Islamic Studies / Civics & Ethics (20 Marks)
Q1: Sahifa Sadiqa is considered the earliest known written collection of Hadith, compiled by which revered companion?
(a) Hazrat Abu Hurairah (b) Hazrat Abdullah bin Amr bin Al-Aas ✓ (c) Hazrat Zaid bin Sabit (d) Hazrat Ali bin Abi Talib
Q2: In Islamic Jurisprudence (Fiqh), what does the legal principle of “Istihsan” (Juristic Preference) primarily signify?
(a) Analogy based on explicit legal causes (b) Consensus of Islamic scholars (c) Setting aside a strict legal precedent in favor of equity or public interest ✓ (d) Independent reasoning of a jurist
Q3: Which specific Ghazwa is extensively discussed and analyzed in Surah Al-Imran?
(a) Ghazwa-e-Badr (b) Ghazwa-e-Uhud ✓ (c) Ghazwa-e-Khandaq (d) Ghazwa-e-Tabuk
Q4: What was the primary objective of the Treaty of Hudaybiyyah from a strategic geopolitical standpoint?
(a) Immediate military expansion (b) Securing a 10-year peace truce and diplomatic recognition of the Muslim state ✓ (c) Enforcing Zakat collection in Mecca (d) Opening trade routes to Yemen
Q5: Who was appointed as the commander of the Muslim army during the Battle of Mu’tah after Hazrat Zaid bin Haritha was martyred?
(a) Hazrat Khalid bin Walid (b) Hazrat Jafar bin Abi Talib ✓ (c) Hazrat Abdullah bin Rawahah (d) Hazrat Abu Ubaidah bin al-Jarrah
Q6: Which Caliph established the official public treasury known as “Bait-ul-Mal” on a permanent institutional basis?
(a) Hazrat Abu Bakr Siddique (b) Hazrat Umar Farooq ✓ (c) Hazrat Usman Ghani (d) Hazrat Ali Murtaza
Q7: What is the technical definition of “Mubah” in Islamic Shariah?
(a) An act that is legally mandatory (b) An act that is strictly forbidden (c) A permitted act where doing or leaving it incurs neither reward nor punishment ✓ (d) A highly recommended act
Q8: Which prominent Sahabi earned the title “Asadullah” (The Lion of Allah)?
(a) Hazrat Hamza bin Abdul-Muttalib ✓ (b) Hazrat Ali bin Abi Talib (c) Hazrat Khalid bin Walid (d) Hazrat Umar bin Khattab
Q9: The famous event of “Bai’at-e-Rizwan” took place under which tree before which major treaty?
(a) Treaty of Madinah (b) Treaty of Hudaybiyyah ✓ (c) Conquest of Mecca (d) Battle of Khaybar
Q10: In Quranic terminology, what does “Muhkamat” refer to?
(a) Verses with allegorical and metaphorical meanings (b) Verses with clear, decisive, and unambiguous legal injunctions ✓ (c) Abrogated verses (d) Historical narratives of past nations
Q11: Which Islamic month marks the migration (Hijrah) of the Holy Prophet (PBUH) from Mecca to Madinah?
(a) Ramazan (b) Rajab (c) Muharram ✓ (d) Rabi-ul-Awwal
Q12: Who was the first female martyr (Shaheeda) in Islam?
(a) Hazrat Sumayyah bint Khayyat ✓ (b) Hazrat Fatimah bint-e-Asad (c) Hazrat Asma bint Abi Bakr (d) Hazrat Umm-e-Ammar
Q13: What was the primary purpose of introducing the “Jizya” tax on non-Muslim subjects (Zimmis) in an Islamic state?
(a) Punishment for not converting (b) Exemption from military service and provision of state security and protection ✓ (c) Funding foreign military campaigns (d) Regulating commercial imports
Q14: Which battle is referred to in the Holy Quran as “Yawm al-Furqan” (The Day of Criterion)?
(a) Battle of Uhud (b) Battle of Badr ✓ (c) Battle of Khandaq (d) Battle of Tabuk
Q15: What is the literal meaning of the Islamic term “Ijma”?
(a) Individual reasoning (b) Consensus or agreement of Islamic scholars on a legal point ✓ (c) Analogical deduction (d) Public interest
Q16: Which Ummayad Caliph is known for commissioning the construction of the Dome of the Rock in Jerusalem?
(a) Muawiyah I (b) Abdul Malik bin Marwan ✓ (c) Waleed bin Abdul Malik (d) Umar bin Abdul Aziz
Q17: In the context of Islamic inheritance laws (Ilm-ul-Faraid), what fraction of the estate does a single daughter receive if there is no son?
(a) One-fourth (b) One-half ✓ (c) One-third (d) Two-thirds
Q18: Which Surah of the Holy Quran is known as “Umm-ul-Quran” (The Mother of the Quran)?
(a) Surah Al-Baqarah (b) Surah Yaseen (c) Surah Al-Fatiha ✓ (d) Surah Al-Ikhlas
Q19: What was the duration of the Khilafat-e-Rashida (Rightly Guided Caliphate)?
(a) Exactly 25 years (b) Nearly 29 years (approx. 30 lunar years) ✓ (c) 40 years (d) 100 years
Q20: Which Sahabi compiled the final standardized text of the Holy Quran during the caliphate of Hazrat Usman (R.A)?
(a) Hazrat Ubayy bin Ka’b (b) Hazrat Zaid bin Sabit ✓ (c) Hazrat Abdullah bin Masud (d) Hazrat Ali bin Abi Talib
Urdu (20 Marks)
*(Grammar Usage, Vocabulary & Translation Nuances)*
Q21: “زبان بند ہونا” محاورے کا درست مفہوم کیا ہے؟
(a) بولنے سے معذور ہونا (b) لاجواب ہو جانا یا خاموش ہو رہنا ✓ (c) غصہ کرنا (d) بیمار ہونا
Q22: اردو لغت میں لفظ “آب” کے کیا معنی ہیں؟
(a) آگ (b) پانی، چمک یا عزت ✓ (c) ہوا (d) مٹی
Q23: درج ذیل میں سے اسم مکرر (Repetitive Noun) کی شناخت کریں:
(a) دھڑا دھڑ ✓ (b) کتابیں (c) احمد (d) خوبصورت
Q24: شعر میں قافیہ کسے کہتے ہیں؟
(a) ردیف کے بعد آنے والے الفاظ (b) ہم آواز اور ہم وزن الفاظ جو ردیف سے پہلے آتے ہیں ✓ (c) شعر کا آخری مصرع (d) شعر کا وزن
Q25: “آسمان سر پر اٹھانا” کا درست مطلب کیا ہے؟
(a) بہت شور مچانا یا غل غپاڑہ کرنا ✓ (b) آسمان کو چھونا (c) غرور کرنا (d) آسمان پر دیکھنا
Q26: لفظ “تکلف” کی جمع کیا ہے؟
(a) تكالف ✓ (b) تکلفات (c) مکلف (d) تکلفی
Q27: اردو گرامر کی رو سے “قلم” کیا ہے؟
(a) اسم نکرہ (اسم آلہ) ✓ (b) اسم معرفہ (c) اسم ضمیر (d) اسم صفت
Q28: “جس کی کوئی انتہا نہ ہو” کے لیے ایک لفظ کیا استعمال ہوتا ہے؟
(a) لامحدود یا بے پایاں ✓ (b) محدود (c) فانی (d) مختصر
Q29: درج ذیل میں سے کون سا لفظ مؤثن (Feminine) ہے؟
(a) پانی (b) دہی (c) گھاس ✓ (d) جوتا
Q30: “بغل میں چھری منہ میں رام رام” کہاوت کا مفہوم کیا ہے؟
(a) ظاہری دوستی اور باطنی دشمنی ✓ (b) سچی دوستی (c) چاپلوسی کرنا (d) غریب کی مدد کرنا
Q31: مشہور تصنیف “آبِ حیات” کے مصنف کون ہیں؟
(a) مولانا شبلی نعمانی (b) محمد حسین آزاد ✓ (c) سر سید احمد خان (d) ڈپٹی نذیر احمد
Q32: اردو میں تلمیح (Allusion) کی صنعت سے کیا مراد ہے؟
(a) کسی تاریخی، مذہبی یا لوک داستان کی طرف اشارہ کرنا ✓ (b) ایک جیسے الفاظ استعمال کرنا (c) مبالغہ آرائی کرنا (d) شعر میں ضد لانا
Q33: لفظ “بخل” کا متضاد (Antonym) کیا ہے؟
(a) کنجوسی (b) سخاوت یا فیاضی ✓ (c) بزدلی (d) نادانی
Q34: “دردِ دل کے واسطے پیدا کیا انسان کو” یہ مشہور مصرع کس شاعر کا ہے؟
(a) میر تقی میر (b) مرزا غالب (c) خواجہ میر درد ✓ (d) علامہ اقبال
Q35: اسم صفت کی کتنی بنیادی اقسام ہیں؟
(a) تین (b) چار (c) پانچ ✓ (d) چھ
Q36: “خاک چھاننا” محاورے کا مطلب کیا ہے؟
(a) صفائی کرنا (b) مارا مارا پھرنا یا سخت تلاش کرنا ✓ (c) مٹی اڑانا (d) غصہ ہونا
Q37: درج ذیل میں سے کون سا مجموعہ کلام علامہ اقبال کا نہیں ہے؟
(a) بالِ جبریل (b) ضربِ کلیم (c) نخشِ فرہاد ✓ (d) بانگِ درا
Q38: درست املا والے لفظ کی نشاندہی کریں:
(a) مسئول (b) مسؤل (c) مسؤول ✓ (d) مسول
Q39: “استادِ سخن” کس شاعر کا لقب مانا جاتا ہے؟
(a) ذوق (b) غالب (c) داغ دہلوی (d) مومن خان مومن (یا بالعموم ذوق/غالب کے زمرے میں آتا ہے – درست جواب: ذوق) ✓
Q40: اردو گرامر میں “فاعل” سے کیا مراد ہے؟
(a) کام کرنے والا ✓ (b) جس پر کام کیا جائے (c) جو کام ہو (d) وقت
General Knowledge
Everyday Science, Current Affairs & Pakistan Affairs (50 Marks)
Q41: Which tectonic plate boundary is primarily responsible for the formation of the Himalayan mountain range?
(a) Divergent boundary (b) Convergent continental-continental collision (Indian and Eurasian plates) ✓ (c) Transform fault boundary (d) Oceanic-oceanic subduction zone
Q42: What is the absolute chemical composition and name of heavy water used as a moderator in nuclear reactors?
(a) Hydrogen deuteride (HD) (b) Deuterium oxide (D2O) ✓ (c) Tritium oxide (T2O) (d) Hydroxyl ion (OH-)
Q43: Which international organization officially adopted the Pact for the Future during the Summit of the Future?
(a) World Bank (b) United Nations (UN) ✓ (c) NATO (d) World Health Organization
Q44: In which constitutional amendment of Pakistan was the concurrent legislative list officially abolished, transferring full legislative powers to the provinces?
(a) 17th Amendment (b) 18th Amendment ✓ (c) 19th Amendment (d) 21st Amendment
Q45: What is the primary function of ribosomes inside a living biological cell?
(a) Lipid synthesis (b) Protein synthesis ✓ (c) ATP generation (Respiration) (d) Waste degradation
Q46: Which country holds the current rotating presidency of the UN Security Council or major summits as of recent 2026 timelines? (General geopolitical alignment: Who is the largest producer of rare earth elements globally?)
(a) United States (b) China ✓ (c) Australia (d) Russia
Q47: The Radcliffe Award of 1947 placed which crucial district of Punjab on the wrong side, giving India a land route to Kashmir?
(a) Sialkot (b) Gurdaspur ✓ (c) Ferozepur (d) Amritsar
Q48: What is the pH value of human arterial blood under normal healthy physiological conditions?
(a) 6.8 to 7.0 (b) 7.35 to 7.45 ✓ (c) 7.6 to 7.8 (d) 6.4 to 6.6
Q49: Which strait connects the Atlantic Ocean to the Mediterranean Sea and separates Spain from Morocco?
(a) Strait of Malacca (b) Strait of Hormuz (c) Strait of Gibraltar ✓ (d) Bosphorus Strait
Q50: Who was the Prime Minister of Pakistan when the country’s first-ever constitution was successfully promulgated in 1956?
(a) Liaquat Ali Khan (b) Khawaja Nazimuddin (c) Chaudhry Muhammad Ali ✓ (d) Huseyn Shaheed Suhrawardy
Q51: What type of lens is specifically prescribed by ophthalmologists to correct Myopia (nearsightedness)?
(a) Convex lens (b) Concave lens ✓ (c) Cylindrical lens (d) Bifocal lens
Q52: The famous ” Durand Line,” established in 1893, serves as the international border between Pakistan and which country?
(a) Iran (b) China (c) Afghanistan ✓ (d) Tajikistan
Q53: Which atmospheric layer contains the ozone layer that filters harmful ultraviolet solar radiation?
(a) Troposphere (b) Stratosphere ✓ (c) Mesosphere (d) Thermosphere
Q54: What is the total number of members in the United Nations General Assembly (UNGA)?
(a) 191 (b) 193 ✓ (c) 195 (d) 197
Q55: Who authored the famous historical book “The Discovery of India”?
(a) Mahatma Gandhi (b) Subhas Chandra Bose (c) Jawaharlal Nehru ✓ (d) Rabindranath Tagore
Q56: Which vitamin deficiency causes the medical condition known as Beriberi?
(a) Vitamin A (b) Vitamin B1 (Thiamine) ✓ (c) Vitamin C (d) Vitamin D
Q57: What is the deepest oceanic trench on Earth?
(a) Java Trench (b) Mariana Trench ✓ (c) Puerto Rico Trench (d) Sunda Trench
Q58: In which year was the Organization of Islamic Cooperation (OIC) founded following the arson attack on Al-Aqsa Mosque?
(a) 1965 (b) 1969 ✓ (c) 1973 (d) 1974
Q59: What is the chemical symbol and atomic number of Gold?
(a) Ag, 47 (b) Au, 79 ✓ (c) Pb, 82 (d) Pt, 78
Q60: Which Pakistani scientist played a monumental role as the scientific leader of Pakistan’s nuclear weapons program (Chagai tests)?
(a) Dr. Atta-ur-Rahman (b) Dr. Abdul Qadeer Khan ✓ (c) Dr. Ishfaq Ahmad (d) Dr. Samar Mubarakmand
Q61: What is the capital city of Kazakhstan, which was renamed Astana after previously being called Nur-Sultan?
(a) Almaty (b) Astana ✓ (c) Shymkent (d) Bishkek
Q62: Which gas is most abundant in the Earth’s lower atmosphere by volume?
(a) Oxygen (b) Carbon Dioxide (c) Nitrogen ✓ (d) Argon
Q63: The Simla Agreement between India and Pakistan was signed in the wake of the 1971 war on which date?
(a) July 2, 1972 ✓ (b) August 14, 1972 (c) December 16, 1971 (d) January 5, 1973
Q64: What is the speed of light in a vacuum approximately?
(a) 3 x 10^6 m/s (b) 3 x 10^8 m/s ✓ (c) 3 x 10^10 m/s (d) 3 x 10^5 m/s
Q65: Which desert is considered the largest hot desert in the world outside of Antarctica?
(a) Gobi Desert (b) Kalahari Desert (c) Sahara Desert ✓ (d) Thar Desert
Q66: Who was the founder of the All India Muslim League in 1906 at Dhaka?
(a) Quaid-e-Azam Muhammad Ali Jinnah (b) Nawab Salimullah Khan (c) Sir Aga Khan III ✓ (d) Allama Iqbal
Q67: What is the primary cause of smog formation in urban industrial areas during winter temperature inversions?
(a) Excess ozone depletion (b) Accumulation of particulate matter, nitrogen oxides, and sulfur dioxide trapped near ground level ✓ (c) High oceanic evaporation rates (d) Solar flare radiation
Q68: Which country recently became the latest member of NATO (North Atlantic Treaty Organization) in the mid-2020s?
(a) Ukraine (b) Sweden ✓ (c) Finland (Note: Finland joined in 2023, Sweden in 2024) (d) Georgia
Q69: What is the SI unit of electric current?
(a) Volt (b) Ohm (c) Ampere ✓ (d) Watt
Q70: The Objective Resolution was passed by the Constituent Assembly of Pakistan on which historic date?
(a) August 14, 1947 (b) March 12, 1949 ✓ (c) March 23, 1956 (d) October 7, 1958
Q71: Which organ in the human body produces bile to help emulsify fats?
(a) Pancreas (b) Liver ✓ (c) Gallbladder (d) Spleen
Q72: What is the currency of Japan?
(a) Yuan (b) Won (c) Yen ✓ (d) Ringgit
Q73: Which plateau is famously known as the “Roof of the World”?
(a) Deccan Plateau (b) Pamir Plateau ✓ (c) Colorado Plateau (d) Tibetan Plateau
Q74: Who was the first Governor-General of Pakistan?
(a) Quaid-e-Azam Muhammad Ali Jinnah ✓ (b) Khawaja Nazimuddin (c) Ghulam Muhammad (d) Iskander Mirza
Q75: What is the main greenhouse gas responsible for anthropogenic global warming?
(a) Methane (b) Carbon Dioxide (CO2) ✓ (c) Nitrous Oxide (d) Ozone
Q76: Which international treaty signed in 1987 successfully phased out ozone-depleting substances like CFCs?
(a) Kyoto Protocol (b) Montreal Protocol ✓ (c) Paris Agreement (d) Basel Convention
Q77: The headquarters of the International Court of Justice (ICJ) is located in which city?
(a) Geneva (b) New York (c) The Hague ✓ (d) Vienna
Q78: Which province of Pakistan shares boundaries with all other three provinces and Azad Kashmir/Gilgit-Baltistan?
(a) Sindh (b) Punjab ✓ (c) Balochistan (d) Khyber Pakhtunkhwa
Q79: What is the phenomenon where light bends as it passes from one medium to another due to a change in speed?
(a) Reflection (b) Refraction ✓ (c) Diffraction (d) Polarization
Q80: Which country is the world’s largest producer of crude oil as of recent global energy metrics?
(a) Saudi Arabia (b) Russia (c) United States ✓ (d) Iran
Q81: Who drafted the basic text of the Lahore Resolution (Pakistan Resolution) presented on March 23, 1940?
(a) Quaid-e-Azam (b) A.K. Fazlul Haq (c) Muhammad Zafarullah Khan ✓ (d) Liaquat Ali Khan
Q82: What is the function of red blood cells (erythrocytes) in human blood?
(a) Fighting bacterial infections (b) Transporting oxygen from lungs to body tissues via hemoglobin ✓ (c) Blood clotting (d) Regulating blood sugar
Q83: Which strait separates Asia from North America?
(a) Bab-el-Mandeb (b) Bering Strait ✓ (c) Strait of Hormuz (d) Cook Strait
Q84: In which year did Pakistan successfully conduct its counter-nuclear tests in Chagai, Balochistan?
(a) 1974 (b) 1988 (c) 1998 ✓ (d) 2001
Q85: What is the chemical formula for common table salt?
(a) HCl (b) NaOH (c) NaCl ✓ (d) Na2CO3
Q86: Which country recently hosted major global climate summits (COP summits) in the Middle East region (such as COP28)?
(a) Egypt (b) United Arab Emirates ✓ (c) Qatar (d) Saudi Arabia
Q87: What is the minimum age requirement prescribed by the Constitution of Pakistan to contest an election for the office of President?
(a) 30 years (b) 35 years (c) 40 years (d) 45 years ✓
Q88: Which subatomic particle was discovered by James Chadwick in 1932?
(a) Electron (b) Proton (c) Neutron ✓ (d) Positron
Q89: Which river is the longest in the world?
(a) Amazon River (b) Nile River ✓ (c) Yangtze River (d) Mississippi River
Q90: Who was the architect who designed the mausoleum of Quaid-e-Azam (Mazar-e-Quaid) in Karachi?
(a) Yahya Merchant ✓ (b) Nayyar Ali Dada (c) Le Corbusier (d) Edward Lutyens
English (50 Marks)
*(Advanced Vocabulary, Grammar Usage, Idioms, Analogies & Sentence Correction)*
Q1: Choose the word most nearly opposite in meaning to the word: ESTRANGEMENT
(a) Alienation (b) Reconciliation ✓ (c) Isolation (d) Division
Q2: Identify the correct meaning of the idiom: “To burn the midnight oil”
(a) To waste resources uselessly (b) To study or work late into the night ✓ (c) To cause a sudden disaster (d) To illuminate a dark room
Q3: Choose the synonym of the word: PUSILLANIMOUS
(a) Courageous (b) Generous (c) Timid or cowardly ✓ (d) Arrogant
Q4: Complete the analogy: OPAQUE : LIGHT :: IMPENETRABLE : ?
(a) Water (b) Air (c) Barrier ✓ (d) Sound
Q5: Identify the grammatically correct sentence among the following:
(a) Neither of the two candidates have submitted their assignment on time.
(b) Neither of the two candidates has submitted his assignment on time. ✓
(c) Neither of the two candidates have submitted his assignment on time.
(d) Neither of the two candidates has submitted their assignment on time.
Q6: What is the exact antonym of the word: GARRULOUS
(a) Talkative (b) Taciturn ✓ (c) Pompous (d) Belligerent
Q7: Choose the correct meaning of the foreign phrase: “Coup de grace”
(a) A polite introduction (b) A finishing blow or decisive stroke ✓ (c) A temporary agreement (d) A sudden realization
Q8: Fill in the blank with the appropriate preposition: “She is averse ______ taking risks in her professional career.”
(a) in (b) on (c) to ✓ (d) with
Q9: Select the correct active/passive voice conversion for: “The committee is reviewing the newly proposed municipal bylaws.”
(a) The newly proposed municipal bylaws are reviewed by the committee.
(b) The newly proposed municipal bylaws are being reviewed by the committee. ✓
(c) The newly proposed municipal bylaws were reviewed by the committee.
(d) The committee is being reviewed by the newly proposed municipal bylaws.
Q10: Choose the synonym for the word: OBSTINATE
(a) Flexible (b) Compliant (c) Stubborn or resolute ✓ (d) Transient
Q11: Identify the error in the sentence: “Hardly had he stepped out of the office than it started pouring heavily.”
(a) Hardly had (b) stepped out (c) than it started (Error: should be ‘when’) ✓ (d) pouring heavily
Q12: What does the idiom “A Pyrrhic victory” signify?
(a) A glorious and undisputed win (b) A victory won at too great a cost to be worthwhile ✓ (c) A temporary tactical retreat (d) A victory achieved through betrayal
Q13: Choose the word with the correct spelling:
(a) Millenium (b) Millennium ✓ (c) Milenium (d) Millenium
Q14: Complete the sentence with the correct conditional form: “If I ______ about the traffic congestion, I would have taken an alternate route.”
(a) know (b) knew (c) had known ✓ (d) would have known
Q15: Choose the antonym of the word: EPHEMERAL
(a) Permanent or enduring ✓ (b) Fleeting (c) Temporary (d) Transient
Q16: Select the correct indirect speech conversion for: He said to me, “Where are you heading at this late hour?”
(a) He asked me where I was heading at that late hour. ✓
(b) He told me where are you heading at this late hour.
(c) He asked me that where was I heading at this late hour.
(d) He inquired me where I am heading at that late hour.
Q17: What is the meaning of the phrasal verb “to put up with”?
(a) To construct a building (b) To tolerate or endure patiently ✓ (c) To postpone an event (d) To display openly
Q18: Choose the synonym of the word: LUGUBRIOUS
(a) Cheerful (b) Mournful or excessively gloomy ✓ (c) Energetic (d) Lucid
Q19: Fill in the blank: “Scarcely had the train stopped ______ the passengers rushed toward the exit.”
(a) than (b) when ✓ (c) then (d) before
Q20: Identify the correct singular/plural pairing:
(a) Datum -> Data ✓ (b) Analysis -> Analysises (c) Criterion -> Criterions (d) Index -> Indexes (standard scientific: Indices, but Datum/Data is classic)
Q21: Choose the antonym of the word: BENEVOLENT
(a) Malevolent or malicious ✓ (b) Generous (c) Kind (d) Charitable
Q22: What does the idiom “To cut the Gordian knot” mean?
(a) To tie a complex rope (b) To solve a complex problem decisively and boldly ✓ (c) To destroy a relationship (d) To avoid a difficult situation
Q23: Choose the correct preposition: “He dispensed ______ the services of his corrupt manager.”
(a) with ✓ (b) off (c) out (d) from
Q24: Select the word that best fits the blank: “Her ______ critique of the prevailing economic policies earned her widespread academic acclaim.”
(a) superficial (b) incisive ✓ (c) tentative (d) ambiguous
Q25: Identify the correctly punctuated sentence:
(a) Its important to remember, that safety comes first.
(b) It’s important to remember that safety comes first. ✓
(c) Its’ important to remember that safety comes first.
(d) It is important to remember, that safety, comes first.
General Abilities (60 Marks)
(Basic Arithmetic, Algebra, Geometry, Logical Problem-Solving, Analytical & Mental Abilities)
Q26: If the polynomial x^3 – 3x^2 + kx – 10 is exactly divisible by (x – 2), what is the value of k?
(a) 9
(b) 11 ✓
(c) 13
(d) 15
Q27: A sum of money invested at compound interest amounts to Rs. 2,400 in 2 years and Rs. 2,640 in 3 years. What is the annual rate of interest?
(a) 5%
(b) 8%
(c) 10% ✓
(d) 12%
Q28: If a + b + c = 12 and ab + bc + ca = 47, what is the exact value of a^2 + b^2 + c^2?
(a) 42
(b) 48
(c) 50 ✓
(d) 54
Q29: What is the angle between the hands of a clock at exactly 3:40 PM?
(a) 120 degrees
(b) 125 degrees
(c) 130 degrees ✓
(d) 135 degrees
Q30: A vessel contains 200 liters of acid and water mixture in which acid is 25% by volume. How much pure acid must be added to make the mixture 40% acid?
(a) 40 liters
(b) 50 liters ✓
(c) 60 liters
(d) 75 liters
Q31: If the roots of the quadratic equation (k+1)x^2 – 2(k+3)x + (k+8) = 0 are real and equal, what is the value of k?
(a) 1
(b) 2 ✓
(c) 3
(d) 4
Q32: Find the missing number in the complex series: 4, 9, 25, 49, 121, 169, ?
(a) 225
(b) 289 ✓
(c) 324
(d) 361
Q33: If x = cube_root(2 + sqrt(5)) + cube_root(2 – sqrt(5)), what is the algebraic nature and value of x?
(a) x is an irrational number equal to sqrt(5)
(b) x is a rational integer equal to 1 ✓
(c) x is equal to 0
(d) x is equal to 2
Q34: The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one weighing 65 kg. What is the weight of the new person?
(a) 80 kg
(b) 82 kg
(c) 85 kg ✓
(d) 90 kg
Q35: In a code language, if MATHEMATICS is coded as NCUIGVUNKUW, how is GEOMETRY coded in that same language?
(a) HGPQVUA ✓
(b) HFOQWVB
(c) IFPRWUC
(d) HGPQVUB
Q36: A right circular cone has a base radius of 6 cm and a slant height of 10 cm. What is its total surface area in terms of pi?
(a) 64*pi cm^2
(b) 84*pi cm^2
(c) 96*pi cm^2 ✓
(d) 108*pi cm^2
Q37: If 2^x * 3^y = 72 and 2^(x-1) * 3^(y+1) = 36, what are the respective values of x and y?
(a) x=2, y=3
(b) x=3, y=2 ✓
(c) x=1, y=4
(d) x=4, y=1
Q38: A train covers a distance between two stations in 4 hours with an average speed of 60 km/h. If the speed is increased by 15 km/h, how much time will it save?
(a) 36 minutes
(b) 45 minutes
(c) 48 minutes ✓
(d) 50 minutes
Q39: If x – (1/x) = 4, what is the numerical value of x^4 + (1/x^4)?
(a) 322 ✓
(b) 324
(c) 334
(d) 342
Q40: Five persons (A, B, C, D, E) are standing in a queue. A is behind B, C is ahead of A but behind D. E is standing at the extreme front. Who is standing in the exact middle of the queue?
(a) A
(b) B
(c) C ✓
(d) D
Q41: What is the remainder when 3^100 is divided by 8?
(a) 1 ✓
(b) 3
(c) 5
(d) 7
Q42: The internal dimensions of a rectangular open box are 10 cm, 8 cm, and 6 cm. If the thickness of the wood is 1 cm uniformly all around, what is the volume of the wood used?
(a) 264 cm^3
(b) 288 cm^3
(c) 312 cm^3 ✓
(d) 340 cm^3
Q43: If sin(theta) + cos(theta) = sqrt(2)*sin(theta), what is the exact value of cos(theta)?
(a) (sqrt(2)-1)*sin(theta) ✓
(b) sqrt(2)*sin(theta)
(c) (1/sqrt(2))*sin(theta)
(d) (sqrt(2)+1)*sin(theta)
Q44: A vendor marks up an item by 40% above its cost price and then offers a successive discount of 20% on the marked price. What is his net percentage profit?
(a) 8%
(b) 10%
(c) 12% ✓
(d) 15%
Q45: Complete the alphanumeric series: AZ2, BY4, CX8, DW16, ?
(a) EV32 ✓
(b) EU32
(c) EV64
(d) EW32
Q46: If the system of equations 3x + 4y = 12 and 9x + ky = 36 has infinitely many solutions, what is the value of k?
(a) 6
(b) 9
(c) 12 ✓
(d) 15
Q47: A cylindrical water tank of diameter 14 meters and depth 5 meters is filled using a pipe pouring water at 11 liters per second. Approximately how many hours will it take to fill the tank completely?
(a) 20 hours
(b) 24 hours
(c) 30 hours ✓
(d) 35 hours
Q48: If x = (sqrt(7) + sqrt(3)) / (sqrt(7) – sqrt(3)) and y = (sqrt(7) – sqrt(3)) / (sqrt(7) + sqrt(3)), what is the value of x^2 + y^2 + xy?
(a) 165
(b) 171
(c) 175 ✓
(d) 181
Q49: Pointing to a woman in a portrait, a man stated, “Her father is the only son of my mother.” How is the man related to the woman?
(a) Brother
(b) Father ✓
(c) Uncle
(d) Grandfather
Q50: A contractor undertakes to complete a massive civil project in 40 days and engages 100 workers. After 24 days, he finds that only 40% of the work is completed. How many additional workers must he deploy to finish the project precisely on schedule?
(a) 100 workers
(b) 150 workers
(c) 200 workers ✓
(d) 250 workers
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