General Knowledge
(Everyday Science, Current Affairs & Pakistan Affairs)
Q1: What is the primary chemical compound responsible for the ozone layer depletion in the stratosphere?
(a) Carbon Dioxide (b) Chlorofluorocarbons (CFCs) ✓ (c) Methane (d) Sulphur Dioxide
Q2: Which blood group is known as the universal recipient because individuals with this group can receive red blood cells from any other group?
(a) O negative (b) A positive (c) AB positive ✓ (d) B negative
Q3: What is the SI unit of electrical resistance?
(a) Ampere (b) Volt (c) Ohm ✓ (d) Watt
Q4: Which of the following fundamental forces in physics is responsible for holding the protons and neutrons together inside an atomic nucleus?
(a) Gravitational force (b) Electromagnetic force (c) Weak nuclear force (d) Strong nuclear force ✓
Q5: What process occurs when a solid substance transforms directly into a gas without passing through the liquid state?
(a) Evaporation (b) Condensation (c) Sublimation ✓ (d) Melting
Q6: Which gas constitutes the highest percentage by volume in the Earth’s atmosphere?
(a) Oxygen (b) Carbon Dioxide (c) Nitrogen ✓ (d) Argon
Q7: What is the powerhouse of a biological eukaryotic cell responsible for cellular respiration and ATP production?
(a) Ribosome (b) Mitochondria ✓ (c) Golgi apparatus (d) Endoplasmic reticulum
Q8: Which vitamin is water-soluble and also known scientifically as Ascorbic Acid?
(a) Vitamin A (b) Vitamin B12 (c) Vitamin C ✓ (d) Vitamin D
Q9: What is the approximate speed of light in a vacuum?
(a) 3×106 m/s (b) 3×108 m/s ✓ (c) 3×1010 m/s (d) 3×104 m/s
Q10: Which instrument is utilized to measure atmospheric pressure?
(a) Hygrometer (b) Barometer ✓ (c) Anemometer (d) Altimeter
Q11: Under the 1973 Constitution of Pakistan, which article deals with the “High Treason” clause pertaining to the abrogation or subversion of the constitution?
(a) Article 5 (b) Article 6 ✓ (c) Article 62 (d) Article 184
Q12: Which mountain pass historically serves as a major geopolitical gateway connecting Pakistan (Khyber Pakhtunkhwa) with Afghanistan?
(a) Tochi Pass (b) Gomal Pass (c) Khyber Pass ✓ (d) Lowari Pass
Q13: Who was the first Muslim Commander-in-Chief of the Pakistan Army?
(a) General Ayub Khan (b) General Tikka Khan (c) General Mian Hayaud Din (d) General Ayub Khan was the first indigenous Commander-in-Chief ✓
Q14: The landmark 26th Constitutional Amendment of Pakistan, enacted in October 2024, introduced key changes regarding the tenure and appointment of which high office?
(a) Chief Justice of Pakistan ✓ (b) Chief Election Commissioner (c) Prime Minister (d) President of Pakistan
Q15: Which plateau is often referred to as the “Roof of the World” and borders Pakistan’s northern frontiers?
(a) Deosai Plateau (b) Pamir Plateau ✓ (c) Potohar Plateau (d) Chagai Plateau
Q16: Which international financial institution approved major economic stabilization and structural reform packages for Pakistan through the Extended Fund Facility (EFF)?
(a) World Bank (b) Asian Development Bank (c) International Monetary Fund (IMF) ✓ (d) Islamic Development Bank
Q17: The historic landmark of “Mohenjo-daro”, belonging to the Indus Valley Civilization, is situated on the right bank of which river?
(a) Ravi River (b) Chenab River (c) Indus River ✓ (d) Sutlej River
Q18: Which constitutional body in Pakistan is constitutionally mandated to distribute federal tax revenues between the federal government and the provinces?
(a) Council of Common Interests (b) National Finance Commission (NFC) ✓ (c) Economic Coordination Committee (d) Planning Commission
Q19: What is the total length of Pakistan’s coastline along the Arabian Sea approximately?
(a) 500 km (b) 700 km (c) 1,046 km ✓ (d) 1,250 km
Q20: Which treaty, signed in September 1960 through the mediation of the World Bank, settled the water distribution dispute between Pakistan and India over the Indus basin river system?
(a) Simla Agreement (b) Tashkent Declaration (c) Indus Waters Treaty ✓ (d) Rann of Kutch Pact
Q21: Which gas is predominantly emitted during volcanic eruptions and is primarily responsible for acid rain?
(a) Methane (b) Sulphur Dioxide ✓ (c) Helium (d) Nitrogen
Q22: What is the chemical formula of heavy water, used as a neutron moderator in certain types of nuclear reactors?
(a) H2O (b) D2O ✓ (c) H2O2 (d) T2O
Q23: Which human organ is primarily affected by the disease known as “Hepatitis”?
(a) Lungs (b) Kidneys (c) Liver ✓ (d) Heart
Q24: What phenomenon explains the blue color of the clear daytime sky?
(a) Reflection of light (b) Refraction of light (c) Rayleigh scattering of light ✓ (d) Total internal reflection
Q25: What is the main component of natural gas used widely for domestic and industrial fuel?
(a) Propane (b) Butane (c) Methane ✓ (d) Ethane
Q26: Which sub-atomic particle carries a net negative electrical charge?
(a) Proton (b) Neutron (c) Electron ✓ (d) Positron
Q27: What is the normal physiological pH level of human arterial blood?
(a) 6.8 to 7.0 (b) 7.35 to 7.45 ✓ (c) 7.8 to 8.0 (d) 6.5 to 6.8
Q28: Which botanical term describes plants that are adapted to living in extremely dry or arid desert environments?
(a) Hydrophytes (b) Halophytes (c) Xerophytes ✓ (d) Mesophytes
Q29: What is the primary function of white blood cells (leukocytes) in the human immune system?
(a) Transporting oxygen from lungs (b) Defending the body against infectious diseases and foreign invaders ✓ (c) Clotting blood during injuries (d) Regulating blood sugar levels
Q30: Which alloy is formed by combining copper and zinc?
(a) Bronze (b) Brass ✓ (c) Steel (d) Solder
Q31: Which sector of Pakistan’s economy has shown the most rapid export growth trajectory and foreign exchange inflow in recent years?
(a) Textile manufacturing (b) Information Technology (IT) and freelancing ✓ (c) Automobile assembly (d) Leather goods
Q32: In which district of Balochistan is the Saindak copper and gold mining project located?
(a) Gwadar (b) Quetta (c) Chagai ✓ (d) Khuzdar
Q33: Who was the first Prime Minister of Pakistan who also held the distinction of presenting the country’s maiden budget in 1948?
(a) Liaquat Ali Khan ✓ (b) Khawaja Nazimuddin (c) Malik Ghulam Muhammad (d) Chaudhry Muhammad Ali
Q34: Which international organization partners closely with Pakistan for regional economic integration through the Central Asia Regional Economic Cooperation (CAREC) program?
(a) European Union (b) Asian Development Bank (ADB) ✓ (c) NATO (d) BRICS
Q35: What is the primary administrative and operational objective of Phase-II of the China-Pakistan Economic Corridor (CPEC)?
(a) Construction of basic cross-border highways only (b) Focus on industrial cooperation, agricultural modernization, IT ventures, and Special Economic Zones (SEZs) ✓ (c) Military defense pact expansion (d) Maritime border patrolling
Q36: Which Pakistani scientist played a monumental theoretical role in formulating the electroweak unification theory, earning a Nobel Prize in Physics in 1979?
(a) Dr. Atta-ur-Rahman (b) Dr. Abdul Qadeer Khan (c) Dr. Abdus Salam ✓ (d) Dr. Ishfaq Ahmad
Q37: Which historical pass links Peshawar with Kabul and served as the central invasion route into the South Asian subcontinent for centuries?
(a) Bolan Pass (b) Shandur Pass (c) Khyber Pass ✓ (d) Kurram Pass
Q38: Under Pakistan’s administrative setup, who serves as the formal Chairperson of the Council of Common Interests (CCI)?
(a) President of Pakistan (b) Prime Minister of Pakistan ✓ (c) Chief Justice of Pakistan (d) Chairman Senate
Q39: Which desert spans across the eastern border of Pakistan’s Punjab province into the Indian state of Rajasthan?
(a) Thal Desert (b) Thar Desert ✓ (c) Cholistan Desert (d) Kharan Desert
Q40: Which legislative amendment in Pakistan institutionalized the merger of the former Federally Administered Tribal Areas (FATA) with the Khyber Pakhtunkhwa province?
(a) 24th Constitutional Amendment (b) 25th Constitutional Amendment ✓ (c) 26th Constitutional Amendment (d) 18th Constitutional Amendment
Q41: What is the critical temperature scale in thermodynamics where all thermal molecular motion theoretically ceases at zero?
(a) Celsius scale (b) Fahrenheit scale (c) Kelvin / Absolute scale ✓ (d) Rankine scale
Q42: Which enzyme present in human saliva initiates the chemical breakdown of complex starches into simpler sugars?
(a) Pepsin (b) Amylase (ptyalin) ✓ (c) Lipase (d) Trypsin
Q43: What physical law states that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature?
(a) Charles’s Law (b) Boyle’s Law ✓ (c) Gay-Lussac’s Law (d) Avogadro’s Law
Q44: Which renewable energy source captures thermal energy generated and stored deep beneath the Earth’s crust?
(a) Solar energy (b) Wind energy (c) Geothermal energy ✓ (d) Biomass energy
Q45: Which geological fault line runs directly through southern and central Pakistan, making regions like Karachi seismically active?
(a) Main Mantle Thrust (b) Chaman Fault Line (c) Kirthar and Pab Fault Systems ✓ (d) Salt Range Thrust
Q46: Which international climate vulnerability index frequently ranks Pakistan among the nations most severely impacted by extreme weather events and glacial lake outburst floods?
(a) Environmental Performance Index (b) Global Climate Risk Index ✓ (c) Human Development Index (d) World Happiness Index
Q47: Which major port city in Balochistan is being developed as the core deep-water commercial hub of the China-Pakistan Economic Corridor?
(a) Ormara (b) Jiwani (c) Gwadar ✓ (d) Pasni
Q48: Who authored the famous historical and literary book Ain-i-Akbari, providing extensive administrative details of the Mughal Empire?
(a) Abul Fazl ✓ (b) Faizi (c) Badauni (d) Emperor Akbar
Q49: Which vitamin deficiency causes the chronic bone-softening disease known as “Rickets” in children?
(a) Vitamin A (b) Vitamin C (c) Vitamin D ✓ (d) Vitamin K
Q50: What is the primary chemical compound that gives chili peppers their characteristic hot and spicy sensation?
(a) Piperine (b) Capsaicin ✓ (c) Allicin (d) Curcumin
English: Vocabulary, Grammar Usage & Comprehension
Q1: Choose the correct synonym of the word “Ostensibly”.
(a) Secretly (b) Apparently or Seemingly ✓ (c) Genuinely (d) Permanently
Q2: Choose the correct antonym of “Mellifluous”.
(a) Harmonious (b) Melodious (c) Cacophonous or Harsh ✓ (d) Sweet
Q3: Fill in the blank using the correct conditional structure: “Had he studied diligently, he __ the competitive examination.”
(a) would pass (b) would have passed ✓ (c) will pass (d) had passed
Q4: Identify the correct meaning of the idiom “To carry coal to Newcastle”.
(a) To undertake a dangerous journey (b) To do something redundant or perform a useless labor ✓ (c) To supply energy to industries (d) To store heavy goods
Q5: Choose the correct synonym of “Paucity”.
(a) Abundance (b) Scarcity or Dearth ✓ (c) Surplus (d) Plenitude
Q6: Choose the correct antonym of “Eschew”.
(a) Avoid (b) Shunning (c) Embrace or Welcome ✓ (d) Forsake
Q7: Identify the correct sentence with proper punctuation and subject-verb agreement:
(a) Neither of the candidates were prepared for the rigorous interview. (b) Neither of the candidates was prepared for the rigorous interview. ✓ (c) Neither the candidates was prepared for the rigorous interview. (d) Neither were the candidates prepared for the interview.
Q8: What does the phrasal verb “To set store by” mean?
(a) To establish a retail shop (b) To value or consider something important ✓ (c) To hoard commodities (d) To waste financial resources
Q9: Choose the correct synonym of “Recalcitrant”.
(a) Compliant (b) Obeying (c) Defiant or Obstinate ✓ (d) Docile
Q10: Choose the correct antonym of “Gargantuan”.
(a) Colossal (b) Massive (c) Minuscule or Tiny ✓ (d) Vast
Q11: Fill in the blank with the correct preposition: “He is afflicted __ a rare chronic disorder.”
(a) from (b) with ✓ (c) by (d) in
Q12: What is the exact meaning of the legal and administrative term “De facto”?
(a) According to the law (b) In practice or reality, whether legally established or not ✓ (c) By official decree (d) Temporary suspension
Q13: Identify the correct spelling among the following options:
(a) Heterogeneous ✓ (b) Heterogenious (c) Hetrogenous (d) Heterojeneous
Q14: Choose the correct synonym of “Pugnacious”.
(a) Peaceful (b) Combative or Quarrelsome ✓ (c) Friendly (d) Submissive
Q15: Choose the correct antonym of “Nadir”.
(a) Lowest point (b) Bottom (c) Zenith or Apex ✓ (d) Base
Q16: Fill in the blank: “No sooner had the train stopped __ the passengers rushed out.”
(a) than ✓ (b) when (c) then (d) before
Q17: What does the idiom “A Damocles’ sword” signify?
(a) A protective shield (b) An imminent and constant threat or danger ✓ (c) A sharp weapon of justice (d) A sudden windfall
Q18: Choose the correct synonym of “Labyrinthine”.
(a) Straightforward (b) Direct (c) Convoluted or Maze-like ✓ (d) Simple
Q19: Choose the correct antonym of “Ameliorate”.
(a) Improve (b) Mitigate (c) Worsen or Aggravate ✓ (d) Enhance
Q20: Identify the correct passive voice of: “They are expected to announce the final results tomorrow.”
(a) The final results are expected to be announced tomorrow. ✓ (b) They are expecting the final results tomorrow. (c) The final results will be announced by them tomorrow. (d) It is expected to announce results tomorrow.
Q21: Choose the correct synonym of “Soporific”.
(a) Stimulating (b) Inducing sleep or Drowsy ✓ (c) Energetic (d) Alert
Q22: Choose the correct antonym of “Taciturn”.
(a) Silent (b) Reserved (c) Loquacious or Talkative ✓ (d) Reticent
Q23: Fill in the blank with the correct article: “__ integrity is essential for true leadership.”
(a) A (b) An (c) The (d) No article needed ✓
Q24: What does the idiom “To draw a long bow” mean?
(a) To shoot accurately (b) To exaggerate or stretch the truth ✓ (c) To prepare for battle (d) To retreat defensively
Q25: Choose the correct synonym of “Ubiquitous”.
(a) Rare (b) Omnipresent or Found everywhere ✓ (c) Scarce (d) Hidden
Q26: Choose the correct antonym of “Venerate”.
(a) Respect (b) Revere (c) Despise or Scorn ✓ (d) Honor
Q27: Fill in the blank: “Each of the participants __ given a comprehensive manual.”
(a) were (b) are (c) was ✓ (d) have been
Q28: What is the meaning of the Latin phrase “Quid pro quo”?
(a) Without conditions (b) An advantage or favor granted in return for something ✓ (c) Official warning (d) Legal precedent
Q29: Identify the correct spelling:
(a) Dilemma ✓ (b) Dillema (c) Dilema (d) Dillemma
Q30: Choose the correct synonym of “Zealot”.
(a) Moderate (b) Fanatic or Extremist ✓ (c) Liberal (d) Neutral
Q31: Choose the correct antonym of “Banal”.
(a) Trite (b) Original or Fresh ✓ (c) Commonplace (d) Dull
Q32: Fill in the blank: “Hardly had I stepped outside __ the torrential rain started.”
(a) than (b) when ✓ (c) then (d) after
Q33: What does the idiom “Pyrrhic victory” mean?
(a) A decisive and clean triumph (b) A victory won at too great a cost to be worthwhile ✓ (c) A shared success (d) An unexpected win
Q34: Choose the correct synonym of “Capricious”.
(a) Stable (b) Predictable (c) Fanciful or Erratic ✓ (d) Consistent
Q35: Choose the correct antonym of “Debilitate”.
(a) Weaken (b) Enfeeble (c) Invigorate or Strengthen ✓ (d) Drain
Q36: Identify the correct indirect speech for: He remarked, “What a magnificent architecture this is!”
(a) He exclaimed with wonder that it was a magnificent architecture. ✓ (b) He said that what a magnificent architecture this is. (c) He asked if it was magnificent architecture. (d) He remarked that it is magnificent architecture.
Q37: Choose the correct synonym of “Ephemeral”.
(a) Permanent (b) Transitory or Fleeting ✓ (c) Enduring (d) Perpetual
Q38: Choose the correct antonym of “Fastidious”.
(a) Meticulous (b) Particular (c) Slovenly or Careless ✓ (d) Exacting
Q39: Fill in the blank: “The committee __ unanimous in its final verdict.”
(a) were (b) was ✓ (c) have been (d) are
Q40: What is the meaning of the phrasal verb “To bear out”?
(a) To tolerate pain (b) To confirm or substantiate the truth of something ✓ (c) To carry heavy loads (d) To phase out gradually
Q41: Choose the correct synonym of “Gregarious”.
(a) Reclusive (b) Sociable or Fond of company ✓ (c) Introverted (d) Solitary
Q42: Choose the correct antonym of “Iconoclast”.
(a) Conformist or Traditionalist ✓ (b) Rebel (c) Skeptic (d) Innovator
Q43: Identify the correct plural form of “Phenomenon”.
(a) Phenomenons (b) Phenomena ✓ (c) Phenomend (d) Phenomenas
Q44: Choose the correct synonym of “Jaundiced”.
(a) Healthy (b) Biased or Prejudiced ✓ (c) Cheerful (d) Bright
Q45: Choose the correct antonym of “Lethargic”.
(a) Sluggish (b) Inert (c) Energetic or Vigorously active ✓ (d) Lazy
Q46: Fill in the blank: “She behaves as though she __ the sole owner of the estate.”
(a) is (b) was (c) were ✓ (d) has been
Q47: What does the idiom “To keep one’s own counsel” mean?
(a) To hire a lawyer (b) To keep one’s opinions, plans, or thoughts secret ✓ (c) To seek advice constantly (d) To judge fairly
Q48: Choose the correct synonym of “Mundane”.
(a) Extraordinary (b) Ordinary or Earthly ✓ (c) Exciting (d) Spiritual
Q49: Choose the correct antonym of “Nefarious”.
(a) Wicked (b) Sinful (c) Virtuous or Honorable ✓ (d) Villainous
Q50: Identify the correct spelling:
(a) Entrepreneur ✓ (b) Enterpreneur (c) Entrepeneur (d) Enterprenewr
General Abilities:
Basic Arithmetic, Algebra, Geometry, Logical Problem-Solving, Analytical & Mental Abilities
Q1: If the compound interest on a principal sum at 10% per annum for 2 years is Rs. 420, what is the principal amount?
(a) Rs. 1500 (b) Rs. 1800 (c) Rs. 2000 ✓ (d) Rs. 2500
Q2: A car travels a certain distance at 60 km/h and returns the same distance at 40 km/h. What is its average speed for the entire journey?
(a) 48 km/h ✓ (b) 50 km/h (c) 52 km/h (d) 55 km/h
Q3: If x + 1/x = 5, what is the value of x^3 + 1/x^3?
(a) 110 (b) 125 (c) 140 ✓ (d) 150
Q4: The interior angles of a pentagon are in the ratio 1:2:3:4:5. What is the measure of the largest angle?
(a) 108° (b) 135° (c) 150° ✓ (d) 165°
Q5: A vendor sells an article at a 20% profit. Had he bought it for 10% less and sold it for Rs. 18 less, he would have gained 30%. What is the original cost price of the article?
(a) Rs. 150 (b) Rs. 200 ✓ (c) Rs. 250 (d) Rs. 300
Q6: In a certain code language, “EXAM” is coded as “FYBN”. How is “MATH” coded in that language?
(a) NBUI ✓ (b) MBUI (c) NBUH (d) NCVI
Q7: Three pipes A, B, and C can fill an empty cistern in 12, 15, and 20 hours respectively. If all three pipes are opened simultaneously, how long will it take to fill the cistern?
(a) 4 hours (b) 5 hours ✓ (c) 6 hours (d) 7 hours
Q8: Find the next term in the alphanumeric series: Z1A, X2D, V6G, T24J, ?
(a) R120M ✓ (b) R96M (c) S120L (d) R120N
Q9: If 2^(2x+1) = 32, what is the exact value of x?
(a) 1 (b) 2 ✓ (c) 3 (d) 4
Q10: A rectangular garden has a perimeter of 60 meters and its length is twice its width. What is the total area of the garden?
(a) 150 sq meters (b) 200 sq meters ✓ (c) 250 sq meters (d) 300 sq meters
Q11: Pointing to a photograph of a man, a woman said, “His mother is the only daughter of my mother.” How is the woman related to the man in the photograph?
(a) Sister (b) Mother ✓ (c) Aunt (d) Niece
Q12: If the roots of the quadratic equation ax^2 + bx + c = 0 are equal, what condition must be satisfied by its discriminant?
(a) b^2 – 4ac > 0 (b) b^2 – 4ac < 0 (c) b^2 – 4ac = 0 ✓ (d) b^2 + 4ac = 0
Q13: A sum of money doubles itself in 8 years at simple interest. In how many years will it triple itself at the same rate?
(a) 12 years (b) 16 years ✓ (c) 20 years (d) 24 years
Q14: Complete the numerical series: 3, 7, 15, 31, 63, ?
(a) 121 (b) 127 ✓ (c) 131 (d) 135
Q15: The present ages of a father and his son are in the ratio 7:2. After 5 years, their ages will be in the ratio 8:3. What is the present age of the son?
(a) 8 years (b) 10 years ✓ (c) 12 years (d) 14 years
Q16: A cylindrical vessel of radius 7 cm and height 10 cm is completely filled with water. If all this water is poured into a rectangular cuboid container of length 11 cm and width 10 cm, what will be the height of water in the cuboid?
(a) 12 cm (b) 14 cm ✓ (c) 16 cm (d) 18 cm
Q17: If a : b = 3 : 4 and b : c = 8 : 9, what is the simplified ratio of a : c?
(a) 1 : 2 (b) 2 : 3 ✓ (c) 3 : 4 (d) 4 : 5
Q18: Five persons P, Q, R, S, and T are sitting in a row facing north. R is sitting immediately to the left of T. P is sitting to the immediate right of Q. S is sitting to the left of Q but to the right of R. Who is sitting exactly in the middle of the row?
(a) P (b) Q (c) S ✓ (d) R
Q19: What is the highest common factor (HCF) of the algebraic expressions x^3 – 8 and x^2 – 4?
(a) x – 2 ✓ (b) x + 2 (c) x^2 + 2x + 4 (d) (x-2)(x+2)
Q20: A dishonest dealer professes to sell his goods at cost price, but he uses a faulty weight of 900 grams instead of 1 kilogram. What is his actual profit percentage?
(a) 10% (b) 11.11% ✓ (c) 12.5% (d) 15%
Q21: If x – 1/x = 4, what is the value of x^4 + 1/x^4?
(a) 254 (b) 322 ✓ (c) 384 (d) 412
Q22: In a school of 500 students, 300 play cricket, 200 play football, and 50 play both sports. How many students play neither cricket nor football?
(a) 0 (b) 50 ✓ (c) 100 (d) 150
Q23: The angles of a triangle are in the arithmetic progression (AP) with the common difference being 20°. What is the measure of the smallest angle?
(a) 20° (b) 30° ✓ (c) 40° (d) 50°
Q24: A man rows a boat 18 km downstream in 2 hours and 12 km upstream in 3 hours. What is the speed of the current (stream)?
(a) 1.5 km/h (b) 2 km/h ✓ (c) 2.5 km/h (d) 3 km/h
Q25: Find the missing number in the matrix puzzle: [ 4, 5, 20 ], [ 6, 7, 42 ], [ 8, 9, ? ]
(a) 56 (b) 64 (c) 72 ✓ (d) 81
Q26: If the surface area of a solid sphere is 616 cm^2, what is its volume?
(a) 1232 cm^3 (b) 1437.33 cm^3 ✓ (c) 1540 cm^3 (d) 1792 cm^3
Q27: A mixture of 60 liters contains milk and water in the ratio 2:1. How much water must be added to make the ratio of milk to water 1:2?
(a) 20 liters (b) 30 liters (c) 40 liters ✓ (d) 50 liters
Q28: If pqr = 1, what is the simplified value of the expression 1/(1 + p + q^-1) + 1/(1 + q + r^-1) + 1/(1 + r + p^-1)?
(a) 0 (b) 1 ✓ (c) pqr (d) 3
Q29: What is the angle between the hour hand and the minute hand of a clock when the time is exactly 4:20 PM?
(a) 0° (b) 10° ✓ (c) 15° (d) 20°
Q30: A contractor undertakes to finish a road construction project in 40 days and employs 60 workers. After 25 days, he finds that only half of the work has been completed. How many additional workers must he employ to finish the remaining work on time?
(a) 20 (b) 30 (c) 40 ✓ (d) 50
Q31: If the roots of the equation x^2 – px + q = 0 differ by 1, which of the following relations is correct?
(a) p^2 = 4q + 1 ✓ (b) p^2 = 4q – 1 (c) p^2 – 4q = 0 (d) p = 2q + 1
Q32: Find the next number in the Fibonacci-style series: 2, 3, 5, 8, 13, 21, ?
(a) 32 (b) 34 ✓ (c) 38 (d) 42
Q33: The average marks obtained by 40 students in an examination is 70. Later it was discovered that a score of 83 was misread as 38. What is the correct corrected average of the class?
(a) 70.875 (b) 71.125 ✓ (c) 71.5 (d) 72.0
Q34: If a + b + c = 12 and ab + bc + ca = 47, what is the value of a^2 + b^2 + c^2?
(a) 46 (b) 50 (c) 52 ✓ (d) 58
Q35: In a code language, if “FLOWER” is written as “GMNXFS”, how is “GARDEN” written in that language?
(a) HBSEFO ✓ (b) HBREFO (c) GBSFEO (d) HBSFEP
Q36: The diagonal of a square field is 20√2 meters. What is the total perimeter of the field?
(a) 40 meters (b) 60 meters (c) 80 meters ✓ (d) 100 meters
Q37: A bag contains 4 red, 5 green, and 3 blue balls. If two balls are drawn at random without replacement, what is the probability that both balls are of different colors?
(a) 37/66 (b) 47/66 ✓ (c) 51/66 (d) 59/66
Q38: If 3^x = 9^y = 27^z and xyz = 288, what is the exact value of 1/(2x) + 1/(4y) + 1/(6z)?
(a) 11/12 (b) 13/24 (c) 11/24 ✓ (d) 5/12
Q39: A clock strikes 6 times in 5 seconds. How many seconds will it take to strike 12 times?
(a) 10 seconds (b) 11 seconds ✓ (c) 12 seconds (d) 13.2 seconds
Q40: What is the remainder when the polynomial x^3 – 3x^2 + 4x – 5 is divided by (x – 2)?
(a) -1 (b) 0 (c) 3 ✓ (d) 7
Q41: In an election between two candidates, 10% of the registered voters did not cast their votes. 60% of the cast votes were polled in favor of the winning candidate, who won by a majority of 720 votes. What is the total number of registered voters?
(a) 5000 (b) 6000 ✓ (c) 7500 (d) 8000
Q42: Find the missing term in the letter series: AZ, CX, EV, GT, ?
(a) IR ✓ (b) IS (c) JR (d) HS
Q43: If the radius of a right circular cylinder is decreased by 20% while its height is increased by 20%, what is the net percentage change in its volume?
(a) -15.2% (b) -22.88% ✓ (c) -25.4% (d) -30.0%
Q44: A person walks 10 km towards North, turns right and walks 12 km, turns right again and walks 7 km, and finally turns left and walks 3 km. How far and in which direction is he from his starting point?
(a) 15 km North-East (b) 15 km North-West (c) 15 km East ✓ (d) 12 km North-East
Q45: If log_10 2 = 0.3010 and log_10 3 = 0.4771, what is the value of log_10 360?
(a) 2.5563 ✓ (b) 2.3010 (c) 2.7781 (d) 3.1245
Q46: Three numbers are in the ratio 2 : 3 : 5 and the sum of their cubes is 27500. What is the middle number?
(a) 15 ✓ (b) 20 (c) 25 (d) 30
Q47: If x = (√5 + 1) / (√5 – 1) and y = (√5 – 1) / (√5 + 1), what is the value of x^2 + xy + y^2?
(a) 13 (b) 15 (c) 17 ✓ (d) 19
Q48: A box contains 3 white, 4 black, and 5 red marbles. Three marbles are drawn successively without replacement. What is the probability that they are drawn in the order white, black, and red?
(a) 1/22 ✓ (b) 1/33 (c) 3/44 (d) 5/66
Q49: If x + y + z = 0, what is the simplified value of x^2/(yz) + y^2/(zx) + z^2/(xy)?
(a) 0 (b) 1 (c) 3 ✓ (d) -3
Q50: A solid metallic sphere of radius 6 cm is melted and recast into a conical solid of height 24 cm. What is the radius of the base of the cone?
(a) 3 cm (b) 6 cm ✓ (c) 9 cm (d) 12 cm
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