📋 MOCK TEST – SET 4
WBSSC / Competitive Exam Preparation | Total: 50 Questions | Click any option to see the answer & explanation
SECTION A: GENERAL AWARENESS (Q.1 – Q.20)
Q.1. Who is known as the “Father of the Indian Constitution”?
Answer: (2) Dr. B. R. Ambedkar
Dr. Bhimrao Ramji Ambedkar is called the “Father of the Indian Constitution.” He was the Chairman of the Drafting Committee of the Constituent Assembly. The Constitution was adopted on 26 November 1949 and came into force on 26 January 1950. Dr. Rajendra Prasad was the President of the Constituent Assembly.
Dr. Bhimrao Ramji Ambedkar is called the “Father of the Indian Constitution.” He was the Chairman of the Drafting Committee of the Constituent Assembly. The Constitution was adopted on 26 November 1949 and came into force on 26 January 1950. Dr. Rajendra Prasad was the President of the Constituent Assembly.
Q.2. The Indian National Congress was founded in which year?
Answer: (2) 1885
The Indian National Congress (INC) was founded in 1885 by Allan Octavian Hume, a retired British civil servant. The first session was held in Bombay (Mumbai) in December 1885. W. C. Bonnerjee was the first President. It was the main political party that led the Indian independence movement.
The Indian National Congress (INC) was founded in 1885 by Allan Octavian Hume, a retired British civil servant. The first session was held in Bombay (Mumbai) in December 1885. W. C. Bonnerjee was the first President. It was the main political party that led the Indian independence movement.
Q.3. Which Governor-General introduced the Doctrine of Lapse?
Answer: (3) Lord Dalhousie
The Doctrine of Lapse was introduced by Lord Dalhousie (1848–1856). Under this policy, any princely state whose ruler died without a natural male heir would be annexed by the British. States annexed: Satara (1848), Jaitpur, Sambalpur (1849), Nagpur (1853), Jhansi (1854). This was a major cause of the 1857 Revolt.
The Doctrine of Lapse was introduced by Lord Dalhousie (1848–1856). Under this policy, any princely state whose ruler died without a natural male heir would be annexed by the British. States annexed: Satara (1848), Jaitpur, Sambalpur (1849), Nagpur (1853), Jhansi (1854). This was a major cause of the 1857 Revolt.
Q.4. The Battle of Plassey (1757) was fought between:
Answer: (2) British vs. Siraj-ud-Daulah
The Battle of Plassey (1757) was fought between the British East India Company (led by Robert Clive) and Siraj-ud-Daulah, the Nawab of Bengal. The British won due to the treachery of Mir Jafar. This battle laid the foundation of British rule in India. Siraj-ud-Daulah was the last independent Nawab of Bengal.
The Battle of Plassey (1757) was fought between the British East India Company (led by Robert Clive) and Siraj-ud-Daulah, the Nawab of Bengal. The British won due to the treachery of Mir Jafar. This battle laid the foundation of British rule in India. Siraj-ud-Daulah was the last independent Nawab of Bengal.
Q.5. Which movement was launched by Mahatma Gandhi in 1942?
Answer: (3) Quit India Movement
The Quit India Movement (August Movement) was launched by Mahatma Gandhi on 8 August 1942 at the Bombay session of the All India Congress Committee. He gave the slogan “Do or Die”. The movement demanded an immediate end to British rule. Non-Cooperation: 1920–22; Civil Disobedience: 1930; Swadeshi: 1905.
The Quit India Movement (August Movement) was launched by Mahatma Gandhi on 8 August 1942 at the Bombay session of the All India Congress Committee. He gave the slogan “Do or Die”. The movement demanded an immediate end to British rule. Non-Cooperation: 1920–22; Civil Disobedience: 1930; Swadeshi: 1905.
Q.6. The Tropic of Cancer passes through how many Indian states?
Answer: (3) 8
The Tropic of Cancer (23.5°N) passes through 8 Indian states: Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura, and Mizoram. Mnemonic: GR MC JW TM. It also passes through 1 Union Territory — technically it grazes through Gujarat near Diu area.
The Tropic of Cancer (23.5°N) passes through 8 Indian states: Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura, and Mizoram. Mnemonic: GR MC JW TM. It also passes through 1 Union Territory — technically it grazes through Gujarat near Diu area.
Q.7. Which is the longest river entirely within India?
Answer: (2) Godavari
The Godavari is the longest river entirely within India, flowing about 1,465 km from Trimbakeshwar (Maharashtra) to the Bay of Bengal. It is called the “Dakshin Ganga” (Ganga of the South). Note: The Ganga (2,525 km) is longer but flows through Nepal. Godavari is the largest peninsular river.
The Godavari is the longest river entirely within India, flowing about 1,465 km from Trimbakeshwar (Maharashtra) to the Bay of Bengal. It is called the “Dakshin Ganga” (Ganga of the South). Note: The Ganga (2,525 km) is longer but flows through Nepal. Godavari is the largest peninsular river.
Q.8. The Western Ghats are also known as:
Answer: (3) Sahyadri
The Western Ghats are also called Sahyadri. They run parallel to the western coast of India for about 1,600 km. The highest peak is Anamudi (2,695 m) in Kerala. Western Ghats are a UNESCO World Heritage Site and one of the world’s eight “hottest hotspots” of biological diversity.
The Western Ghats are also called Sahyadri. They run parallel to the western coast of India for about 1,600 km. The highest peak is Anamudi (2,695 m) in Kerala. Western Ghats are a UNESCO World Heritage Site and one of the world’s eight “hottest hotspots” of biological diversity.
Q.9. Article 21 of the Indian Constitution guarantees:
Answer: (3) Right to Life and Personal Liberty
Article 21: “No person shall be deprived of his life or personal liberty except according to procedure established by law.” It is the most important Fundamental Right. Key related articles: Article 14 = Equality, Article 19 = Six Freedoms, Article 23-24 = Against Exploitation, Article 25-28 = Religion.
Article 21: “No person shall be deprived of his life or personal liberty except according to procedure established by law.” It is the most important Fundamental Right. Key related articles: Article 14 = Equality, Article 19 = Six Freedoms, Article 23-24 = Against Exploitation, Article 25-28 = Religion.
Q.10. Who was the first Prime Minister of India?
Answer: (1) Jawaharlal Nehru
Pandit Jawaharlal Nehru was India’s first Prime Minister, serving from 15 August 1947 until his death on 27 May 1964 — the longest-serving PM. He delivered the famous “Tryst with Destiny” speech on the eve of Independence. He was also the architect of India’s foreign policy of Non-Alignment.
Pandit Jawaharlal Nehru was India’s first Prime Minister, serving from 15 August 1947 until his death on 27 May 1964 — the longest-serving PM. He delivered the famous “Tryst with Destiny” speech on the eve of Independence. He was also the architect of India’s foreign policy of Non-Alignment.
Q.11. The National Animal of India is:
Answer: (2) Bengal Tiger
The Bengal Tiger (Panthera tigris tigris) is the National Animal of India, adopted in 1973 when Project Tiger was launched. National Bird = Peacock; National Flower = Lotus; National Tree = Banyan; National Aquatic Animal = River Dolphin; National Heritage Animal = Elephant. India has the largest tiger population in the world.
The Bengal Tiger (Panthera tigris tigris) is the National Animal of India, adopted in 1973 when Project Tiger was launched. National Bird = Peacock; National Flower = Lotus; National Tree = Banyan; National Aquatic Animal = River Dolphin; National Heritage Animal = Elephant. India has the largest tiger population in the world.
Q.12. The Right to Education Act (RTE) was enacted in which year?
Answer: (3) 2009
The Right of Children to Free and Compulsory Education Act (RTE Act) was enacted in 2009 and came into force on 1 April 2010. It makes free and compulsory education a Fundamental Right (Article 21-A) for children aged 6–14 years. It was added by the 86th Constitutional Amendment, 2002.
The Right of Children to Free and Compulsory Education Act (RTE Act) was enacted in 2009 and came into force on 1 April 2010. It makes free and compulsory education a Fundamental Right (Article 21-A) for children aged 6–14 years. It was added by the 86th Constitutional Amendment, 2002.
Q.13. The Great Barrier Reef is located in:
Answer: (2) Coral Sea off the coast of Australia
The Great Barrier Reef is the world’s largest coral reef system, located in the Coral Sea off the coast of Queensland, Australia. It is a UNESCO World Heritage Site and the world’s biggest single structure made by living organisms. It spans over 2,300 km and is visible from outer space.
The Great Barrier Reef is the world’s largest coral reef system, located in the Coral Sea off the coast of Queensland, Australia. It is a UNESCO World Heritage Site and the world’s biggest single structure made by living organisms. It spans over 2,300 km and is visible from outer space.
Q.14. Which planet is known as the “Red Planet”?
Answer: (3) Mars
Mars is called the “Red Planet” because its surface is covered with iron oxide (rust), giving it a reddish appearance. It is the 4th planet from the Sun. Mars has two moons: Phobos and Deimos. India’s Mangalyaan (Mars Orbiter Mission) successfully entered Mars orbit in 2014, making ISRO the first Asian agency to do so.
Mars is called the “Red Planet” because its surface is covered with iron oxide (rust), giving it a reddish appearance. It is the 4th planet from the Sun. Mars has two moons: Phobos and Deimos. India’s Mangalyaan (Mars Orbiter Mission) successfully entered Mars orbit in 2014, making ISRO the first Asian agency to do so.
Q.15. The headquarters of the United Nations is located in:
Answer: (3) New York
The United Nations (UN) headquarters is located in New York City, USA. The UN was established on 24 October 1945 (UN Day). It currently has 193 member states. The UN has 6 principal organs including the General Assembly, Security Council, and Secretariat. Current Secretary-General: António Guterres (Portugal).
The United Nations (UN) headquarters is located in New York City, USA. The UN was established on 24 October 1945 (UN Day). It currently has 193 member states. The UN has 6 principal organs including the General Assembly, Security Council, and Secretariat. Current Secretary-General: António Guterres (Portugal).
Q.16. Insulin is secreted by which organ of the body?
Answer: (3) Pancreas
Insulin is a hormone secreted by the Beta cells of the Islets of Langerhans in the Pancreas. It regulates blood glucose levels. Deficiency of insulin causes Diabetes Mellitus. Insulin was discovered by Frederick Banting and Charles Best in 1921. Glucagon (raises blood sugar) is also secreted by the pancreas (Alpha cells).
Insulin is a hormone secreted by the Beta cells of the Islets of Langerhans in the Pancreas. It regulates blood glucose levels. Deficiency of insulin causes Diabetes Mellitus. Insulin was discovered by Frederick Banting and Charles Best in 1921. Glucagon (raises blood sugar) is also secreted by the pancreas (Alpha cells).
Q.17. The first Olympic Games of the modern era were held in:
Answer: (2) Athens, 1896
The first modern Olympic Games were held in Athens, Greece in 1896. They were revived by Pierre de Coubertin. The ancient Olympics were held in Olympia, Greece. The Olympic motto is “Citius, Altius, Fortius” (Faster, Higher, Stronger). The Olympic rings represent 5 continents.
The first modern Olympic Games were held in Athens, Greece in 1896. They were revived by Pierre de Coubertin. The ancient Olympics were held in Olympia, Greece. The Olympic motto is “Citius, Altius, Fortius” (Faster, Higher, Stronger). The Olympic rings represent 5 continents.
Q.18. Computer Virus is a type of:
Answer: (3) Malicious Software (Malware)
A Computer Virus is a type of malware (malicious software) that replicates itself by inserting copies into other programs or files. It can damage/delete data, corrupt files, and slow down the system. Types of malware: Virus, Worm, Trojan Horse, Spyware, Ransomware. Antivirus software is used to detect and remove viruses.
A Computer Virus is a type of malware (malicious software) that replicates itself by inserting copies into other programs or files. It can damage/delete data, corrupt files, and slow down the system. Types of malware: Virus, Worm, Trojan Horse, Spyware, Ransomware. Antivirus software is used to detect and remove viruses.
Q.19. The Panchayati Raj system was first introduced in India in which state?
Answer: (2) Rajasthan
The modern Panchayati Raj system was first introduced in Rajasthan on 2 October 1959 (Gandhi Jayanti), inaugurated by PM Jawaharlal Nehru at Nagaur. It was later introduced in Andhra Pradesh on 11 October 1959. The Balwantrai Mehta Committee (1957) recommended this three-tier system. Constitutionally mandated by the 73rd Amendment, 1992.
The modern Panchayati Raj system was first introduced in Rajasthan on 2 October 1959 (Gandhi Jayanti), inaugurated by PM Jawaharlal Nehru at Nagaur. It was later introduced in Andhra Pradesh on 11 October 1959. The Balwantrai Mehta Committee (1957) recommended this three-tier system. Constitutionally mandated by the 73rd Amendment, 1992.
Q.20. Which gas is responsible for the Greenhouse Effect?
Answer: (3) Carbon Dioxide
Carbon Dioxide (CO₂) is the primary greenhouse gas responsible for the Greenhouse Effect. Other greenhouse gases include Methane (CH₄), Nitrous Oxide (N₂O), and Water Vapor (H₂O). The Greenhouse Effect causes global warming. The Kyoto Protocol (1997) and Paris Agreement (2015) aim to reduce greenhouse gas emissions globally.
Carbon Dioxide (CO₂) is the primary greenhouse gas responsible for the Greenhouse Effect. Other greenhouse gases include Methane (CH₄), Nitrous Oxide (N₂O), and Water Vapor (H₂O). The Greenhouse Effect causes global warming. The Kyoto Protocol (1997) and Paris Agreement (2015) aim to reduce greenhouse gas emissions globally.
SECTION B: GENERAL ENGLISH (Q.21 – Q.30)
Q.21. Choose the correct synonym of ‘DILIGENT’:
Answer: (2) Hardworking
Diligent means showing steady, careful effort and dedication to one’s work. Synonyms: Hardworking, Industrious, Assiduous, Conscientious. Antonyms: Lazy, Negligent, Idle. Example: “The diligent student revised every topic before the exam.” Commonly asked in competitive exams.
Diligent means showing steady, careful effort and dedication to one’s work. Synonyms: Hardworking, Industrious, Assiduous, Conscientious. Antonyms: Lazy, Negligent, Idle. Example: “The diligent student revised every topic before the exam.” Commonly asked in competitive exams.
Q.22. Choose the correct antonym of ‘ANCIENT’:
Answer: (3) Modern
Ancient means belonging to a very early period in history. Its antonym is Modern (relating to the present or recent times). Old and Historic are synonyms. Classical also refers to something traditional/old. Other antonyms: Contemporary, Current, New, Recent.
Ancient means belonging to a very early period in history. Its antonym is Modern (relating to the present or recent times). Old and Historic are synonyms. Classical also refers to something traditional/old. Other antonyms: Contemporary, Current, New, Recent.
Q.23. Identify the correctly spelled word:
Answer: (2) Receive
Correct spelling: Receive. Rule: “I before E except after C” — so it is “rec-E-I-ve” (E before I after C). Similarly: Perceive, Deceive, Conceive follow the same pattern. Common misspelling: “recieve” is WRONG. Other words that follow: Believe (no C before, so I before E), Achieve, Relieve.
Correct spelling: Receive. Rule: “I before E except after C” — so it is “rec-E-I-ve” (E before I after C). Similarly: Perceive, Deceive, Conceive follow the same pattern. Common misspelling: “recieve” is WRONG. Other words that follow: Believe (no C before, so I before E), Achieve, Relieve.
Q.24. Fill in the blank: He is good ________ mathematics.
Answer: (2) at
The correct preposition with “good” for a skill or subject is “at”. Examples: “She is good at singing,” “He is good at mathematics.” Note the difference: “Good for” = beneficial (This fruit is good for health). “Good in” is non-standard. Rule: skill/activity → good AT.
The correct preposition with “good” for a skill or subject is “at”. Examples: “She is good at singing,” “He is good at mathematics.” Note the difference: “Good for” = beneficial (This fruit is good for health). “Good in” is non-standard. Rule: skill/activity → good AT.
Q.25. The plural of ‘Curriculum’ is:
Answer: (3) Curricula
Curriculum → Curricula (Latin origin). Similarly: Datum → Data, Criterion → Criteria, Medium → Media, Bacterium → Bacteria, Phenomenon → Phenomena, Stratum → Strata. These Latin/Greek plurals are frequently tested. “Curriculums” is technically accepted in informal usage but “Curricula” is the standard academic form.
Curriculum → Curricula (Latin origin). Similarly: Datum → Data, Criterion → Criteria, Medium → Media, Bacterium → Bacteria, Phenomenon → Phenomena, Stratum → Strata. These Latin/Greek plurals are frequently tested. “Curriculums” is technically accepted in informal usage but “Curricula” is the standard academic form.
Q.26. Identify the meaning of the idiom: “A blessing in disguise”
Answer: (2) Something that seems bad but is actually good
“A blessing in disguise” means an apparent misfortune that eventually has good results. Example: “Losing that job was a blessing in disguise — I found a much better one.” The key idea is: what appears negative at first actually turns out to be positive or beneficial.
“A blessing in disguise” means an apparent misfortune that eventually has good results. Example: “Losing that job was a blessing in disguise — I found a much better one.” The key idea is: what appears negative at first actually turns out to be positive or beneficial.
Q.27. Choose the grammatically correct sentence:
Answer: (2) Each of the students has submitted his paper.
“Each” always takes a singular verb and singular pronoun. Rule: Each / Every / Either / Neither + singular verb (has/is/was) + singular pronoun (his/her/its). So: “Each of the students has submitted his paper.” In modern neutral usage “their” is accepted, but for competitive exams, singular is preferred.
“Each” always takes a singular verb and singular pronoun. Rule: Each / Every / Either / Neither + singular verb (has/is/was) + singular pronoun (his/her/its). So: “Each of the students has submitted his paper.” In modern neutral usage “their” is accepted, but for competitive exams, singular is preferred.
Q.28. Convert to Passive Voice: “The teacher is explaining the lesson.”
Answer: (2) The lesson is being explained by the teacher.
Tense: Present Continuous Active. Passive Voice rule for Present Continuous: Object + is/am/are + being + V3 + by + Subject. So: “The lesson is being explained by the teacher.” Key: Present Continuous Passive always uses “is/am/are + being + past participle.”
Tense: Present Continuous Active. Passive Voice rule for Present Continuous: Object + is/am/are + being + V3 + by + Subject. So: “The lesson is being explained by the teacher.” Key: Present Continuous Passive always uses “is/am/are + being + past participle.”
Q.29. Choose the word most similar in meaning to ‘OBSOLETE’:
Answer: (3) Outdated
Obsolete means no longer in use or outdated; out of date. Synonyms: Outdated, Archaic, Antiquated, Old-fashioned, Defunct. Antonyms: Current, Modern, New, Contemporary, Updated. Example: “Fax machines have become obsolete in the age of email and digital communication.”
Obsolete means no longer in use or outdated; out of date. Synonyms: Outdated, Archaic, Antiquated, Old-fashioned, Defunct. Antonyms: Current, Modern, New, Contemporary, Updated. Example: “Fax machines have become obsolete in the age of email and digital communication.”
Q.30. Spot the error: “He do not knows(A) / the answer(B) / to this question(C) / at all.(D)”
Answer: (1) A — “do not knows” should be “does not know”
Rule: With 3rd person singular subjects (He/She/It), use “does not” (not “do not”), and the main verb is in base form (no “s”). So: “He does not know the answer.” Common error: Using “do” with He/She/It, or adding “s” to verb after does/does not.
Rule: With 3rd person singular subjects (He/She/It), use “does not” (not “do not”), and the main verb is in base form (no “s”). So: “He does not know the answer.” Common error: Using “do” with He/She/It, or adding “s” to verb after does/does not.
SECTION C: LOGICAL REASONING (Q.31 – Q.40)
Q.31. Find the odd one out: Rose, Lotus, Jasmine, Mango
Answer: (4) Mango
Rose, Lotus, and Jasmine are all flowers. Mango is a fruit — it does not belong to the flower category. Classification reasoning: Three share the same category (flowers/plants known for flowers), while one (Mango) belongs to a different category (fruits/trees).
Rose, Lotus, and Jasmine are all flowers. Mango is a fruit — it does not belong to the flower category. Classification reasoning: Three share the same category (flowers/plants known for flowers), while one (Mango) belongs to a different category (fruits/trees).
Q.32. Complete the number series: 3, 6, 11, 18, 27, ___
Answer: (3) 38
Differences: 6−3=3, 11−6=5, 18−11=7, 27−18=9. The differences are odd numbers: 3, 5, 7, 9… next difference = 11. So next term = 27+11 = 38. Pattern: Each difference increases by 2 (arithmetic progression of differences).
Differences: 6−3=3, 11−6=5, 18−11=7, 27−18=9. The differences are odd numbers: 3, 5, 7, 9… next difference = 11. So next term = 27+11 = 38. Pattern: Each difference increases by 2 (arithmetic progression of differences).
Q.33. If TABLE is coded as GZYOV, what code system is used and what is the code for CHAIR?
Answer: (2) XSZRI
Each letter is replaced by its opposite in alphabet (A↔Z, B↔Y, C↔X, D↔W…): T(7th from end)=G, A↔Z, B↔Y, L↔O, E↔V ✓. So TABLE=GZYOV ✓. CHAIR: C→X, H→S, A→Z, I→R, R→I → XSZRI. Rule: Position from start + Position from end = 27 for each pair.
Each letter is replaced by its opposite in alphabet (A↔Z, B↔Y, C↔X, D↔W…): T(7th from end)=G, A↔Z, B↔Y, L↔O, E↔V ✓. So TABLE=GZYOV ✓. CHAIR: C→X, H→S, A→Z, I→R, R→I → XSZRI. Rule: Position from start + Position from end = 27 for each pair.
Q.34. Complete the series: AZ, BY, CX, DW, ___
Answer: (1) EV
Pattern: First letter goes forward (A, B, C, D, E…) and second letter goes backward (Z, Y, X, W, V…). So next pair = EV. This is a classic “mirror alphabet” series — one ascending, one descending simultaneously.
Pattern: First letter goes forward (A, B, C, D, E…) and second letter goes backward (Z, Y, X, W, V…). So next pair = EV. This is a classic “mirror alphabet” series — one ascending, one descending simultaneously.
Q.35. All dogs are animals. All animals need food. Therefore:
Answer: (1) All dogs need food
Syllogism: Premise 1 — All dogs are animals. Premise 2 — All animals need food. Since ALL dogs are animals, and ALL animals need food, the definite conclusion is: All dogs need food. This is a valid universal conclusion (A+A=A type in syllogism logic). No ambiguity here unlike “some” statements.
Syllogism: Premise 1 — All dogs are animals. Premise 2 — All animals need food. Since ALL dogs are animals, and ALL animals need food, the definite conclusion is: All dogs need food. This is a valid universal conclusion (A+A=A type in syllogism logic). No ambiguity here unlike “some” statements.
Q.36. Pointing to a photograph, a woman says, “His mother is the only daughter of my mother.” How is she related to the person in the photograph?
Answer: (2) Mother
“Only daughter of my mother” = the woman herself. So “His mother” = the woman herself. Therefore the woman is the Mother of the person in the photograph. This is a classic blood relation puzzle. Key clue: “only daughter of my mother” = I (the woman speaking).
“Only daughter of my mother” = the woman herself. So “His mother” = the woman herself. Therefore the woman is the Mother of the person in the photograph. This is a classic blood relation puzzle. Key clue: “only daughter of my mother” = I (the woman speaking).
Q.37. Arrange in logical order: 1.Seed 2.Fruit 3.Plant 4.Flower 5.Sapling
Answer: (1) 1, 5, 3, 4, 2
Logical life cycle of a plant: Seed (1) → Sapling (5, young plant) → Plant (3, mature) → Flower (4) → Fruit (2). This follows the natural botanical sequence of plant growth and reproduction.
Logical life cycle of a plant: Seed (1) → Sapling (5, young plant) → Plant (3, mature) → Flower (4) → Fruit (2). This follows the natural botanical sequence of plant growth and reproduction.
Q.38. If NORTH is written as SOUTH, which direction code is EAST written as?
Answer: (2) WEST
Pattern: Each direction is coded as its opposite direction. NORTH ↔ SOUTH, EAST ↔ WEST. So EAST is coded as WEST. Similarly, SOUTH would be coded as NORTH, and WEST as EAST. This “opposite coding” is a common reasoning pattern in competitive exams.
Pattern: Each direction is coded as its opposite direction. NORTH ↔ SOUTH, EAST ↔ WEST. So EAST is coded as WEST. Similarly, SOUTH would be coded as NORTH, and WEST as EAST. This “opposite coding” is a common reasoning pattern in competitive exams.
Q.39. Doctor is to Hospital as Teacher is to:
Answer: (3) School
Analogy: A Doctor works in a Hospital. Similarly, a Teacher works in a School. The relationship is “Professional → Workplace.” Student is who teacher teaches; Book is what teacher uses; Lesson is what teacher gives — but School is the workplace. Same pattern: Lawyer → Court, Soldier → Army.
Analogy: A Doctor works in a Hospital. Similarly, a Teacher works in a School. The relationship is “Professional → Workplace.” Student is who teacher teaches; Book is what teacher uses; Lesson is what teacher gives — but School is the workplace. Same pattern: Lawyer → Court, Soldier → Army.
Q.40. A clock shows 3:00. What is the angle between the hour and minute hand?
Answer: (3) 90°
At 3:00, the minute hand points to 12 and the hour hand points to 3. The clock face has 12 equal divisions, each = 360°/12 = 30°. From 12 to 3 = 3 divisions × 30° = 90°. Formula: Angle = |30H − 5.5M| where H=hours, M=minutes. |30×3 − 5.5×0| = |90| = 90°.
At 3:00, the minute hand points to 12 and the hour hand points to 3. The clock face has 12 equal divisions, each = 360°/12 = 30°. From 12 to 3 = 3 divisions × 30° = 90°. Formula: Angle = |30H − 5.5M| where H=hours, M=minutes. |30×3 − 5.5×0| = |90| = 90°.
SECTION D: ARITHMETIC (Q.41 – Q.50)
Q.41. What is the HCF of 36 and 48?
Answer: (3) 12
36 = 2²×3², 48 = 2⁴×3. HCF = 2²×3 = 4×3 = 12. Verification: 36÷12=3 ✓, 48÷12=4 ✓. Alternative: Division method — 48÷36=1 rem 12, 36÷12=3 rem 0. So HCF = 12. HCF is also called GCD (Greatest Common Divisor).
36 = 2²×3², 48 = 2⁴×3. HCF = 2²×3 = 4×3 = 12. Verification: 36÷12=3 ✓, 48÷12=4 ✓. Alternative: Division method — 48÷36=1 rem 12, 36÷12=3 rem 0. So HCF = 12. HCF is also called GCD (Greatest Common Divisor).
Q.42. Simplify: 5 + 3 × (12 − 4) ÷ 2
Answer: (3) 17
BODMAS: Brackets first → (12−4) = 8. Then left to right D and M: 3×8 = 24, 24÷2 = 12. Then Addition: 5+12 = 17. Full working: 5 + 3×(12−4)÷2 = 5 + 3×8÷2 = 5 + 24÷2 = 5 + 12 = 17.
BODMAS: Brackets first → (12−4) = 8. Then left to right D and M: 3×8 = 24, 24÷2 = 12. Then Addition: 5+12 = 17. Full working: 5 + 3×(12−4)÷2 = 5 + 3×8÷2 = 5 + 24÷2 = 5 + 12 = 17.
Q.43. A and B together can finish a work in 10 days. A alone can do it in 15 days. In how many days can B alone finish the work?
Answer: (2) 30 days
(A+B)’s 1-day work = 1/10. A’s 1-day work = 1/15. B’s 1-day work = 1/10 − 1/15 = 3/30 − 2/30 = 1/30. So B alone can finish in 30 days. Formula: 1/B = 1/(A+B) − 1/A = 1/10 − 1/15 = 1/30.
(A+B)’s 1-day work = 1/10. A’s 1-day work = 1/15. B’s 1-day work = 1/10 − 1/15 = 3/30 − 2/30 = 1/30. So B alone can finish in 30 days. Formula: 1/B = 1/(A+B) − 1/A = 1/10 − 1/15 = 1/30.
Q.44. A man walks at 5 km/h. How long will he take to cover 17.5 km?
Answer: (3) 3.5 hours
Time = Distance ÷ Speed = 17.5 ÷ 5 = 3.5 hours (3 hours 30 minutes). Basic formula: Time = Distance/Speed. Always check units — distance in km, speed in km/h → time in hours.
Time = Distance ÷ Speed = 17.5 ÷ 5 = 3.5 hours (3 hours 30 minutes). Basic formula: Time = Distance/Speed. Always check units — distance in km, speed in km/h → time in hours.
Q.45. If the ratio of boys to girls in a class is 3:2, and there are 30 boys, how many girls are there?
Answer: (2) 20
Boys:Girls = 3:2. Boys = 30. Value of 1 part = 30÷3 = 10. Girls = 2 parts = 2×10 = 20. Total students = 30+20 = 50. Quick method: Girls = (Girls ratio / Boys ratio) × Boys = (2/3) × 30 = 20.
Boys:Girls = 3:2. Boys = 30. Value of 1 part = 30÷3 = 10. Girls = 2 parts = 2×10 = 20. Total students = 30+20 = 50. Quick method: Girls = (Girls ratio / Boys ratio) × Boys = (2/3) × 30 = 20.
Q.46. The average of first 10 natural numbers is:
Answer: (2) 5.5
First 10 natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Sum = n(n+1)/2 = 10×11/2 = 55. Average = Sum ÷ Count = 55 ÷ 10 = 5.5. Formula: Average of first n natural numbers = (n+1)/2 = (10+1)/2 = 5.5 ✓
First 10 natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Sum = n(n+1)/2 = 10×11/2 = 55. Average = Sum ÷ Count = 55 ÷ 10 = 5.5. Formula: Average of first n natural numbers = (n+1)/2 = (10+1)/2 = 5.5 ✓
Q.47. A price is increased by 20% and then decreased by 20%. What is the net change?
Answer: (3) 4% decrease
Let price = 100. After 20% increase: 100×1.2 = 120. After 20% decrease on 120: 120×0.8 = 96. Net change = 96−100 = −4 → 4% decrease. Formula: Net% change = +a−b−(ab/100) = 20−20−(400/100) = 0−4 = −4%. This is a classic percentage trap question!
Let price = 100. After 20% increase: 100×1.2 = 120. After 20% decrease on 120: 120×0.8 = 96. Net change = 96−100 = −4 → 4% decrease. Formula: Net% change = +a−b−(ab/100) = 20−20−(400/100) = 0−4 = −4%. This is a classic percentage trap question!
Q.48. A shopkeeper gives a 10% discount on ₹500 and still makes 25% profit. What is the cost price?
Answer: (3) ₹360
Marked Price = ₹500. After 10% discount: SP = 500 × 0.9 = ₹450. Profit = 25%, so CP = SP / 1.25 = 450 / 1.25 = ₹360. Verification: Profit = 450−360 = ₹90. Profit% = (90/360)×100 = 25% ✓
Marked Price = ₹500. After 10% discount: SP = 500 × 0.9 = ₹450. Profit = 25%, so CP = SP / 1.25 = 450 / 1.25 = ₹360. Verification: Profit = 450−360 = ₹90. Profit% = (90/360)×100 = 25% ✓
Q.49. Find the Compound Interest on ₹1000 at 10% per annum for 2 years.
Answer: (2) ₹210
CI Formula: A = P(1 + R/100)ⁿ = 1000 × (1.1)² = 1000 × 1.21 = ₹1210. CI = A − P = 1210 − 1000 = ₹210. Note: Simple Interest for same would be = (1000×10×2)/100 = ₹200. CI (₹210) > SI (₹200) — difference = ₹10 (interest on first year’s interest).
CI Formula: A = P(1 + R/100)ⁿ = 1000 × (1.1)² = 1000 × 1.21 = ₹1210. CI = A − P = 1210 − 1000 = ₹210. Note: Simple Interest for same would be = (1000×10×2)/100 = ₹200. CI (₹210) > SI (₹200) — difference = ₹10 (interest on first year’s interest).
Q.50. A number when divided by 6 leaves remainder 4. What will be the remainder when the same number is divided by 3?
Answer: (2) 1
Let number = 6q + 4. When divided by 3: (6q + 4) ÷ 3 = 6q/3 + 4/3 = 2q + 1 remainder 1. Alternatively: Take a specific number, e.g. when 6×1+4=10 ÷ 6 = rem 4 ✓. 10 ÷ 3 = 3 rem 1 ✓. Remainder theorem: Since 6 = 2×3, remainder of (6q+4) ÷ 3 = remainder of 4 ÷ 3 = 1.
Let number = 6q + 4. When divided by 3: (6q + 4) ÷ 3 = 6q/3 + 4/3 = 2q + 1 remainder 1. Alternatively: Take a specific number, e.g. when 6×1+4=10 ÷ 6 = rem 4 ✓. 10 ÷ 3 = 3 rem 1 ✓. Remainder theorem: Since 6 = 2×3, remainder of (6q+4) ÷ 3 = remainder of 4 ÷ 3 = 1.