-glow' or 'light trespass' from the town. It was reducing their ability to observe the night sky. Because of artificial light, songbirds serenade a false dawn, and others migrate prematurely. The moon is a directional reference for birds. On moonless nights, confused migrating flocks have been known to fly into tall illuminated buildings - sometimes killing thousands of them. Nocturnal birds and mammals like bats, badgers, and otters are often discouraged from using their feeding grounds if they are artificially lit. and newly-hatched turtles that aim for the glow of the horizon above the sea find themselves blindly heading inland, instead, to their deaths. Many photosensitive plants, too, are affected by light pollution, mistiming their blooms, or failing to flower at all. Look around and see how many street lamps - some of them aglow even at midday – toss light energy skywards, instead of down onto the ground. If you are old enough to remember how the sky looked, say, 30 years ago, you'll probably remember seeing our own galaxy, The Milky Way. But not anymore. Of the dozen constellations of the zodiac, five are now invisible in most light-polluted skies, while the other seven have many of their stars missing'. If only we realized that better lighting leads to lesser energy needs-ergo, less pollution from unnecessary power stations. Bit by bit, we are losing a direct connection with the universe. For the light from stars takes millions of years to reach us- only to be lost when it touches Earth. To combat light pollution, individuals and communities can install shielded fixtures, use motion sensors, and opt for warm-coloured bulbs to minimize glare and light trespass. 

76. Identify the part of speech of the word "seldom" in the sentence: "We worry a lot about smog, water and noise pollution, but seldom think of light pollution."
(A) Noun
(B) Verb
(C) Adjective
(D) Adverb

Correct Answer: (D)


77. Which word is the closest synonym of "discouraged" in the sentence : "Nocturnal birds and mammals... are often discouraged from using their feeding grounds..."
(A) Prevented
(B) Welcomed
(C) Forced
(D) Guided

Correct Answer: (A)


78. Choose the antonym of "nocturnal" :
(A) Wild
(B) Diurnal
(C) Dark
(D) Quiet

Correct Answer: (B)
Brief Description: Nocturnal animals are active at night; Diurnal animals are active during the day.


79. What is light pollution mainly caused by?
(A) Natural atmospheric changes
(B) Reflection from the moon
(C) Excessive artificial lighting from human activities
(D) Solar radiation

Correct Answer: (C)


80. How does artificial light affect migrating birds?
(A) It improves their navigation
(B) It confuses their sense of direction
(C) It makes migration faster
(D) It has no effect

Correct Answer: (B)


81. Which of the following is suggested to reduce light pollution ?
(A) Using brighter white bulbs
(B) Keeping lights on all night
(C) Installing shielded fixtures and motion sensors
(D) Increasing street lighting

Correct Answer: (C)


82. In the phrase, "bit by bit, we are losing a direct connection with the universe", the word 'connection' refers to...
(A) our ability to physically travel into space
(B) the scientific study of galaxies and planets
(C) the natural experience of viewing the night sky and stars
(D) the development of advanced space technology

Correct Answer: (C)


83. What does the phrase "light literally spills out of everything manmade" highlight?
(A) That artificial light is carefully directed only where needed
(B) That human-made structures produce excessive light that spreads uncontrollably
(C) That natural light is stronger than artificial light
(D) That manmade objects absorb all the light around them

Correct Answer: (B)


Reading Comprehension - Passage 2 (84-90)

Passage 2: Read the passage carefully and answer the questions (84-90):

The musical accomplishments of composer Ludwig van Beethoven have been all the more remarkable for the fact that he lost his hearing ability from an early age. He developed the symptoms of tinnitus, a constant sound of ringing in his ears that made it difficult for him to hear. He is compared to Mozart for his genius, and is considered the most eminent musician after Mozart. Although his formal education never went beyond the elementary level, he trained in music under Joseph Haydn. He has always been acclaimed as a brilliant piano maestro. His father and grandfather were the court musicians of a German prince. Young Ludwig was often made to perform for his father's drinking companions in the middle of the night, and was even beaten if he protested. For the first thirty years of his life, Beethoven could listen to and play effortlessly. As a result, he understood sounds of musical instruments and the pitch of the singing voices. He knew the harmony between music and singing before he became completely deaf. His deafness was not sudden, but a gradual decline. This slow process of losing his hearing activated his mind to imagine how his compositions would sound like. When he became completely deaf, he started to observe the vibrations of the piano. The observations helped him realise that he could not hear the high notes of the piano. To be able to hear his own compositions, he sawed off the legs of his piano. The piano touched the floor, and Beethoven would press his ear to the floor, banging the piano keys to listen to the high notes in his composition. The most significant aspect of Beethoven's character was that he did not give up. With a brave heart, he confronted the greatest challenge a musician can face, and continued living his dream of composing music. Deafness could not deter him from achieving the pinnacle of musical success. He fought against the greatest obstacle and won. His quality of 'never giving up' strengthened him. It made him come to terms with his deafness in a dynamic and constructive way. These qualities led him to become a famous composer.

84. Why did Beethoven saw off the legs of his piano?
(A) To move it easily
(B) To improve sound quality
(C) To feel vibrations through the floor
(D) To repair the instrument

Correct Answer: (C)


85. Choose the correct synonym of "eminent" as used in the passage:
(A) Ordinary
(B) Famous
(C) Weak
(D) Unknown

Correct Answer: (B)


86. The central idea of the passage is that:
(A) Education is necessary for success
(B) Talent is inherited
(C) Physical disability cannot defeat determination
(D) Musicians suffer greatly

Correct Answer: (C)


87. The phrase "pinnacle of musical success" means:
(A) Beginning of success
(B) Sudden fame
(C) Highest level of achievement
(D) Temporary recognition

Correct Answer: (C)


88. Which action best shows Beethoven's determination to continue composing?
(A) Comparing himself with Mozart
(B) Observing singers carefully
(C) Pressing his ear to the floor to feel vibrations
(D) Performing at the court

Correct Answer: (C)


89. Identify the part of speech of the word "brilliant" in the sentence "He has always been acclaimed as a brilliant piano maestro".
(A) Noun
(B) Verb
(C) Adverb
(D) Adjective

Correct Answer: (D)


90. What effect did gradual deafness have on Beethoven's mind?
(A) It confused him
(B) It weakened his creativity
(C) It stopped his performances
(D) It activated his imagination

Correct Answer: (D)

PSTET Paper I - Mathematics (Part-2) Answer Key


91. Match List - 1 with List – II and indicate your answer with the help of codes given below :

List - I List - II
p. Evaluation carried out at the developmental stage of a learning activity 1. Journal writing
q. To reflect on one's teaching in the classroom 2. Formative evaluation
r. A clear performance target for students 3. Diagnostic evaluation
s. To identify the nature and degree of learning difficulties in the students 4. Rubrics

ਸੂਚੀ -1 ਨੂੰ ਸੂਚੀ -II ਨਾਲ ਮਿਲਾਓ ਅਤੇ ਹੇਠਾਂ ਦਿੱਤੇ ਕੋਡਾਂ ਦੀ ਮਦਦ ਨਾਲ ਆਪਣਾ ਉੱਤਰ ਦਰਸਾਓ :

ਸੂਚੀ - 1 ਸੂਚੀ - II
p. ਸਿੱਖਣ ਵਾਲੀ ਗਤੀਵਿਧੀ ਦੇ ਵਿਕਾਸਾਤਮਕ ਪੜਾਅ 'ਤੇ ਕੀਤਾ ਗਿਆ ਮੁਲਾਂਕਣ 1. ਜਰਨਲ ਲਿਖਣਾ
q. ਕਲਾਸਰੂਮ ਵਿੱਚ ਆਪਣੇ ਅਧਿਆਪਨ 'ਤੇ ਵਿਚਾਰ ਕਰਨਾ 2. ਰਚਨਾਤਮਕ ਮੁਲਾਂਕਣ
r. ਵਿਦਿਆਰਥੀਆਂ ਲਈ ਇੱਕ ਸਪਸ਼ਟ ਪ੍ਰਦਰਸ਼ਨ ਟੀਚਾ 3. ਨਿਰਣਾਇਕ ਮੁਲਾਂਕਣ
s. ਵਿਦਿਆਰਥੀਆਂ ਵਿੱਚ ਸਿੱਖਣ ਦੀਆਂ ਮੁਸ਼ਕਲਾਂ ਦੀ ਪ੍ਰਕਿਰਤੀ ਅਤੇ ਦਰਜੇ ਦੀ ਪਛਾਣ ਕਰਨਾ 4. ਰੂਬ੍ਰਿਕਸ

Codes:
(A) p-2, q-1, r-3, s-4
(B) p-3, q-1, r-4, s-2
(C) p-1, q-4, r-2, s-3
(D) p-2, q-4, r-3, s-1

Correct Answer: (D)


92. Which of the following is/are incorrect?
(a) The mathematics classroom is not a place where pupils learn to tolerate and appreciate differences in people.
(b) A teacher is an unquestioned authority in the class.
(c) Problem posing is not a critical step in learning mathematics.
(d) All students are not capable to learn and do mathematics.

ਹੇਠਾਂ ਦਿੱਤਿਆਂ ਵਿੱਚੋਂ ਕਿਹੜਾ/ਕਿਹੜੇ ਗਲਤ ਹਨ ?
(a) ਗਣਿਤ ਕਲਾਸਰੂਮ ਉਹ ਜਗ੍ਹਾ ਨਹੀਂ ਹੈ ਜਿੱਥੇ ਵਿਦਿਆਰਥੀ ਲੋਕਾਂ ਵਿੱਚ ਫਰਕਾਂ ਨੂੰ ਸਹਿਣ ਅਤੇ ਸਨਮਾਨ ਕਰਨਾ ਸਿੱਖਦੇ ਹਨ।”
(b) ਇੱਕ ਅਧਿਆਪਕ ਕਲਾਸ ਵਿੱਚ ਨਿਰਵਿਵਾਦ ਅਧਿਕਾਰੀ ਹੁੰਦਾ ਹੈ ।
(c) ਸਮੱਸਿਆ ਪੇਸ਼ ਕਰਨਾ ਗਣਿਤ ਸਿੱਖਣ ਵਿੱਚ ਇੱਕ ਅਲੋਚਨਾਤਮਕ ਕਦਮ ਨਹੀਂ ਹੈ ।
(d) ਸਾਰੇ ਵਿਦਿਆਰਥੀ ਗਣਿਤ ਸਿੱਖਣ ਅਤੇ ਕਰਨ ਦੇ ਯੋਗ ਨਹੀਂ ਹੁੰਦੇ ।

(A) (c) and (d)
(B) (a), (b), and (c)
(C) (a), (c), and (d)
(D) (a), (b), (c), and (d)

Correct Answer: (D)


93. Match List - 1 with List - II and indicate your answer with the help of codes given below :

p. List-1 Zone of proximal development 1. List - II Jerome Bruner
q. Understanding children's thinking and reasoning patterns 2. Maria Montessori
r. Discovery Learning 3. Vygotsky
s. Learning mathematics through concrete materials 4. Jean Piaget

ਸੂਚੀ -1 ਨੂੰ ਸੂਚੀ -11 ਨਾਲ ਮਿਲਾਓ ਅਤੇ ਹੇਠਾਂ ਦਿੱਤੇ ਕੋਡਾਂ ਦੀ ਮਦਦ ਨਾਲ ਆਪਣਾ ਜਵਾਬ ਦਰਸਾਓ :

Codes:
(A) p-1, q-2, r-4, s-3
(B) p-4, q-2, r-3, s-1
(C) p-4, q-3, r-2, s-1
(D) p-3, q-4, r-1, s-2

Correct Answer: (D)


94. Drill activity in a mathematics classroom is :
(A) a kind of differentiated instruction
(B) similar to scaffolding
(C) reinforcing previously learned concepts
(D) considered as a punishment

ਗਣਿਤ ਕਲਾਸਰੂਮ ਵਿੱਚ ਡਰਿੱਲ ਗਤੀਵਿਧੀ ਹੈ:
(A) ਇੱਕ ਕਿਸਮ ਦੀ ਨਿਖੇੜੀ ਹੋਈ ਸਿੱਖਿਆ
(B) ਸਕੈਫੋਲਡਿੰਗ ਦੇ ਬਰਾਬਰ
(C) ਪਹਿਲਾਂ ਸਿੱਖੇ ਗਏ ਸੰਕਲਪਾਂ ਨੂੰ ਮਜ਼ਬੂਤ ਕਰਨ ਵਾਲੀ
(D) ਸਜ਼ਾ ਵਜੋਂ ਮੰਨੀ ਜਾਂਦੀ ਹੈ

Correct Answer: (C)


95. HCF of (2³ × 3² × 5), (2² × 3³ × 5²) and (2⁴ × 3 × 5³ × 7)
(A) 60
(B) 120
(C) 30
(D) 90

(2³ × 3² × 5), (2² × 3³ × 5²) ਅਤੇ (2⁴ × 3 × 5³ × 7) ਦਾ ਮਹੱਤਮ ਸਮਾਪਵਰਤਕ :

Correct Answer: (A)


96. At primary stage, to enable the child to understand the connections between the logical functioning of their everyday lives to that of mathematical thinking mathematics, curriculums aims to include activities like:
(A) Games and Puzzles
(B) Mechanical drills
(C) Memorization of formulas
(D) Memorizations of tables

ਪ੍ਰਾਇਮਰੀ ਪੜਾਅ 'ਤੇ, ਬੱਚੇ ਨੂੰ ਉਹਨਾਂ ਦੀ ਰੋਜ਼ਾਨਾ ਜ਼ਿੰਦਗੀ ਦੇ ਤਰਕਸੰਗਤ ਕਾਰਜਾਂ ਅਤੇ ਗਣਿਤਕ ਸੋਚ ਦੇ ਸੰਬੰਧ ਨੂੰ ਸਮਝਣ ਯੋਗ ਬਣਾਉਣ ਲਈ, ਗਣਿਤ ਦੇ ਅਧਿਆਪਨ ਵਿੱਚ ਇਹਨਾਂ ਗਤੀਵਿਧੀਆਂ ਨੂੰ ਸ਼ਾਮਿਲ ਕਰਨ ਦਾ ਲਕਸ਼ ਹੈ :
(A) ਖੇਡਾਂ ਅਤੇ ਪਜ਼ਲ
(B) ਯੰਤਰਿਕ ਸਿਖਲਾਈ
(C) ਸੂਤਰਾਂ ਨੂੰ ਯਾਦ ਕਰਨਾ
(D) ਪਹਾੜਿਆਂ ਨੂੰ ਯਾਦ ਕਰਨਾ

Correct Answer: (A)


97. A bottle of milk is poured equally into 8 glasses, leaving 120 ml of milk in the bottle. If each glass has a capacity of 360 ml, how much milk was there in the bottle initially?
(A) 4 l
(B) 1 l 320 ml
(C) 3 l
(D) 13 l 20 ml

ਦੁੱਧ ਦੀ ਇੱਕ ਬੋਤਲ ਨੂੰ 8 ਗਿਲਾਸਾਂ ਵਿੱਚ ਬਰਾਬਰ ਵੰਡਿਆ ਗਿਆ, ਅਤੇ ਬੋਤਲ ਵਿੱਚ 120 ਮਿਲੀਲੀਟਰ ਦੁੱਧ ਬਚ ਗਿਆ । ਜੇ ਹਰ ਗਿਲਾਸ ਦੀ ਸਮਰੱਥਾ 360 ਮਿਲੀਲੀਟਰ ਹੈ, ਤਾਂ ਸ਼ੁਰੂ ਵਿੱਚ ਬੋਤਲ ਵਿੱਚ ਕਿੰਨਾ ਦੁੱਧ ਸੀ ?
(A) 4 ਲੀਟਰ
(B) 1 ਲੀਟਰ 320 ਮਿਲੀਲੀਟਰ
(C) 3 ਲੀਟਰ
(D) 13 ਲੀਟਰ 20 ਮਿਲੀਲੀਟਰ

Correct Answer: (C)


98. Write down the number of boxes needed to pack 2 Tonne Kaju-katli in the boxes that can contain 250 g Kaju-katli each.
(A) 8000
(B) 800
(C) 200 kg
(D) 4000

2 ਟਨ ਕਾਜੂ ਕਤਲੀ ਨੂੰ ਉਹਨਾਂ ਡੱਬਿਆਂ ਵਿੱਚ ਪੈਕ ਕਰਨ ਲਈ ਕਿੰਨੇ ਡੱਬਿਆਂ ਦੀ ਲੋੜ ਹੋਵੇਗੀ, ਜਿਨ੍ਹਾਂ ਵਿੱਚੋਂ ਹਰ ਇੱਕ ਵਿੱਚ 250 ਗ੍ਰਾਮ ਕਾਜੂ ਕਤਲੀ ਆ ਸਕਦੀ ਹੈ ?
(A) 8000
(B) 800
(C) 200 ਕਿਲੋਗ੍ਰਾਮ
(D) 4000

Correct Answer: (A)


99. Match List I with List II and indicate your answer with the help of codes given below :

List - I List - II
p. All my angles are right angles, but all my sides are not equal. 1. Rhombus
q. I am a quadrilateral with one pair of sides that are parallel. 2. Rectangle
r. I am a quadrilateral whose diagonals bisect each other and whose angles are oblique. 3. Parallelogram
s. I am a quadrilateral whose diagonals bisect each other at right angles and whose angles are oblique. 4. Trapezium

ਸੂਚੀ -1 ਨੂੰ ਸੂਚੀ II ਨਾਲ ਮਿਲਾਓ ਅਤੇ ਹੇਠਾਂ ਦਿੱਤੇ ਕੋਡਾਂ ਦੀ ਮਦਦ ਨਾਲ ਆਪਣਾ ਉੱਤਰ ਦਰਸਾਓ :

Codes:
(A) p-2, q-4, r-3, s-1
(B) p-2, q-4, r-1, s-3
(C) p-4, q-2, r-3, s-1
(D) p-2, q-1, r-3, s-4

Correct Answer: (A)


100. Match List - I with List – II and indicate your answer with the help of codes given below :

List-1 List - II
p. I have 1 flat face, 1 curved face, and 1 edge 1. Cylinder
q. I have 6 faces, 12 edges, and 8 corners 2. Cone
r. I have 5 faces, 6 corners, and 9 edges, and 2 of my faces are triangles 3. Cuboid
s. I have 2 flat faces, 1 curved face, and 2 edges. I have no corners 4. Prism

ਸੂਚੀ-1 ਨੂੰ ਸੂਚੀ-11 ਨਾਲ ਮਿਲਾਓ ਅਤੇ ਹੇਠਾਂ ਦਿੱਤੇ ਕੋਡਾਂ ਦੀ ਮਦਦ ਨਾਲ ਆਪਣਾ ਉੱਤਰ ਦਰਸਾਓ :

Codes:
(A) p-4, q-3, r-2, s-1
(B) p-1, q-4, r-5, s-2
(C) p-2, q-3, r-4, s-1
(D) p-2, q-3, r-4, s-M

Correct Answer: (C)


101. Mukesh has glued 27 small cubes together to make a large solid cube. He paints the large cube red. How many of the original small cubes have no faces painted red ?
(A) 8
(B) 12
(C) 6
(D) 1

ਮੁਕੇਸ਼ ਨੇ 27 ਛੋਟੇ ਘਣਾਂ ਨੂੰ ਜੋੜ ਕੇ ਇੱਕ ਵੱਡਾ ਠੇਸ ਘਣ ਬਣਾਇਆ । ਉਸ ਨੇ ਵੱਡੇ ਘਣ ਨੂੰ ਲਾਲ ਰੰਗਿਆ । ਮੁੱਢਲੇ ਛੋਟੇ ਘਣਾਂ ਵਿੱਚੋਂ ਕਿੰਨੇ ਘਣਾਂ ਦੇ ਕੋਈ ਚਿਹਰੇ ਲਾਲ ਨਹੀਂ ਰੰਗੇ ਗਏ ?
(A) 8
(B) 12
(C) 6
(D) 1

Correct Answer: (D)


102. How many triangles are there in the figure given below ?
(A) 10
(B) 5
(C) 4
(D) 1

ਹੇਠਾਂ ਦਿੱਤੇ ਚਿੱਤਰ ਵਿੱਚ ਕੁੱਲ ਕਿੰਨੇ ਤਿਕੋਣ ਹਨ ?
(A) 10
(B) 5
(C) 4
(D) 1

Correct Answer: (B)


103. During conversion of a solid from one shape to another, the volume of the new shape will
(A) increase
(B) decrease
(C) remain unaltered
(D) be doubled

ਇੱਕ ਠੋਸ ਨੂੰ ਇੱਕ ਆਕਾਰ ਤੋਂ ਦੂਜੇ ਆਕਾਰ ਵਿੱਚ ਬਦਲਦੇ ਸਮੇਂ, ਨਵੇਂ ਆਕਾਰ ਦਾ ਆਯਤਨ :
(A) ਵੱਧ ਜਾਵੇਗਾ
(B) ਘੱਟ ਜਾਵੇਗਾ
(C) ਜਿਉਂ ਦਾ ਤਿਉਂ ਰਹੇਗਾ
(D) ਦੋਗੁਣਾ ਹੋ ਜਾਵੇਗਾ

Correct Answer: (C)


104. A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that 1/8 space is 140 covered by the mortar. Then the number of bricks used to construct the wall is
(A) 11100
(B) 11200
(C) 11000
(D) 11300

ਇੱਕ ਮਿਸਤਰੀ 22.5 cm × 11.25 cm × 8.75 cm ਮਾਪ ਵਾਲੀਆਂ ਇੱਟਾਂ ਨਾਲ 270 cm × 300 cm × 350 cm ਮਾਪ ਵਾਲੀ ਇੱਕ ਕੰਧ ਬਣਾਉਂਦਾ ਹੈ ਅਤੇ ਇਹ ਮੰਨਿਆ ਜਾਂਦਾ ਹੈ ਕਿ 1/8 ਜਗ੍ਹਾ 140 ਹੈ ਜੋ ਮਸਾਲੇ ਨਾਲ ਢੱਕੀ ਹੋਈ ਹੈ । ਫਿਰ ਕੰਧ ਬਣਾਉਣ ਲਈ ਵਰਤੀਆਂ ਗਈਆਂ ਇੱਟਾਂ ਦੀ ਗਿਣਤੀ ਹੈ :
(A) 11100
(B) 11200
(C) 11000
(D) 11300

Correct Answer: (B)


105. Which measure of central tendency is least affected by extreme values.?
(A) Mean
(B) Median
(C) Mode
(D) Standard Deviation

ਕੇਂਦਰੀ ਪ੍ਰਵਿਰਤੀ ਦਾ ਕਿਹੜਾ ਮਾਪ ਅਤਿਅੰਤ ਮੁੱਲਾਂ ਦੁਆਰਾ ਸਭ ਤੋਂ ਘੱਟ ਪ੍ਰਭਾਵਿਤ ਹੁੰਦਾ ਹੈ ?
(A) ਔਸਤ
(B) ਮੱਧਮਾਨ
(C) ਬਹੁਲਕ
(D) ਮਿਆਰੀ ਵਿਕ੍ਰਮ

Correct Answer: (B)


106. Aarohi studies for 5⅔ hours daily. She devotes 2⅘ hours of her time for Science and Mathematics. How much time does she devote for other subjects?
(A) 2 6/5 h
(B) 2 13/15 h
(C) 3 13/15 h
(D) 5 21/5 h

ਆਰੋਹੀ ਹਰ ਰੋਜ਼ 5⅔ ਘੰਟੇ ਪੜ੍ਹਦੀ ਹੈ । ਉਹ ਇਸ ਸਮੇਂ ਵਿੱਚੋਂ 2⅘ ਘੰਟੇ ਵਿਗਿਆਨ ਅਤੇ ਗਣਿਤ ਲਈ ਸਮਰਪਿਤ ਕਰਦੀ ਹੈ । ਬਾਕੀ ਵਿਸ਼ਿਆਂ ਲਈ ਉਹ ਕਿੰਨਾ ਸਮਾਂ ਦਿੰਦੀ ਹੈ ?
(A) 2 6/5 ਘੰਟੇ
(B) 2 13/15 ਘੰਟੇ
(C) 3 13/15 ਘੰਟੇ
(D) 5 21/5 ਘੰਟੇ

Correct Answer: (B)


107. Simplify / ਸਰਲ ਕਰੋ : (12⁴ × 9³ × 4) / (6³ × 8² × 27)
(A) 162
(B) 181
(C) 127
(D) 81

Correct Answer: (A)


108. The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm. Find the perimeter of the rectangle.
(A) 89
(B) 178
(C) 189
(D) 91

ਇੱਕ ਵਰਗ ਅਤੇ ਇੱਕ ਆਇਤ ਦਾ ਖੇਤਰਫਲ ਬਰਾਬਰ ਹੈ । ਜੇ ਵਰਗ ਦਾ ਪਾਸਾ 40 ਸੈਂਟੀਮੀਟਰ ਹੈ ਅਤੇ ਆਇਤ ਦੀ ਚੌੜਾਈ 25 ਸੈਂਟੀਮੀਟਰ ਹੈ, ਤਾਂ ਆਇਤ ਦਾ ਪਰਿਮਾਪ ਕਿੰਨਾ ਹੈ ?
(A) 89
(B) 178
(C) 189
(D) 91

Correct Answer: (B)


109. Which of the following formulas is not correct?
I. Area of a Trapezium = 1/2 × Height (Sum of Parallel Sides)
II. Area of a Parallelogram = Base × Height
III. Area of a Rhombus = Product of Diagonals
IV. Volume of a hemisphere = 2/3πr², where r is the radius of the hemisphere

ਹੇਠਾਂ ਦਿੱਤਿਆਂ ਵਿੱਚੋਂ ਕਿਹੜਾ ਫਾਰਮੂਲਾ ਸਹੀ ਨਹੀਂ ਹੈ ?
I. ਸਮਲੰਬ ਚਤਰਭੁਜ ਦਾ ਖੇਤਰਫਲ = 1/2 × ਉਚਾਈ × (ਸਮਾਨਾਂਤਰ ਭੁਜਾਵਾਂ ਦਾ ਜੋੜ)
II. ਸਮਾਨਾਂਤਰ ਚਤਰਭੁਜ ਦਾ ਖੇਤਰਫਲ = ਅਧਾਰ × ਉਚਾਈ
III. ਸਮਚਤਰਭੁਜ ਦਾ ਖੇਤਰਫਲ = ਵਿਕਰਣਾਂ ਦਾ ਗੁਣਨਫਲ
IV. ਅਰਧਗੋਲੇ ਦਾ ਆਯਤਨ = 2/3πr², ਜਿੱਥੇ r ਅਰਧਗੋਲੇ ਦਾ ਅਰਧ ਵਿਆਸ ਹੈ

Choose the correct answers from the options given below:
(A) I and II
(B) III and IV
(C) I, II, and III
(D) I, II, III, and IV

Correct Answer: (B)


110. Which of the following is most appropriate for π ?
(A) a rational number
(B) is equal to 22/7
(C) an irrational number
(D) a terminating decimal

ਇਹਨਾਂ ਵਿੱਚੋਂ ਕਿਹੜਾ π ਲਈ ਸਭ ਤੋਂ ਢੁਕਵਾਂ ਹੈ ?
(A) ਇੱਕ ਪਰਿਮੇਯ ਸੰਖਿਆ
(B) 22/7 ਦੇ ਬਰਾਬਰ ਹੈ
(C) ਇੱਕ ਅਪਰਿਮੇਯ ਸੰਖਿਆ
(D) ਇੱਕ ਸਮਾਪਤੀ ਦਸ਼ਮਲਵ

Correct Answer: (C)


111. Which of the following is/are not false ?
(a) Every integer is a rational number.
(b) The sum of rational number and an irrational number is irrational number.
(c) Every real number is rational.
(d) If a and b are integers then a ÷ b is an integer.

ਹੇਠਾਂ ਦਿੱਤਿਆਂ ਵਿੱਚੋਂ ਕਿਹੜਾ/ਕਿਹੜੇ ਗਲਤ ਨਹੀਂ ਹਨ ?
(a) ਹਰ ਇੱਕ ਪੂਰਨ ਅੰਕ ਇੱਕ ਤਰਕਸੰਗਤ ਸੰਖਿਆ ਹੈ ।
(b) ਇੱਕ ਤਰਕਸੰਗਤ ਸੰਖਿਆ ਅਤੇ ਇੱਕ ਅਤਰਕਸੰਗਤ ਸੰਖਿਆ ਦਾ ਜੋੜ ਇੱਕ ਅਤਰਕਸੰਗਤ ਸੰਖਿਆ ਹੁੰਦਾ ਹੈ ।
(c) ਹਰ ਇੱਕ ਵਾਸਤਵਿਕ ਸੰਖਿਆ ਤਰਕਸੰਗਤ ਹੈ ।
(d) ਜੇ a ਅਤੇ b ਪੂਰਨ ਅੰਕ ਹਨ ਤਾਂ a ÷ b ਇੱਕ ਪੂਰਨ ਅੰਕ ਹੈ ।

(A) (a) and (d)
(B) (a) and (b)
(C) (a), (b), and (d)
(D) (a), (b), (c), and (d)

Correct Answer: (B)


112. A father and son can together knit a cardigan in 16 days. If the son alone can knit it in 18 days, the father alone can knit it in
(A) 48 days
(B) 144 days
(C) 164 days
(D) 24 days

ਇੱਕ ਪਿਤਾ ਅਤੇ ਪੁੱਤਰ ਇਕੱਠੇ 16 ਦਿਨਾਂ ਵਿੱਚ ਇੱਕ ਕੋਟੀ ਬੁਣ ਸਕਦੇ ਹਨ । ਜੇਕਰ ਇਕੱਲਾ ਪੁੱਤਰ ਇਸਨੂੰ 18 ਦਿਨਾਂ ਵਿੱਚ ਬੁਣ ਸਕਦਾ ਹੈ, ਤਾਂ ਪਿਤਾ ਇਕੱਲਾ ਇਸਨੂੰ ਕਿੰਨੇ ਦਿਨਾਂ ਵਿੱਚ ਬੁਣੇਗਾ ?
(A) 48 ਦਿਨ
(B) 144 ਦਿਨ
(C) 164 ਦਿਨ
(D) 24 ਦਿਨ

Correct Answer: (B)


113. Find the mean of the following distribution.

Class / ਕਲਾਸ: 0-20 20-40 40-60 60-80 80-100
Frequency / ਬਾਰੰਬਾਰਤਾ: 7 11 10 9 13

ਹੇਠਾਂ ਦਿੱਤੀ ਵੰਡ ਦੀ ਔਸਤ ਲੱਭੋ ।
(A) 50
(B) 10
(C) 54
(D) 108

Correct Answer: (C)


114. A tank can be filled by two taps A and B in 8 hours and 6 hours respectively. The full tank can be emptied by a third tap C in 4 hours. If all the taps are turned on at the same time, in how much time will the empty tank be filled up completely?
(A) 24 hours and 13 minutes
(B) 24 hours and 21 minutes
(C) 12 hours
(D) 24 hours

ਇੱਕ ਟੈਂਕ ਨੂੰ ਦੋ ਨਲ A ਅਤੇ B ਨਾਲ ਕ੍ਰਮਵਾਰ 8 ਘੰਟੇ ਅਤੇ 6 ਘੰਟੇ ਵਿੱਚ ਭਰਿਆ ਜਾ ਸਕਦਾ ਹੈ । ਤੀਜੇ ਨਲ C ਨਾਲ ਪੂਰਾ ਟੈਂਕ 4 ਘੰਟੇ ਵਿੱਚ ਖਾਲੀ ਕੀਤਾ ਜਾ ਸਕਦਾ ਹੈ । ਜੇ ਸਾਰੇ ਨਲ ਇੱਕੋ ਸਮੇਂ ਖੋਲ੍ਹੇ ਜਾਣ, ਤਾਂ ਖਾਲੀ ਟੈਂਕ ਨੂੰ ਪੂਰੀ ਤਰ੍ਹਾਂ ਭਰਨ ਵਿੱਚ ਕਿੰਨਾ ਸਮਾਂ ਲੱਗੇਗਾ ?
(A) 24 ਘੰਟੇ ਤੇ 13 ਮਿੰਟ
(B) 24 ਘੰਟੇ ਤੇ 21 ਮਿੰਟ
(C) 12 ਘੰਟੇ
(D) 24 ਘੰਟੇ

Correct Answer: (D)


115. The value of the Golden Ratio (φ) is approximately:
(A) 1.618
(B) 1.732
(C) 1.414
(D) 1.50

ਸੁਨਹਿਰੀ ਅਨੁਪਾਤ (φ) ਦਾ ਮੁੱਲ ਲਗਭਗ ਹੈ :
(A) 1.618
(B) 1.732
(C) 1.414
(D) 1.50

Correct Answer: (A)


116. Which of the following is/are false ?
(a) Each angle of an isosceles triangle is of 60°.
(b) Of the any two chords of a circle smaller will be near to the centre.
(c) Equal chords of congruent circles subtend equal angles at the centre.
(d) Sides opposite to equal angles of a triangle are equal.

ਹੇਠਾਂ ਦਿੱਤਿਆਂ ਵਿੱਚੋਂ ਕਿਹੜਾ/ਕਿਹੜੇ ਗਲਤ ਹਨ ?
(a) ਇੱਕ ਸਮਦੁਭੁਜ ਤਿਕੋਣ ਦਾ ਹਰ ਕੋਣ 60° ਦਾ ਹੁੰਦਾ ਹੈ ।
(b) ਚੱਕਰ ਦੇ ਕਿਸੇ ਵੀ ਦੋ ਕੌਰਡਾਂ ਵਿੱਚੋਂ ਛੋਟੀ ਕੌਰਡ ਚੱਕਰ ਦੇ ਕੇਂਦਰ ਦੇ ਨੇੜੇ ਹੋਵੇਗੀ ।
(c) ਸਮਰੂਪ ਚੱਕਰਾਂ ਦੀਆਂ ਬਰਾਬਰ ਕੌਰਡਾਂ ਕੇਂਦਰ 'ਤੇ ਬਰਾਬਰ ਕੋਣ ਬਣਾਉਂਦੀਆਂ ਹਨ ।
(d) ਤਿਕੋਣ ਦੇ ਬਰਾਬਰ ਕੋਣਾਂ ਦੇ ਸਾਹਮਣੇ ਵਾਲੀਆਂ ਭੁਜਾਵਾਂ ਬਰਾਬਰ ਹੁੰਦੀਆਂ ਹਨ ।

(A) (a) and (c)
(B) (b) and (d)
(C) (b) and (c)
(D) (a) and (b)

Correct Answer: (D)


117. Error Analysis in mathematics teaching is a/an
(A) Procedural tool
(B) Teaching strategy
(C) Diagnostic tool
(D) Evaluative technique

ਗਣਿਤ ਦੀ ਸਿੱਖਿਆ ਵਿੱਚ ਗ਼ਲਤੀ ਵਿਸ਼ਲੇਸ਼ਣ ਇੱਕ ਹੈ :
(A) ਪ੍ਰਕਿਰਿਆਤਮਕ ਸੰਦ
(B) ਅਧਿਆਪਨ ਨੀਤੀ
(C) ਨਿਰਣਾਇਕ ਸੰਦ
(D) ਮੁਲਾਂਕਣ ਤਕਨੀਕ

Correct Answer: (C)


118. The oldest source of knowledge for Indian Mathematics is
(A) Yuktibhasha
(B) Lilavati
(C) Chandaḥśāstra
(D) Sulba Sutras

ਭਾਰਤੀ ਗਣਿਤ ਲਈ ਗਿਆਨ ਦਾ ਸਭ ਤੋਂ ਪੁਰਾਣਾ ਸਰੋਤ ਹੈ :
(A) ਯੁਕਤੀਭਾਸ਼ਾ
(B) ਲੀਲਾਵਤੀ
(C) ਚੰਦ ਸ਼ਾਸਤਰ
(D) ਸੁਲਬ ਸੂਤਰ

Correct Answer: (D)


119. "Mathematics can be summarized as the art and science of discovering patterns and explaining them", has been stated by:
(A) National Curriculum Framework for School Education - 2023
(B) National Education Policy - 2020
(C) National Curriculum Framework - 2005
(D) The National Policy on Education (1992)

“ਗਣਿਤ ਨੂੰ ਪੈਟਰਨਾਂ ਦੀ ਖੋਜ ਕਰਨ ਅਤੇ ਉਨ੍ਹਾਂ ਨੂੰ ਸਮਝਾਉਣ ਦੀ ਕਲਾ ਅਤੇ ਵਿਗਿਆਨ ਦੇ ਤੌਰ ਤੇ ਸਾਰਾਂਸ਼ਿਤ ਕੀਤਾ ਜਾ ਸਕਦਾ ਹੈ", ਇਹ ਕਿਸ ਨੇ ਕਿਹਾ ਹੈ :
(A) ਸਕੂਲ ਸਿੱਖਿਆ ਲਈ ਰਾਸ਼ਟਰੀ ਪਾਠਕ੍ਰਮ ਢਾਂਚਾ - 2023
(B) ਰਾਸ਼ਟਰੀ ਸਿੱਖਿਆ ਨੀਤੀ - 2020
(C) ਰਾਸ਼ਟਰੀ ਪਾਠਕ੍ਰਮ ਢਾਂਚਾ - 2005
(D) ਰਾਸ਼ਟਰੀ ਸਿੱਖਿਆ ਨੀਤੀ (1992)

Correct Answer: (C)


120. How to Solve It. a book that teaches problem-solving in mathematics through a simple four-step method is written by:
(A) Manjul Bhargava
(B) George Pólya
(C) Alan Schoenfeld
(D) John Dewey

"ਹਾਉ ਟੂ ਸਾਲਵ ਇਟ", ਇੱਕ ਕਿਤਾਬ ਜੋ ਗਣਿਤ ਵਿੱਚ ਸਮੱਸਿਆ-ਹੱਲ ਕਰਨ ਦੀ ਸਿੱਖਿਆ ਇੱਕ ਸਾਧਾਰਨ ਚਾਰ-ਕਦਮੀ ਵਿਧੀ ਰਾਹੀਂ ਦਿੰਦੀ ਹੈ, ਇਹ ਕਿਸ ਨੇ ਲਿਖੀ ਹੈ :
(A) ਮੰਜੂਲ ਭਾਰਗਵ
(B) ਜਾਰਜ ਪੋਲਿਆ
(C) ਐਲਨ ਸ਼ੋਨਫ਼ੈਲਡ
(D) ਜੌਨ ਡਿਊਈ

Correct Answer: (B)

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