Pakistan Rangers Sepoy Test cheat sheet

Parts of speech: noun (person/place/thing), pronoun (replaces noun), verb (action/state), adjective (describes noun), adverb (describes verb/adjective), preposition (shows relation: in, on, at), conjunction (joins: and, but, because), interjection (exclamation).

Tenses: present simple (habit/fact), present continuous (am/is/are + -ing), present perfect (has/have + past participle), past simple (finished action), past continuous (was/were + -ing), future with will or going to.

Subject-verb agreement: singular subject takes singular verb (He goes); plural subject takes plural verb (They go); 'each, every, everyone, nobody' take singular verbs.

Articles: 'a' before consonant sounds, 'an' before vowel sounds (an hour, a university), 'the' for specific or already-mentioned nouns.

Active to passive: object becomes subject + correct form of 'be' + past participle (Ali writes a letter → A letter is written by Ali).

Direct to indirect speech: change pronouns to match reporter, shift tense back one step, change time words (now→then, today→that day, tomorrow→the next day).

Prepositions of time: 'in' for months/years, 'on' for days/dates, 'at' for clock times (at 5 pm, on Monday, in July).

Common confusions: its (possession) vs it's (it is); their (possession) vs there (place) vs they're (they are); affect (verb) vs effect (noun).

Synonyms/antonyms and one-word substitutions are frequent question types: e.g. 'brave' = courageous, opposite of 'ancient' = modern.

Pakistan gained independence on 14 August 1947 under the Indian Independence Act 1947; Muhammad Ali Jinnah was the first Governor-General.

Lahore Resolution (Pakistan Resolution) was passed on 23 March 1940 at Minto Park, Lahore; Allama Iqbal's Allahabad Address was delivered in 1930.

Pakistan's first constitution was enforced in 1956; the current constitution dates from 1973 and is parliamentary federal in form.

National symbols: national animal markhor, national bird chukar partridge, national tree deodar, national flower jasmine, national language Urdu.

Provinces: Punjab (Lahore), Sindh (Karachi), Khyber Pakhtunkhwa (Peshawar), Balochistan (Quetta); Islamabad Capital Territory is the federal capital.

Rivers of Pakistan: Indus (longest), Jhelum, Chenab, Ravi, Sutlej, Kabul; the Indus Waters Treaty was signed in 1960 with India.

Neighbours: India (east), China (north-east), Afghanistan (north-west), Iran (south-west); Arabian Sea lies to the south.

Highest peak K2 (8,611 m) in the Karakoram range; Thar Desert lies in south-east Sindh; Khewra is a famous salt mine.

Five pillars of Islam: Shahadah (declaration of faith), Salah (five daily prayers), Sawm (fasting in Ramadan), Zakat (obligatory charity), Hajj (pilgrimage to Makkah).

Quran has 114 surahs; the first revealed surahs were from Surah Al-Alaq; the longest surah is Al-Baqarah and the shortest is Al-Kawthar.

Salah timings: Fajr, Zuhr, Asr, Maghrib, Isha; Friday congregational prayer is Jumu'ah, offered instead of Zuhr.

Zakat rate is 2.5 percent (1/40) on qualifying wealth held for one lunar year above the nisab threshold.

Hajj is performed in Dhul Hijjah; key rites include Ihram, Tawaf of the Kaaba, Sa'i between Safa and Marwa, and standing at Arafat on 9 Dhul Hijjah.

Prophets: Adam was the first, Muhammad (PBUH) the last; the Quran names 25 prophets, including Ibrahim, Musa, Isa and Nuh.

Kalimah Tayyibah: 'La ilaha illallah Muhammadur Rasulullah' - there is no god but Allah and Muhammad is His Messenger.

Angels and books: Jibril brought revelation; revealed books include Tawrat (Musa), Zabur (Dawud), Injil (Isa) and the Quran (Muhammad).

Percentage: part = (percent/100) × whole; to find what percent A is of B, compute (A/B) × 100.

Average (mean) = sum of values ÷ number of values; for evenly spaced numbers it equals (first + last) ÷ 2.

Ratio and proportion: if a:b = c:d then ad = bc; divide a total T in ratio a:b as T×a/(a+b) and T×b/(a+b).

Profit/loss percent is always calculated on cost price: profit% = (SP − CP)/CP × 100.

Simple interest = (Principal × Rate × Time)/100; time must be in years and rate as a percent per annum.

Speed = distance ÷ time; conversions: 1 km/h = 5/18 m/s and 1 m/s = 18/5 km/h.

LCM and HCF: LCM × HCF = product of the two numbers; HCF divides both, LCM is divisible by both.

Area and perimeter: rectangle area = l×w, perimeter = 2(l+w); circle area = πr², circumference = 2πr; triangle area = ½ × base × height.

Order of operations (BODMAS): Brackets, Of/Orders, Division, Multiplication, Addition, Subtraction - work left to right within the same level.

Water boils at 100 °C at sea level and freezes at 0 °C; the human normal body temperature is about 37 °C (98.6 °F).

Photosynthesis: green plants use sunlight, CO2 and water to make glucose and release oxygen; chlorophyll in chloroplasts absorbs light.

Human body: adult has 206 bones; heart has four chambers; lungs exchange oxygen and carbon dioxide; blood groups are A, B, AB and O.

Chemical symbols: H hydrogen, O oxygen, N nitrogen, C carbon, Na sodium, K potassium, Fe iron, Ca calcium, Au gold, Ag silver.

Newton's laws: an object stays at rest or in uniform motion unless acted on by a force; F = ma; every action has an equal and opposite reaction.

Electricity: current is measured in amperes, voltage in volts, resistance in ohms; Ohm's law states V = IR.

Solar system order from the Sun: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.

Vitamins: A for vision, B-complex for energy metabolism, C for immunity and scurvy prevention, D for calcium absorption and bones, K for blood clotting.

Pakistan's administrative structure: federal government, four provinces, Islamabad Capital Territory, and territories of Gilgit-Baltistan and Azad Jammu and Kashmir.

Pakistan is a nuclear-armed state; it conducted nuclear tests at Chagai, Balochistan, on 28 May 1998.

Pakistan joined the Shanghai Cooperation Organisation as a full member in 2017; it is a member of SAARC, OIC and the United Nations.

CPEC (China-Pakistan Economic Corridor) links Gwadar port in Balochistan to Kashgar in China and is part of the Belt and Road Initiative.

United Nations was founded in 1945 with headquarters in New York; its principal organs include the General Assembly and Security Council.

SAARC has eight member states: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.

Pakistan's currency is the rupee (PKR); the State Bank of Pakistan, established in 1948, is the central bank.

International days frequently asked: Human Rights Day 10 December, UN Day 24 October, Pakistan Day 23 March, Defence Day 6 September.

Number series: check differences first (constant, increasing, or alternating); then ratios; then squares/cubes (1, 4, 9, 16 or 1, 8, 27, 64).

Alphabet positions: A=1 to Z=26; EJOTY (E=5, J=10, O=15, T=20, Y=25) helps locate letters quickly.

Odd-one-out: look for the shared property (all prime, all even, all capitals, all units) and pick the item that breaks it.

Analogy A : B :: C : ? - identify the relation (part-to-whole, synonym, cause-effect, worker-tool) and apply it to C.

Coding-decoding: letter-shift codes (each letter moved +1, −2), reverse-alphabet codes (A↔Z, B↔Y), and number-letter substitutions.

Direction sense: draw a sketch; North up, South down, East right, West left; a right turn from North faces East.

Blood relations: draw a family tree; paternal = father's side, maternal = mother's side; 'only son of my mother' is the speaker himself.

Series of letters/figures: track two alternating sequences separately (e.g. odd positions follow one rule, even positions another).

Ranking: if A is 5th from left and 8th from right in a row, total = 5 + 8 − 1 = 12.

Height and chest measurement are checked at recruitment; minimum standards differ by post and are announced in the official advertisement, so verify the current figures before applying.

Running and endurance tests commonly include a timed run (for example 1.6 km) plus push-ups, sit-ups and chin-ups; qualifying counts and times are set per recruitment cycle.

BMI = weight in kg ÷ (height in metres)²; a normal adult BMI range is about 18.5 to 24.9.

Vision standards usually require good uncorrected or corrected acuity and normal colour vision; colour blindness is commonly disqualifying for uniformed posts.

Common medical rejection grounds: flat feet, knock knees, severe varicose veins, hearing loss, chronic asthma, epilepsy, and active skin or infectious disease.

Chest expansion is measured as the difference between full inspiration and full expiration; both minimum chest size and expansion are usually specified.

Vital signs for a healthy adult at rest: pulse 60–100 beats/min, blood pressure around 120/80 mmHg, respiratory rate 12–20 breaths/min.

Physical preparation principle: progressive overload with rest days, hydration, and no performance-enhancing substances - doping and drug use are disqualifying.

Parts of speech: noun (person/place/thing), pronoun (replaces noun), verb (action/state), adjective (describes noun), adverb (describes verb/adjective), preposition (shows relation: in, on, at), conjunction (joins: and, but, because), interjection (exclamation).

Tenses: present simple (habit/fact), present continuous (am/is/are + -ing), present perfect (has/have + past participle), past simple (finished action), past continuous (was/were + -ing), future with will or going to.

Subject-verb agreement: singular subject takes singular verb (He goes); plural subject takes plural verb (They go); 'each, every, everyone, nobody' take singular verbs.

Articles: 'a' before consonant sounds, 'an' before vowel sounds (an hour, a university), 'the' for specific or already-mentioned nouns.

Active to passive: object becomes subject + correct form of 'be' + past participle (Ali writes a letter → A letter is written by Ali).

Direct to indirect speech: change pronouns to match reporter, shift tense back one step, change time words (now→then, today→that day, tomorrow→the next day).

Prepositions of time: 'in' for months/years, 'on' for days/dates, 'at' for clock times (at 5 pm, on Monday, in July).

Common confusions: its (possession) vs it's (it is); their (possession) vs there (place) vs they're (they are); affect (verb) vs effect (noun).

Synonyms/antonyms and one-word substitutions are frequent question types: e.g. 'brave' = courageous, opposite of 'ancient' = modern.

Pakistan gained independence on 14 August 1947 under the Indian Independence Act 1947; Muhammad Ali Jinnah was the first Governor-General.

Lahore Resolution (Pakistan Resolution) was passed on 23 March 1940 at Minto Park, Lahore; Allama Iqbal's Allahabad Address was delivered in 1930.

Pakistan's first constitution was enforced in 1956; the current constitution dates from 1973 and is parliamentary federal in form.

National symbols: national animal markhor, national bird chukar partridge, national tree deodar, national flower jasmine, national language Urdu.

Provinces: Punjab (Lahore), Sindh (Karachi), Khyber Pakhtunkhwa (Peshawar), Balochistan (Quetta); Islamabad Capital Territory is the federal capital.

Rivers of Pakistan: Indus (longest), Jhelum, Chenab, Ravi, Sutlej, Kabul; the Indus Waters Treaty was signed in 1960 with India.

Neighbours: India (east), China (north-east), Afghanistan (north-west), Iran (south-west); Arabian Sea lies to the south.

Highest peak K2 (8,611 m) in the Karakoram range; Thar Desert lies in south-east Sindh; Khewra is a famous salt mine.

Five pillars of Islam: Shahadah (declaration of faith), Salah (five daily prayers), Sawm (fasting in Ramadan), Zakat (obligatory charity), Hajj (pilgrimage to Makkah).

Quran has 114 surahs; the first revealed surahs were from Surah Al-Alaq; the longest surah is Al-Baqarah and the shortest is Al-Kawthar.

Salah timings: Fajr, Zuhr, Asr, Maghrib, Isha; Friday congregational prayer is Jumu'ah, offered instead of Zuhr.

Zakat rate is 2.5 percent (1/40) on qualifying wealth held for one lunar year above the nisab threshold.

Hajj is performed in Dhul Hijjah; key rites include Ihram, Tawaf of the Kaaba, Sa'i between Safa and Marwa, and standing at Arafat on 9 Dhul Hijjah.

Prophets: Adam was the first, Muhammad (PBUH) the last; the Quran names 25 prophets, including Ibrahim, Musa, Isa and Nuh.

Kalimah Tayyibah: 'La ilaha illallah Muhammadur Rasulullah' - there is no god but Allah and Muhammad is His Messenger.

Angels and books: Jibril brought revelation; revealed books include Tawrat (Musa), Zabur (Dawud), Injil (Isa) and the Quran (Muhammad).

Percentage: part = (percent/100) × whole; to find what percent A is of B, compute (A/B) × 100.

Average (mean) = sum of values ÷ number of values; for evenly spaced numbers it equals (first + last) ÷ 2.

Ratio and proportion: if a:b = c:d then ad = bc; divide a total T in ratio a:b as T×a/(a+b) and T×b/(a+b).

Profit/loss percent is always calculated on cost price: profit% = (SP − CP)/CP × 100.

Simple interest = (Principal × Rate × Time)/100; time must be in years and rate as a percent per annum.

Speed = distance ÷ time; conversions: 1 km/h = 5/18 m/s and 1 m/s = 18/5 km/h.

LCM and HCF: LCM × HCF = product of the two numbers; HCF divides both, LCM is divisible by both.

Area and perimeter: rectangle area = l×w, perimeter = 2(l+w); circle area = πr², circumference = 2πr; triangle area = ½ × base × height.

Order of operations (BODMAS): Brackets, Of/Orders, Division, Multiplication, Addition, Subtraction - work left to right within the same level.

Water boils at 100 °C at sea level and freezes at 0 °C; the human normal body temperature is about 37 °C (98.6 °F).

Photosynthesis: green plants use sunlight, CO2 and water to make glucose and release oxygen; chlorophyll in chloroplasts absorbs light.

Human body: adult has 206 bones; heart has four chambers; lungs exchange oxygen and carbon dioxide; blood groups are A, B, AB and O.

Chemical symbols: H hydrogen, O oxygen, N nitrogen, C carbon, Na sodium, K potassium, Fe iron, Ca calcium, Au gold, Ag silver.

Newton's laws: an object stays at rest or in uniform motion unless acted on by a force; F = ma; every action has an equal and opposite reaction.

Electricity: current is measured in amperes, voltage in volts, resistance in ohms; Ohm's law states V = IR.

Solar system order from the Sun: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.

Vitamins: A for vision, B-complex for energy metabolism, C for immunity and scurvy prevention, D for calcium absorption and bones, K for blood clotting.

Pakistan's administrative structure: federal government, four provinces, Islamabad Capital Territory, and territories of Gilgit-Baltistan and Azad Jammu and Kashmir.

Pakistan is a nuclear-armed state; it conducted nuclear tests at Chagai, Balochistan, on 28 May 1998.

Pakistan joined the Shanghai Cooperation Organisation as a full member in 2017; it is a member of SAARC, OIC and the United Nations.

CPEC (China-Pakistan Economic Corridor) links Gwadar port in Balochistan to Kashgar in China and is part of the Belt and Road Initiative.

United Nations was founded in 1945 with headquarters in New York; its principal organs include the General Assembly and Security Council.

SAARC has eight member states: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.

Pakistan's currency is the rupee (PKR); the State Bank of Pakistan, established in 1948, is the central bank.

International days frequently asked: Human Rights Day 10 December, UN Day 24 October, Pakistan Day 23 March, Defence Day 6 September.

Number series: check differences first (constant, increasing, or alternating); then ratios; then squares/cubes (1, 4, 9, 16 or 1, 8, 27, 64).

Alphabet positions: A=1 to Z=26; EJOTY (E=5, J=10, O=15, T=20, Y=25) helps locate letters quickly.

Odd-one-out: look for the shared property (all prime, all even, all capitals, all units) and pick the item that breaks it.

Analogy A : B :: C : ? - identify the relation (part-to-whole, synonym, cause-effect, worker-tool) and apply it to C.

Coding-decoding: letter-shift codes (each letter moved +1, −2), reverse-alphabet codes (A↔Z, B↔Y), and number-letter substitutions.

Direction sense: draw a sketch; North up, South down, East right, West left; a right turn from North faces East.

Blood relations: draw a family tree; paternal = father's side, maternal = mother's side; 'only son of my mother' is the speaker himself.

Series of letters/figures: track two alternating sequences separately (e.g. odd positions follow one rule, even positions another).

Ranking: if A is 5th from left and 8th from right in a row, total = 5 + 8 − 1 = 12.

Height and chest measurement are checked at recruitment; minimum standards differ by post and are announced in the official advertisement, so verify the current figures before applying.

Running and endurance tests commonly include a timed run (for example 1.6 km) plus push-ups, sit-ups and chin-ups; qualifying counts and times are set per recruitment cycle.

BMI = weight in kg ÷ (height in metres)²; a normal adult BMI range is about 18.5 to 24.9.

Vision standards usually require good uncorrected or corrected acuity and normal colour vision; colour blindness is commonly disqualifying for uniformed posts.

Common medical rejection grounds: flat feet, knock knees, severe varicose veins, hearing loss, chronic asthma, epilepsy, and active skin or infectious disease.

Chest expansion is measured as the difference between full inspiration and full expiration; both minimum chest size and expansion are usually specified.

Vital signs for a healthy adult at rest: pulse 60–100 beats/min, blood pressure around 120/80 mmHg, respiratory rate 12–20 breaths/min.

Physical preparation principle: progressive overload with rest days, hydration, and no performance-enhancing substances - doping and drug use are disqualifying.

Parts of speech: noun (person/place/thing), pronoun (replaces noun), verb (action/state), adjective (describes noun), adverb (describes verb/adjective), preposition (shows relation: in, on, at), conjunction (joins: and, but, because), interjection (exclamation).

Tenses: present simple (habit/fact), present continuous (am/is/are + -ing), present perfect (has/have + past participle), past simple (finished action), past continuous (was/were + -ing), future with will or going to.

Subject-verb agreement: singular subject takes singular verb (He goes); plural subject takes plural verb (They go); 'each, every, everyone, nobody' take singular verbs.

Articles: 'a' before consonant sounds, 'an' before vowel sounds (an hour, a university), 'the' for specific or already-mentioned nouns.

Active to passive: object becomes subject + correct form of 'be' + past participle (Ali writes a letter → A letter is written by Ali).

Direct to indirect speech: change pronouns to match reporter, shift tense back one step, change time words (now→then, today→that day, tomorrow→the next day).

Prepositions of time: 'in' for months/years, 'on' for days/dates, 'at' for clock times (at 5 pm, on Monday, in July).

Common confusions: its (possession) vs it's (it is); their (possession) vs there (place) vs they're (they are); affect (verb) vs effect (noun).

Synonyms/antonyms and one-word substitutions are frequent question types: e.g. 'brave' = courageous, opposite of 'ancient' = modern.

Pakistan gained independence on 14 August 1947 under the Indian Independence Act 1947; Muhammad Ali Jinnah was the first Governor-General.

Lahore Resolution (Pakistan Resolution) was passed on 23 March 1940 at Minto Park, Lahore; Allama Iqbal's Allahabad Address was delivered in 1930.

Pakistan's first constitution was enforced in 1956; the current constitution dates from 1973 and is parliamentary federal in form.

National symbols: national animal markhor, national bird chukar partridge, national tree deodar, national flower jasmine, national language Urdu.

Provinces: Punjab (Lahore), Sindh (Karachi), Khyber Pakhtunkhwa (Peshawar), Balochistan (Quetta); Islamabad Capital Territory is the federal capital.

Rivers of Pakistan: Indus (longest), Jhelum, Chenab, Ravi, Sutlej, Kabul; the Indus Waters Treaty was signed in 1960 with India.

Neighbours: India (east), China (north-east), Afghanistan (north-west), Iran (south-west); Arabian Sea lies to the south.

Highest peak K2 (8,611 m) in the Karakoram range; Thar Desert lies in south-east Sindh; Khewra is a famous salt mine.

Five pillars of Islam: Shahadah (declaration of faith), Salah (five daily prayers), Sawm (fasting in Ramadan), Zakat (obligatory charity), Hajj (pilgrimage to Makkah).

Quran has 114 surahs; the first revealed surahs were from Surah Al-Alaq; the longest surah is Al-Baqarah and the shortest is Al-Kawthar.

Salah timings: Fajr, Zuhr, Asr, Maghrib, Isha; Friday congregational prayer is Jumu'ah, offered instead of Zuhr.

Zakat rate is 2.5 percent (1/40) on qualifying wealth held for one lunar year above the nisab threshold.

Hajj is performed in Dhul Hijjah; key rites include Ihram, Tawaf of the Kaaba, Sa'i between Safa and Marwa, and standing at Arafat on 9 Dhul Hijjah.

Prophets: Adam was the first, Muhammad (PBUH) the last; the Quran names 25 prophets, including Ibrahim, Musa, Isa and Nuh.

Kalimah Tayyibah: 'La ilaha illallah Muhammadur Rasulullah' - there is no god but Allah and Muhammad is His Messenger.

Angels and books: Jibril brought revelation; revealed books include Tawrat (Musa), Zabur (Dawud), Injil (Isa) and the Quran (Muhammad).

Percentage: part = (percent/100) × whole; to find what percent A is of B, compute (A/B) × 100.

Average (mean) = sum of values ÷ number of values; for evenly spaced numbers it equals (first + last) ÷ 2.

Ratio and proportion: if a:b = c:d then ad = bc; divide a total T in ratio a:b as T×a/(a+b) and T×b/(a+b).

Profit/loss percent is always calculated on cost price: profit% = (SP − CP)/CP × 100.

Simple interest = (Principal × Rate × Time)/100; time must be in years and rate as a percent per annum.

Speed = distance ÷ time; conversions: 1 km/h = 5/18 m/s and 1 m/s = 18/5 km/h.

LCM and HCF: LCM × HCF = product of the two numbers; HCF divides both, LCM is divisible by both.

Area and perimeter: rectangle area = l×w, perimeter = 2(l+w); circle area = πr², circumference = 2πr; triangle area = ½ × base × height.

Order of operations (BODMAS): Brackets, Of/Orders, Division, Multiplication, Addition, Subtraction - work left to right within the same level.

Water boils at 100 °C at sea level and freezes at 0 °C; the human normal body temperature is about 37 °C (98.6 °F).

Photosynthesis: green plants use sunlight, CO2 and water to make glucose and release oxygen; chlorophyll in chloroplasts absorbs light.

Human body: adult has 206 bones; heart has four chambers; lungs exchange oxygen and carbon dioxide; blood groups are A, B, AB and O.

Chemical symbols: H hydrogen, O oxygen, N nitrogen, C carbon, Na sodium, K potassium, Fe iron, Ca calcium, Au gold, Ag silver.

Newton's laws: an object stays at rest or in uniform motion unless acted on by a force; F = ma; every action has an equal and opposite reaction.

Electricity: current is measured in amperes, voltage in volts, resistance in ohms; Ohm's law states V = IR.

Solar system order from the Sun: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.

Vitamins: A for vision, B-complex for energy metabolism, C for immunity and scurvy prevention, D for calcium absorption and bones, K for blood clotting.

Pakistan's administrative structure: federal government, four provinces, Islamabad Capital Territory, and territories of Gilgit-Baltistan and Azad Jammu and Kashmir.

Pakistan is a nuclear-armed state; it conducted nuclear tests at Chagai, Balochistan, on 28 May 1998.

Pakistan joined the Shanghai Cooperation Organisation as a full member in 2017; it is a member of SAARC, OIC and the United Nations.

CPEC (China-Pakistan Economic Corridor) links Gwadar port in Balochistan to Kashgar in China and is part of the Belt and Road Initiative.

United Nations was founded in 1945 with headquarters in New York; its principal organs include the General Assembly and Security Council.

SAARC has eight member states: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.

Pakistan's currency is the rupee (PKR); the State Bank of Pakistan, established in 1948, is the central bank.

International days frequently asked: Human Rights Day 10 December, UN Day 24 October, Pakistan Day 23 March, Defence Day 6 September.

Number series: check differences first (constant, increasing, or alternating); then ratios; then squares/cubes (1, 4, 9, 16 or 1, 8, 27, 64).

Alphabet positions: A=1 to Z=26; EJOTY (E=5, J=10, O=15, T=20, Y=25) helps locate letters quickly.

Odd-one-out: look for the shared property (all prime, all even, all capitals, all units) and pick the item that breaks it.

Analogy A : B :: C : ? - identify the relation (part-to-whole, synonym, cause-effect, worker-tool) and apply it to C.

Coding-decoding: letter-shift codes (each letter moved +1, −2), reverse-alphabet codes (A↔Z, B↔Y), and number-letter substitutions.

Direction sense: draw a sketch; North up, South down, East right, West left; a right turn from North faces East.

Blood relations: draw a family tree; paternal = father's side, maternal = mother's side; 'only son of my mother' is the speaker himself.

Series of letters/figures: track two alternating sequences separately (e.g. odd positions follow one rule, even positions another).

Ranking: if A is 5th from left and 8th from right in a row, total = 5 + 8 − 1 = 12.

Height and chest measurement are checked at recruitment; minimum standards differ by post and are announced in the official advertisement, so verify the current figures before applying.

Running and endurance tests commonly include a timed run (for example 1.6 km) plus push-ups, sit-ups and chin-ups; qualifying counts and times are set per recruitment cycle.

BMI = weight in kg ÷ (height in metres)²; a normal adult BMI range is about 18.5 to 24.9.

Vision standards usually require good uncorrected or corrected acuity and normal colour vision; colour blindness is commonly disqualifying for uniformed posts.

Common medical rejection grounds: flat feet, knock knees, severe varicose veins, hearing loss, chronic asthma, epilepsy, and active skin or infectious disease.

Chest expansion is measured as the difference between full inspiration and full expiration; both minimum chest size and expansion are usually specified.

Vital signs for a healthy adult at rest: pulse 60–100 beats/min, blood pressure around 120/80 mmHg, respiratory rate 12–20 breaths/min.

Physical preparation principle: progressive overload with rest days, hydration, and no performance-enhancing substances - doping and drug use are disqualifying.

Parts of speech: noun (person/place/thing), pronoun (replaces noun), verb (action/state), adjective (describes noun), adverb (describes verb/adjective), preposition (shows relation: in, on, at), conjunction (joins: and, but, because), interjection (exclamation).

Tenses: present simple (habit/fact), present continuous (am/is/are + -ing), present perfect (has/have + past participle), past simple (finished action), past continuous (was/were + -ing), future with will or going to.

Subject-verb agreement: singular subject takes singular verb (He goes); plural subject takes plural verb (They go); 'each, every, everyone, nobody' take singular verbs.

Articles: 'a' before consonant sounds, 'an' before vowel sounds (an hour, a university), 'the' for specific or already-mentioned nouns.

Active to passive: object becomes subject + correct form of 'be' + past participle (Ali writes a letter → A letter is written by Ali).

Direct to indirect speech: change pronouns to match reporter, shift tense back one step, change time words (now→then, today→that day, tomorrow→the next day).

Prepositions of time: 'in' for months/years, 'on' for days/dates, 'at' for clock times (at 5 pm, on Monday, in July).

Common confusions: its (possession) vs it's (it is); their (possession) vs there (place) vs they're (they are); affect (verb) vs effect (noun).

Synonyms/antonyms and one-word substitutions are frequent question types: e.g. 'brave' = courageous, opposite of 'ancient' = modern.

Pakistan gained independence on 14 August 1947 under the Indian Independence Act 1947; Muhammad Ali Jinnah was the first Governor-General.

Lahore Resolution (Pakistan Resolution) was passed on 23 March 1940 at Minto Park, Lahore; Allama Iqbal's Allahabad Address was delivered in 1930.

Pakistan's first constitution was enforced in 1956; the current constitution dates from 1973 and is parliamentary federal in form.

National symbols: national animal markhor, national bird chukar partridge, national tree deodar, national flower jasmine, national language Urdu.

Provinces: Punjab (Lahore), Sindh (Karachi), Khyber Pakhtunkhwa (Peshawar), Balochistan (Quetta); Islamabad Capital Territory is the federal capital.

Rivers of Pakistan: Indus (longest), Jhelum, Chenab, Ravi, Sutlej, Kabul; the Indus Waters Treaty was signed in 1960 with India.

Neighbours: India (east), China (north-east), Afghanistan (north-west), Iran (south-west); Arabian Sea lies to the south.

Highest peak K2 (8,611 m) in the Karakoram range; Thar Desert lies in south-east Sindh; Khewra is a famous salt mine.

Five pillars of Islam: Shahadah (declaration of faith), Salah (five daily prayers), Sawm (fasting in Ramadan), Zakat (obligatory charity), Hajj (pilgrimage to Makkah).

Quran has 114 surahs; the first revealed surahs were from Surah Al-Alaq; the longest surah is Al-Baqarah and the shortest is Al-Kawthar.

Salah timings: Fajr, Zuhr, Asr, Maghrib, Isha; Friday congregational prayer is Jumu'ah, offered instead of Zuhr.

Zakat rate is 2.5 percent (1/40) on qualifying wealth held for one lunar year above the nisab threshold.

Hajj is performed in Dhul Hijjah; key rites include Ihram, Tawaf of the Kaaba, Sa'i between Safa and Marwa, and standing at Arafat on 9 Dhul Hijjah.

Prophets: Adam was the first, Muhammad (PBUH) the last; the Quran names 25 prophets, including Ibrahim, Musa, Isa and Nuh.

Kalimah Tayyibah: 'La ilaha illallah Muhammadur Rasulullah' - there is no god but Allah and Muhammad is His Messenger.

Angels and books: Jibril brought revelation; revealed books include Tawrat (Musa), Zabur (Dawud), Injil (Isa) and the Quran (Muhammad).

Percentage: part = (percent/100) × whole; to find what percent A is of B, compute (A/B) × 100.

Average (mean) = sum of values ÷ number of values; for evenly spaced numbers it equals (first + last) ÷ 2.

Ratio and proportion: if a:b = c:d then ad = bc; divide a total T in ratio a:b as T×a/(a+b) and T×b/(a+b).

Profit/loss percent is always calculated on cost price: profit% = (SP − CP)/CP × 100.

Simple interest = (Principal × Rate × Time)/100; time must be in years and rate as a percent per annum.

Speed = distance ÷ time; conversions: 1 km/h = 5/18 m/s and 1 m/s = 18/5 km/h.

LCM and HCF: LCM × HCF = product of the two numbers; HCF divides both, LCM is divisible by both.

Area and perimeter: rectangle area = l×w, perimeter = 2(l+w); circle area = πr², circumference = 2πr; triangle area = ½ × base × height.

Order of operations (BODMAS): Brackets, Of/Orders, Division, Multiplication, Addition, Subtraction - work left to right within the same level.

Water boils at 100 °C at sea level and freezes at 0 °C; the human normal body temperature is about 37 °C (98.6 °F).

Photosynthesis: green plants use sunlight, CO2 and water to make glucose and release oxygen; chlorophyll in chloroplasts absorbs light.

Human body: adult has 206 bones; heart has four chambers; lungs exchange oxygen and carbon dioxide; blood groups are A, B, AB and O.

Chemical symbols: H hydrogen, O oxygen, N nitrogen, C carbon, Na sodium, K potassium, Fe iron, Ca calcium, Au gold, Ag silver.

Newton's laws: an object stays at rest or in uniform motion unless acted on by a force; F = ma; every action has an equal and opposite reaction.

Electricity: current is measured in amperes, voltage in volts, resistance in ohms; Ohm's law states V = IR.

Solar system order from the Sun: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.

Vitamins: A for vision, B-complex for energy metabolism, C for immunity and scurvy prevention, D for calcium absorption and bones, K for blood clotting.

Pakistan's administrative structure: federal government, four provinces, Islamabad Capital Territory, and territories of Gilgit-Baltistan and Azad Jammu and Kashmir.

Pakistan is a nuclear-armed state; it conducted nuclear tests at Chagai, Balochistan, on 28 May 1998.

Pakistan joined the Shanghai Cooperation Organisation as a full member in 2017; it is a member of SAARC, OIC and the United Nations.

CPEC (China-Pakistan Economic Corridor) links Gwadar port in Balochistan to Kashgar in China and is part of the Belt and Road Initiative.

United Nations was founded in 1945 with headquarters in New York; its principal organs include the General Assembly and Security Council.

SAARC has eight member states: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.

Pakistan's currency is the rupee (PKR); the State Bank of Pakistan, established in 1948, is the central bank.

International days frequently asked: Human Rights Day 10 December, UN Day 24 October, Pakistan Day 23 March, Defence Day 6 September.

Number series: check differences first (constant, increasing, or alternating); then ratios; then squares/cubes (1, 4, 9, 16 or 1, 8, 27, 64).

Alphabet positions: A=1 to Z=26; EJOTY (E=5, J=10, O=15, T=20, Y=25) helps locate letters quickly.

Odd-one-out: look for the shared property (all prime, all even, all capitals, all units) and pick the item that breaks it.

Analogy A : B :: C : ? - identify the relation (part-to-whole, synonym, cause-effect, worker-tool) and apply it to C.

Coding-decoding: letter-shift codes (each letter moved +1, −2), reverse-alphabet codes (A↔Z, B↔Y), and number-letter substitutions.

Direction sense: draw a sketch; North up, South down, East right, West left; a right turn from North faces East.

Blood relations: draw a family tree; paternal = father's side, maternal = mother's side; 'only son of my mother' is the speaker himself.

Series of letters/figures: track two alternating sequences separately (e.g. odd positions follow one rule, even positions another).

Ranking: if A is 5th from left and 8th from right in a row, total = 5 + 8 − 1 = 12.

Height and chest measurement are checked at recruitment; minimum standards differ by post and are announced in the official advertisement, so verify the current figures before applying.

Running and endurance tests commonly include a timed run (for example 1.6 km) plus push-ups, sit-ups and chin-ups; qualifying counts and times are set per recruitment cycle.

BMI = weight in kg ÷ (height in metres)²; a normal adult BMI range is about 18.5 to 24.9.

Vision standards usually require good uncorrected or corrected acuity and normal colour vision; colour blindness is commonly disqualifying for uniformed posts.

Common medical rejection grounds: flat feet, knock knees, severe varicose veins, hearing loss, chronic asthma, epilepsy, and active skin or infectious disease.

Chest expansion is measured as the difference between full inspiration and full expiration; both minimum chest size and expansion are usually specified.

Vital signs for a healthy adult at rest: pulse 60–100 beats/min, blood pressure around 120/80 mmHg, respiratory rate 12–20 breaths/min.

Physical preparation principle: progressive overload with rest days, hydration, and no performance-enhancing substances - doping and drug use are disqualifying.

Parts of speech: noun (person/place/thing), pronoun (replaces noun), verb (action/state), adjective (describes noun), adverb (describes verb/adjective), preposition (shows relation: in, on, at), conjunction (joins: and, but, because), interjection (exclamation).

Tenses: present simple (habit/fact), present continuous (am/is/are + -ing), present perfect (has/have + past participle), past simple (finished action), past continuous (was/were + -ing), future with will or going to.

Subject-verb agreement: singular subject takes singular verb (He goes); plural subject takes plural verb (They go); 'each, every, everyone, nobody' take singular verbs.

Articles: 'a' before consonant sounds, 'an' before vowel sounds (an hour, a university), 'the' for specific or already-mentioned nouns.

Active to passive: object becomes subject + correct form of 'be' + past participle (Ali writes a letter → A letter is written by Ali).

Direct to indirect speech: change pronouns to match reporter, shift tense back one step, change time words (now→then, today→that day, tomorrow→the next day).

Prepositions of time: 'in' for months/years, 'on' for days/dates, 'at' for clock times (at 5 pm, on Monday, in July).

Common confusions: its (possession) vs it's (it is); their (possession) vs there (place) vs they're (they are); affect (verb) vs effect (noun).

Synonyms/antonyms and one-word substitutions are frequent question types: e.g. 'brave' = courageous, opposite of 'ancient' = modern.

Pakistan gained independence on 14 August 1947 under the Indian Independence Act 1947; Muhammad Ali Jinnah was the first Governor-General.

Lahore Resolution (Pakistan Resolution) was passed on 23 March 1940 at Minto Park, Lahore; Allama Iqbal's Allahabad Address was delivered in 1930.

Pakistan's first constitution was enforced in 1956; the current constitution dates from 1973 and is parliamentary federal in form.

National symbols: national animal markhor, national bird chukar partridge, national tree deodar, national flower jasmine, national language Urdu.

Provinces: Punjab (Lahore), Sindh (Karachi), Khyber Pakhtunkhwa (Peshawar), Balochistan (Quetta); Islamabad Capital Territory is the federal capital.

Rivers of Pakistan: Indus (longest), Jhelum, Chenab, Ravi, Sutlej, Kabul; the Indus Waters Treaty was signed in 1960 with India.

Neighbours: India (east), China (north-east), Afghanistan (north-west), Iran (south-west); Arabian Sea lies to the south.

Highest peak K2 (8,611 m) in the Karakoram range; Thar Desert lies in south-east Sindh; Khewra is a famous salt mine.

Five pillars of Islam: Shahadah (declaration of faith), Salah (five daily prayers), Sawm (fasting in Ramadan), Zakat (obligatory charity), Hajj (pilgrimage to Makkah).

Quran has 114 surahs; the first revealed surahs were from Surah Al-Alaq; the longest surah is Al-Baqarah and the shortest is Al-Kawthar.

Salah timings: Fajr, Zuhr, Asr, Maghrib, Isha; Friday congregational prayer is Jumu'ah, offered instead of Zuhr.

Zakat rate is 2.5 percent (1/40) on qualifying wealth held for one lunar year above the nisab threshold.

Hajj is performed in Dhul Hijjah; key rites include Ihram, Tawaf of the Kaaba, Sa'i between Safa and Marwa, and standing at Arafat on 9 Dhul Hijjah.

Prophets: Adam was the first, Muhammad (PBUH) the last; the Quran names 25 prophets, including Ibrahim, Musa, Isa and Nuh.

Kalimah Tayyibah: 'La ilaha illallah Muhammadur Rasulullah' - there is no god but Allah and Muhammad is His Messenger.

Angels and books: Jibril brought revelation; revealed books include Tawrat (Musa), Zabur (Dawud), Injil (Isa) and the Quran (Muhammad).

Percentage: part = (percent/100) × whole; to find what percent A is of B, compute (A/B) × 100.

Average (mean) = sum of values ÷ number of values; for evenly spaced numbers it equals (first + last) ÷ 2.

Ratio and proportion: if a:b = c:d then ad = bc; divide a total T in ratio a:b as T×a/(a+b) and T×b/(a+b).

Profit/loss percent is always calculated on cost price: profit% = (SP − CP)/CP × 100.

Simple interest = (Principal × Rate × Time)/100; time must be in years and rate as a percent per annum.

Speed = distance ÷ time; conversions: 1 km/h = 5/18 m/s and 1 m/s = 18/5 km/h.

LCM and HCF: LCM × HCF = product of the two numbers; HCF divides both, LCM is divisible by both.

Area and perimeter: rectangle area = l×w, perimeter = 2(l+w); circle area = πr², circumference = 2πr; triangle area = ½ × base × height.

Order of operations (BODMAS): Brackets, Of/Orders, Division, Multiplication, Addition, Subtraction - work left to right within the same level.

Water boils at 100 °C at sea level and freezes at 0 °C; the human normal body temperature is about 37 °C (98.6 °F).

Photosynthesis: green plants use sunlight, CO2 and water to make glucose and release oxygen; chlorophyll in chloroplasts absorbs light.

Human body: adult has 206 bones; heart has four chambers; lungs exchange oxygen and carbon dioxide; blood groups are A, B, AB and O.

Chemical symbols: H hydrogen, O oxygen, N nitrogen, C carbon, Na sodium, K potassium, Fe iron, Ca calcium, Au gold, Ag silver.

Newton's laws: an object stays at rest or in uniform motion unless acted on by a force; F = ma; every action has an equal and opposite reaction.

Electricity: current is measured in amperes, voltage in volts, resistance in ohms; Ohm's law states V = IR.

Solar system order from the Sun: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.

Vitamins: A for vision, B-complex for energy metabolism, C for immunity and scurvy prevention, D for calcium absorption and bones, K for blood clotting.

Pakistan's administrative structure: federal government, four provinces, Islamabad Capital Territory, and territories of Gilgit-Baltistan and Azad Jammu and Kashmir.

Pakistan is a nuclear-armed state; it conducted nuclear tests at Chagai, Balochistan, on 28 May 1998.

Pakistan joined the Shanghai Cooperation Organisation as a full member in 2017; it is a member of SAARC, OIC and the United Nations.

CPEC (China-Pakistan Economic Corridor) links Gwadar port in Balochistan to Kashgar in China and is part of the Belt and Road Initiative.

United Nations was founded in 1945 with headquarters in New York; its principal organs include the General Assembly and Security Council.

SAARC has eight member states: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.

Pakistan's currency is the rupee (PKR); the State Bank of Pakistan, established in 1948, is the central bank.

International days frequently asked: Human Rights Day 10 December, UN Day 24 October, Pakistan Day 23 March, Defence Day 6 September.

Number series: check differences first (constant, increasing, or alternating); then ratios; then squares/cubes (1, 4, 9, 16 or 1, 8, 27, 64).

Alphabet positions: A=1 to Z=26; EJOTY (E=5, J=10, O=15, T=20, Y=25) helps locate letters quickly.

Odd-one-out: look for the shared property (all prime, all even, all capitals, all units) and pick the item that breaks it.

Analogy A : B :: C : ? - identify the relation (part-to-whole, synonym, cause-effect, worker-tool) and apply it to C.

Coding-decoding: letter-shift codes (each letter moved +1, −2), reverse-alphabet codes (A↔Z, B↔Y), and number-letter substitutions.

Direction sense: draw a sketch; North up, South down, East right, West left; a right turn from North faces East.

Blood relations: draw a family tree; paternal = father's side, maternal = mother's side; 'only son of my mother' is the speaker himself.

Series of letters/figures: track two alternating sequences separately (e.g. odd positions follow one rule, even positions another).

Ranking: if A is 5th from left and 8th from right in a row, total = 5 + 8 − 1 = 12.

Height and chest measurement are checked at recruitment; minimum standards differ by post and are announced in the official advertisement, so verify the current figures before applying.

Running and endurance tests commonly include a timed run (for example 1.6 km) plus push-ups, sit-ups and chin-ups; qualifying counts and times are set per recruitment cycle.

BMI = weight in kg ÷ (height in metres)²; a normal adult BMI range is about 18.5 to 24.9.

Vision standards usually require good uncorrected or corrected acuity and normal colour vision; colour blindness is commonly disqualifying for uniformed posts.

Common medical rejection grounds: flat feet, knock knees, severe varicose veins, hearing loss, chronic asthma, epilepsy, and active skin or infectious disease.

Chest expansion is measured as the difference between full inspiration and full expiration; both minimum chest size and expansion are usually specified.

Vital signs for a healthy adult at rest: pulse 60–100 beats/min, blood pressure around 120/80 mmHg, respiratory rate 12–20 breaths/min.

Physical preparation principle: progressive overload with rest days, hydration, and no performance-enhancing substances - doping and drug use are disqualifying.