[0:00]Assalamu Alaikum, I am Muhammad Zain Arshad and I am talking to you from the platform of Pro Genius Student. So, aaj hum discuss karenge first May 2026 ko Pakistan Army ke different recruitment centers ke andar jo 158 PMA long course ke initial test hue hain.
[0:13]Un sab mein kon kon se questions aaye the, kaisa experience raha? Moreover, humne aapko is video ke andar aapke liye iske different portions bana diye hain. Sabse pehle hum discuss karenge Islamic Studies, then General Knowledge, then Current Affairs, then Pakistan History and then English aur Maths ke kuch question hum isme discuss karenge.
[0:30]Iske ilawa, humne is video ke andar different experiences se, past papers se add question ke sath different saat se aath questions aapke liye ready kiye hain taake aapka academic background strong ho sake, aapka interview ke andar aap achi tarah excel kar sake aur agar aapko koi bhi kisi qism ka bhi question aa jaaye to aap usko tackle kar sake.
[0:46]Chaliye shuru karte hain. Question number one hamare paas hai, At what age did Prophet Muhammad (SAW) receive the first Wahi (revelation)?
[0:54]Ke aap sallallahu alaihi wasallam ki kya age thi jab aap sallallahu alaihi wasallam ko first wahi mili? So we have the right answer, option number B, 40 years.
[1:03]Aap sallallahu alaihi wasallam ki age 40 years thi jab aap sallallahu alaihi wasallam ko pehli wahi nazil hui. Iske ilawa aapko kya kya pata hona chahiye? Ki aap sallallahu alaihi wasallam kab paida hue?
[1:12]Toh aapko pata hona chahiye ki aap sallallahu alaihi wasallam 570 CE ke mein paida hue. Aap sallallahu alaihi wasallam pe pehli wahi jaisa ki abhi 158 long course ke andar bhi ek kab aayi toh 40 years ki age mein aayi aur 610 CE mein aayi.
[1:23]Iske ilawa Hijrat to Madinah, aap sallallahu alaihi wasallam ki age kitni thi jab aap sallallahu alaihi wasallam ne Makkah se Madinah ki taraf hijrat ki? Toh aap sallallahu alaihi wasallam ki age thi 53 years.
[1:31]Moreover, aap sallallahu alaihi wasallam ki last Hajj, jisko hum Khutba Hajjatul Wida ya Hajjatul Wida ke naam se bhi yaad karte hain, us time aap sallallahu alaihi wasallam ki age kitni thi? Toh aapne yaad rakhna hai 63 years.
[1:40]Aap sallallahu alaihi wasallam ki death ke time wisale zahiri ke time aap sallallahu alaihi wasallam ki age kitni thi? Toh aapne yaad rakhna hai 63 years.
[1:48]Aur aap sallallahu alaihi wasallam us time konsa saal chal raha tha? Toh aapne yaad rakhna hai 632 CE. Aur aapne iske ilawa yaad rakhna hai ki Nabuuwat ka kitna arsa raha?
[1:56]Toh aapne yaad rakhna hai 23 years, jiske andar 13 saal jo hain wo Makkah ke andar hain jaisa ki abhi humne discuss kiya ki 40 saal ki age ke andar pehli wahi nazil hui. Toh 53 years ki age mein aap sallallahu alaihi wasallam Madinah ki taraf hijrat kar gaye.
[2:06]Toh 13 saal aap sallallahu alaihi wasallam ne Makkah ke andar guzaare, 10 saal Madinah ke andar guzaare. Iske ilawa aapko question aa sakta hai ki aap sallallahu alaihi wasallam ke mother ki death kab hui? Aap sallallahu alaihi wasallam ki age us time kitni thi?
[2:16]Toh aapne yaad rakhna hai aap sallallahu alaihi wasallam 6 years old the. Iske ilawa aap sallallahu alaihi wasallam ke father ki death kab hui? Toh aapne yaad rakhna hai before the birth of Prophet peace be upon him.
[2:25]Aap sallallahu alaihi wasallam ki birth se pehle aap sallallahu alaihi wasallam ke father die kar gaye. Iske ilawa aapko pata hona chahiye ki aapke grandfather Abdul Muttalib unki death kab hui? Toh aapne yaad rakhna hai jab aap sallallahu alaihi wasallam ki age 8 years old thi tab unki death ho gayi.
[2:38]Iske ilawa question number two hamare paas hai, In which Hijri year was the Qibla (direction of prayer) changed from Jerusalem to Makkah?
[2:46]Ke kon se Hijri saal ke andar Qibla ki jo direction thi wo Jerusalem jisko aaj hum Masjid-e-Aqsa ke naam se bhi yaad karte hain, wahan se change hokar Makkah ki taraf uska rukh kar diya gaya. So we have the right answer, option number B, 2 AH (624 CE).
[2:59]2 Hijri wo saal tha jab hamara Qibla jo tha direction of prayer jo thi wo change ho gayi Jerusalem se Makkah ki taraf. Iske ilawa aapko aur bhi iske questions aa sakte hain ki hamare paas jo tha 2 Hijri ke andar jo change hua.
[3:10]Masjid-e-Aqsa se Jerusalem se Kaaba ki taraf jaisa ki 158 long course ke andar bhi ek kab aayi. Surah Al-Baqarah yeh kab reveal hui ya iski konsi aayat ke andar Qibla change ka zikr hua? Toh aapne yaad rakhna hai iske second parah 144 aayat ke andar Qibla change ki jo hai direction ka hukm diya gaya.
[3:29]Iske ilawa aapko question aa sakta hai ki Zakat jo thi kab obligatory kab farz hui? Toh aapne yaad rakhna hai Zakat bhi 2 Hijri ke andar farz hui.
[3:38]Ramadan ki jo fasting thi jo hum Ramadan ke roze rakhte hain yeh kab farz hue? Toh aapne yaad rakhna hai yeh bhi 2 Hijri ke andar farz hue. Ghazwa Badr kab hui? Toh yeh bhi 2 Hijri ke andar hui.
[3:46]Isi tarah Eid-ul-Fitr kab start hui? Jaisa ki Ramadan 2 Hijri mein start hua toh Eid-ul-Fitr bhi 2 Hijri ke andar start hui. Iske ilawa Azhan kab start hui? Toh aapne yaad rakhna hai Azhan first Hijri ko start hui.
[3:56]Aur Salah jisko hum Namaz kehte hain yeh kab start hui? Yeh kab farz hui? Toh aapne yaad rakhna hai jo Namaz hai Salah hai yeh 10 Nabawi year ko jo ki Miraj ki raat thi us raat hum pe farz hui.
[4:07]Aapke paas question number three hai, Which Companion of Prophet Muhammad (SAW) hid with him in the Cave of Thawr (Ghare Sohr) during Hijrat?
[4:16]Ke Hijrat ke dauran aap sallallahu alaihi wasallam ka konsa companion tha jo ki aap sallallahu alaihi wasallam ke sath Cave of Thawr jise hum Ghare Sohr ke naam se bhi jaante hain wo aap sallallahu alaihi wasallam ke sath the.
[4:26]So we have the right answer, option number C, Hazrat Abu Bakr (R.A). Aapko iske related aur bhi question hone chahiye ki yeh aap sallallahu alaihi wasallam ke sath Hazrat Abu Bakr Siddiq (R.A) ne kitni raatein guzaari.
[4:37]Toh aapne yaad rakhna hai Cave of Thawr jisko hum Ghare Sohr bhi kehte hain iske andar Hazrat Abu Bakr Siddiq ne teen raatein guzaari aur yeh kab hua? 622 CE ke andar. Iske ilawa aapko pata hona chahiye ki us raat aur kya hua tha?
[4:47]Toh aapko pata hona chahiye ki Hazrat Ali (R.A) aap sallallahu alaihi wasallam ke bed par soye the taake dushmano ko idea na ho enemies ko idea na ho. Aapki iske ilawa aapko pata hona chahiye ki Hazrat Asma bint Abu Bakr wo kya karti thi?
[5:01]Toh aapne yaad rakhna hai wo khana lekar aati thi Ghare Sohr ke andar aur inko kya kaha jaata hai? Zatt-un-Nitaqain. Inko Zatt-un-Nitaqain ke naam se bhi jaana jaata hai.
[5:10]Iske ilawa aapko pata hona chahiye ki Guide to Hijrat, Hijrat ke liye guide kisne kiya tha? Toh aapko pata hona chahiye ki Abdullah bin Uraiqa Abdullah bin Uraiqa ne Guide bin Hijrat kiya tha.
[5:20]Moreover, aapko Hijrat ka route pata hona chahiye ki Hijrat ka route kya tha? Toh sabse pehle Makkah se nikle, Makkah se nikal ke Cave of Thawr mein gaye, Cave of Thawr mein aap sallallahu alaihi wasallam ne Abu Bakr Siddiq ke sath teen raatein guzaari aur then wahan se Madinah ki taraf chal pade.
[5:33]Aur yeh duration jo thi iski journey ki kitni thi? Toh aapko pata hona chahiye almost 8 days lage the aap sallallahu alaihi wasallam ko Makkah se Madinah Hijrat karte hue.
[5:41]Aapke paas question number four hai, What is the meaning of "Khatam-ul-Nabiyyin" (khaatim-ul-nabiyyeen)?
[5:46]Khatam-ul-Nabiyyin ka meaning kya hai? So we have the right answer, option number B, Seal / Last of the Prophets.
[5:55]Ki Khatam-ul-Nabiyyin ka matlab hai mohar lag gayi. Mohar lag gayi ki aap sallallahu alaihi wasallam ke baad koi bhi Nabi nahi aa sakta. Iske ilawa aapko aur bhi question related question hone chahiye ki Seal of Prophet ya Last Prophet jo hai yeh kiska title hai?
[6:05]Toh aapko pata hona chahiye title of Prophet Muhammad sallallahu alaihi wasallam. Iske ilawa aapko different jo aap sallallahu alaihi wasallam ke titles pata hona chahiye ki Rahmat-ul-Alameen yaani ki Mercy for all worlds bhi aap sallallahu alaihi wasallam ka title hai.
[6:15]Habibullah Beloved of Allah bhi aap sallallahu alaihi wasallam ka title hai. Nabi-ul-Ummi Nabi-ul-Ummi bhi aap sallallahu alaihi wasallam ka title hai. Al-Ameen bhi aap sallallahu alaihi wasallam ka title hai.
[6:24]Al-Sadiq bhi aap sallallahu alaihi wasallam ka title hai. Khair-ul-Bashar aur Ahmad bhi aap sallallahu alaihi wasallam ka title hai. Ahmad jo hai aap sallallahu alaihi wasallam ka dusra naam bhi hai jo ki Surah As-Saff ke andar 61 aayat chehwein paare ke andar aap sallallahu alaihi wasallam Allah Tala ne iska zikr kiya.
[6:37]Question number five hamare paas hai, What is the process called when a Hajj pilgrim shaves head at the end of Hajj?
[6:45]Ke jab Hajj ke akhir mein jo haaji hote hain wo apna sar mundwaate hain apne sir ke baal katwaate hain us process ko kya kaha jaata hai? So we have the right answer, option number D, Halq (for men) / Qasr (trimming for women).
[6:55]Halq aurton ke mardon ke liye Halq kaha jaata hai aur Qasr trimming for women. Jo aurton ke liye hum kya kehte hain Qasr. Aapko iske related aur bhi question hone chahiye ki Halq kya hota hai? Toh aapko pata hona chahiye shaving head ki apne head ko bilkul shave kar lena.
[7:07]Isko kya kehte hain Halq kehte hain aur yeh kisi bhi Hajj ya Umrah ke baad mard karte hain, men karte hain. Isi tarah Qasr kya hota hai? Trimming of hair ki kuch baal kaat lena jo ki aurton ke liye hota hai, mardon ke liye option hota hai.
[7:22]Balke mardon ke liye jo afzaliyat hoti hai wo kya hoti hai? Halq ki. Isi tarah aapko step of Umrah pata hona chahiye ki steps Umrah ke kya kya steps hote hain. Sabse pehle hum Ihram baandhte hain, then hum Tawaf karte hain jo ki saat chakkar hote hain Kaaba ke gird.
[7:32]Then Sa’ee hoti hai jo ki Safa Marwa ke darmiyaan hoti hai, then Halq ya Qasr hota hai jo ki depend karta hai aapke gender ke upar. Uske ilawa aapko Hajj ke step pata hona chahiye ki Hajj ke step kya hote hain.
[7:43]Toh aapko pata hona chahiye ki Mina mein jaate hain sabse pehle, then Arafat ke andar jo 9 Hijri ko jaate hain 9 date ko jaate hain Dhul Hijjah ki, then Muzdalifah mein jaate hain, then Mina mein jaate hain, then Qurbani hoti hai, then Halq hota hai mardon ke liye aur aurton ke liye Qasr hota hai.
[7:58]Then Tawaf-e-Ziyarah hota hai aur then Sa'ee hoti hai. Isi tarah aapko Ihram ka kya scene hota hai? Toh aapko pata hona chahiye ki entering sacred state, white cloth for men, modest dress for women.
[8:09]Ki ek khaas taur pe ek libaas hai jo ki mardon ke liye white cloth hota hai, chaddarein hoti hain jo mard apne upar pehente hain aur aurton ke liye ek modest dress hota hai jo ki hum Hajj ya Umrah ke time pehente hain.
[8:21]Question number six hamare paas hai, How many copies of the standardized Quran did Hazrat Uthman (R.A) prepare and send to provinces?
[8:29]Ke Hazrat Uthman (R.A) ne Quran pak ki kitni copies karwaai aur unko different subon ke andar bheji. So we have the right answer, option number D, 7 copies (some say 4-7).
[8:37]Kuch log kehte hain four, kuch log seven lekin jo authentic hai wo kya hai? Seven copies. Iske ilawa aapko pata hona chahiye ki Hazrat Uthman ne Quran ko standardized kab kiya? Toh aapko pata hona chahiye ki 30 Hijri ke andar.
[8:50]Iski kitni copies gayi? Four to seven copies gayi jo Makkah, Madinah, Basra, Kufa, Syria, Yemen aur Bahrain ke andar aap sallallahu Hazrat Uthman (R.A) ne bheji. Iske ilawa aapko pata hona chahiye ki jo original manuscripts original Quran tha wo kahan par sambhala gaya?
[9:05]Toh yeh Hazrat Hafsa (R.A) ke paas sambhala gaya. Compile kab kisne kiya? Toh aapko pata hona chahiye ki compile Hazrat Abu Bakar ne kiya. Hazrat Zaid bin Thabit ke kaam ke sath Hazrat Zaid bin Thabit ki help ke sath Hazrat Abu Bakar Siddiq ne isko compile kiya.
[9:18]Aur Hazrat Uthman ne kya kiya? Toh aapko pata hona chahiye ki ek museum ke andar isko rakhwa diya taake yeh save ho jaaye aur yeh original jo aaj bhi wahan par pada hua hai. Iske ilawa Hazrat Uthman ka kya title hai Hazrat Uthman ko kis naam se jaana jaata hai? So we have the right answer, Jamia-ul-Quran.
[9:33]Aapko in sab ke related baar baar questions repeat bhi hote hain aur aa bhi sakte hain toh aap in sab ko achi tarah understand karke jaana hai. Ho sake toh copy pencil apne paas rakh le taake aap inko note kar le aur koi bhi question aaye to aap usko yaad kar le aur aapke paper ke andar aapko easy ho sake.
[9:46]Iske ilawa aapko pata hona chahiye ki all other jo jo standardized copies thi un sab ko jala diya gaya. Question number seven hamare paas hai, "Pul-e-Sirat" in Islamic belief refers to?
[9:55]Pul-e-Sirat Islam ke andar kisko refer karte hain? So we have the right answer, option number B, A bridge over Hell - thinner than hair, sharper than sword.
[10:04]Jo ki ek pul hai Jahannum ke upar jo ki baal se zyada bareek aur talwaar se zyada tez hai. Aapko iske related aur bhi question hone chahiye ki Pul-e-Sirat kya hai? Jaisa ki abhi question bhi aaya tha.
[10:13]Jahannum ke upar bridge hai, yahan se har insaan ko guzarna hoga Qayamat ke din. Aapka iske ilawa aur bhi question hone chahiye ki fast believers jo hote hain matlab ki fast believers jo ki Allah Tala pe pukhta yaqeen rakhte hain wo kaise cross karenge? Toh bilkul bijli ki raftaar ki tarah cross kar jayenge.
[10:28]Aur jo weak honge wo bilkul aahista aahista cross karenge aur jo non-believers honge jo ki bilkul believe nahi karte honge wo Jahannum mein gir jayenge. Isi tarah aapko pata hona chahiye ki Islamic life jo hoti hai wo death ke baad uske kya stages hote hain.
[10:40]Toh sabse pehle death aati hai, then Barzakh jo ki qabar ki aati hai, then Qiyamat jo ki Judgment Day hai, then Hisaab Accountability aur then Mizan jo ki hamare paas scale of deed hai jisme hamare amaal ko tola jayega neki aur buraiyon ko, then Pul-e-Sirat jo ki Jannat aur Jahannum ka faisla karegi.
[10:57]Aur then first question hoga Qiyamat ke din wo kya hoga? Iske ilawa aapko pata hona chahiye ki the first question hoga Namaz ka Salah ka.
[11:04]Question number eight hamare paas hai, Who was the foster mother (Doodh Maa) of Prophet Muhammad (SAW)?
[11:11]Ke aap sallallahu alaihi wasallam ki razaai maa ya doodh pilayi maa kon thi? So we have the right answer, option number C, Hazrat Halima Sadia (R.A).
[11:20]Aapko iske related aur bhi question aa sakte hain ki Hazrat Halima Sadia ka talluq kon se qabile se tha? Toh aapko pata hona chahiye she was linked or related to Banu Sa'd tribe. Iske ilawa aapko aur bhi question aa sakte hain ki aap sallallahu alaihi wasallam ke real mother kon thi?
[11:31]Toh she was Hazrat Aminah bint Wahb jo ki kab death hui jab aap sallallahu alaihi wasallam ki age 6 years old thi. Iske ilawa aap sallallahu alaihi wasallam ke father ka pata hona chahiye, who was the father of peace be upon him?
[11:43]So Hazrat Abdullah bin Abdul Muttalib was the father of Hazrat Muhammad peace be upon him aur unki kab death hui? Aap sallallahu alaihi wasallam ki birth se pehle inki death ho gayi. Iske ilawa aap sallallahu alaihi wasallam ke grandfather aap sallallahu alaihi wasallam ke dadajaan ka naam kya tha?
[11:53]Toh aapko pata hona chahiye Hazrat Abdul Muttalib aur inho ne kitni der aap sallallahu alaihi wasallam ki care ki? 2 years aur unki death kab hui jab aap sallallahu alaihi wasallam ki age 8 years thi. Matlab ki Hazrat Aminah ki death hui 6 year ki age mein aap sallallahu alaihi wasallam ke jab age thi. Toh uske baad 2 saal tak Hazrat Abdul Muttalib ne apne paas rakha aur uske baad jab aap sallallahu alaihi wasallam ki age 8 years hui, toh Abdul Muttalib bhi wisal farma gaye.
[12:13]Uske baad kon se uncle the jinhone aap sallallahu alaihi wasallam ko raise kiya? Toh aapne yaad rakhna hai Hazrat Abu Talib jo ki Hazrat Ali ke father bhi hain. Iske ilawa Hazrat Baraka jo ki Umm Ayman kon thi? Toh aapko pata hona chahiye ki yeh wo servant thi jinhone aap sallallahu alaihi wasallam ki care ki after mother's death aap sallallahu alaihi wasallam ke maa ki death ke baad aap sallallahu alaihi wasallam ki inhone care ki thi.
[12:32]Aur Shaqq-us-Sadr kon hain jo ki opening of chest bhi kaha jaata hai? Toh yeh hua tha jab aap sallallahu alaihi wasallam first time jo the Hazrat Halima Sadia R.A ke paas gaye the.
[12:41]Question number nine hamare paas hai, In which Islamic month is Eid-ul-Fitr celebrated?
[12:48]Kon se Islamic month ke andar Eid-ul-Fitr ko celebrate kiya jaata hai? So we have the right answer, option number C, Shawwal (1st Shawwal).
[12:58]1st Shawwal ko hum Eid-ul-Fitr ko celebrate karte hain. Iske ilawa aapko aur bhi question aa sakte hain ki aapke Islamic months pata hona chahiye. Toh sabse pehla month Muharram hota hai, then Safar, Rabi-ul-Awwal, Rabi-ul-Thani, Jumada-ul-Awwal, Jumada-ul-Thani, Rajab, Sha'ban, Ramadan, Shawwal, Dhul-Qi'dah, aur Dhul-Hijjah. Eid-ul-Fitr kab manayi jaati hai? 1st Shawwal ko.
[13:18]Eid-ul-Adha kab manayi jaati hai? 10 Dhul-Hijjah ko aur Lailatul Qadr kab manayi jaati hai? Toh Lailatul Qadr hoti hai 27th Ramadan ko aur aap sallallahu alaihi wasallam ki birthday kab hoti hai? Toh yeh hoti hai 12 Rabi-ul-Awwal ko jisko hum Jashne Eid Milad-un-Nabi ke naam se bhi jaante hain.
[13:31]Aur four sacred months hote hain jo ki bade important hote hain Islam ke andar jinhe hum kehte hain Muharram, Rajab, Dhul-Qi'dah aur Dhul-Hijjah. Question number 10 hamare paas hai, "Reshmi Rumaal Tehreek" (Silken Handkerchief Movement) was started by which scholar?
[13:42]Reshmi Rumaal Tehreek jo ki Silken Handkerchief Movement bhi kaha jaata hai wo kab start hui aur kis scholar ne start ki thi? So we have the right answer, option number C, Ubaidullah Sindhi & Mahmood-ul-Hasan (1913).
[13:55]Aur yeh kab start hui thi? 1913 ke andar. Aapko iske related aur bhi question hone chahiye ki Reshmi Rumaal Tehreek jo 1913 ke andar start hui thi iska kya purpose tha? Toh yeh secret movement thi jo ki Deoband scholars ne start ki thi.
[14:07]Yeh kon kon se scholars the? Ubaidullah Sindhi aur Mahmood-ul-Hasan aur yeh kiske against the? Yeh British ke against the. Iske ilawa aapko pata hona chahiye ki iske andar kon sa message tha? Toh aapko pata hona chahiye ki message jo tha yeh discovered by British tha.
[14:20]Message written on silk handkerchiefs discovered by British. Iske ilawa aapko pata hona chahiye ki other anti-British movement kon kon si hui thi Hindustan ke andar? Toh aapko pata hona chahiye Khilafat Movement hui thi jiski date hai 1919 se 1924 jo ki Ali Brothers ne ki thi Muhammad aur plus Shaukat Ali ne.
[14:39]Iske ilawa Hijrat Movement 1920 ke andar jo hui thi jiske andar 20,000 Muslims migrated hue the India se Afghanistan ke andar. Iske ilawa Quit India Movement 1942 mein hui jo ki Gandhi Movement bhi kaha jaata hai.
[14:52]Iske ilawa Civil Disobedience Movement 1930 mein hui thi jo ki Gandhi Salt March ke naam se bhi jaani jaati hai. Question number 11 hamare paas hai, What does "Muhajirin" (muhaajireen) mean in Islamic history?
[15:02]Muhajirin ko Islamic history ke andar kis kaise jaana jaata hai? So we have the right answer, option number B, Muslims who migrated from Makkah to Madinah.
[15:13]Ki wo companions jo ki aap sallallahu alaihi wasallam ke wo saathi Muslim jo ki Makkah se Madinah ki taraf Hijrat karke gaye unhe kis naam se jaante hain? Muhajirin ke. Iske ilawa aapko pata hona chahiye ki Muhajirin ki kab hue the? Toh aapko date pata hona chahiye 622 CE ke andar.
[15:28]Ansar kise kehte hain? Ki wo log jo Madinah ke log the jinhone unko welcome kiya Muhajirin ka aur unko help ki. Iske ilawa Brotherhood Mukhaawat jo thi iske kya aapke bare mein question aa sakte hain ki ispe kya hua tha?
[15:40]Toh aap sallallahu alaihi wasallam ne pair kar diye the ki har Muhajir jo hai wo Ansar ka kya hai? Bhai hai isliye hum kehte hain ki Muslim, Muslim ka bhai hai. Iske ilawa Ashab-e-Suffah ke bare mein aapko pata hona chahiye ki wo poor companions wo ghareeb saathi aap sallallahu alaihi wasallam ke jo ki Mosque of Veranda ke andar rehte the unhe hum kis naam se jaante hain? Ashab-e-Suffah se.
[15:58]Aur first Hijrat jo ki 5 Nabawi ko hui thi uske andar kya hua tha? Toh aapko pata hona chahiye Abyssinia Ethiopia ke jo King the Najashi usne kya kiya tha? Protection di thi.
[16:07]Aur second Hijrat ko kya hua tha jo ki Madinah thi 622 CE aur first Hijri bhi kaha jaata hai iske andar mark kiya gaya tha first Islamic calendar ki date ko matlab ki second Hijrat ke andar jo Madinah ke andar start hua tha 622 CE ke andar Islamic calendar ko start kiya gaya tha.
[16:23]Question number 12 hamare paas hai, "Al-Naaf" is the Arabic name of which animal?
[16:28]Al-Naaf kon se Arabic animal ka Arabic name hai? So we have the right answer, option number C, Musk Deer (Kasturi Hiran).
[16:36]Musk Deer ka naam kya hai? Al-Naaf jo ki Arabic name hai. Aapko iske related aur bhi question aa sakte hain ki Musk Deer jo hota hai wo kya karta hai? Yeh produce karta hai musk jo Kasturi bhi hum kehte hain from its naval gland. Apne naval gland se Kasturi ya musk produce karta hai.
[16:50]Iske ilawa aapko important animal jo ki Islam ke andar unka pata hona chahiye Naqa jo ki She-Camel hai Hazrat Salih (A.S) ke ek jo untni thi Salih (A.S) ko isko Naqa kehte hain jo ki ek miracle tha, ek mojza tha.
[17:03]Iske ilawa Ababeel birds jinhone jo tha Abraha ki jo fauj ko to nabood kiya tha jo ki Kaaba ki taraf hamla karne ke liye aa rahi thi. Iske ilawa Whale jo ki Hazrat Yunus (A.S) ke jiske pet ke andar zinda rehte the aur Dog of Ashab-e-Kahf jo ki Ashab-e-Kahf ka kutta tha uske bare mein aapko pata hona chahiye jo ki ghar ke bahar soya hua tha.
[17:21]Aur Crow wo kaway jinhone jo tha hame is Qabil aur Habil ko jo tha dafnane ka tareeqa bataya aur National Animal of Pakistan kon sa hai? Wo Markhor hai. Toh aapne in sab questions ko achi tarah understand karke jaana hai. Aapko inke related bhi questions aa sakte hain.
[17:36]Question number 13 hamare paas hai, What is the largest island in the world? World ka largest island kon sa hai? So we have the right answer, option number C, Greenland.
[17:44]Greenland is the World largest island. Aapko iske ilawa aur bhi question aa sakte hain ki Greenland ka area kitna hai? Toh aapko pata hona chahiye 2.17 million km square aur yeh kahan par located hai? Arctic aur North Atlantic Ocean ke darmiyaan located hai.
[17:58]Aur yeh autonomous territory hai Denmark ki. Aapko pata hona chahiye ki largest continent kon sa hai? Toh Asia hai. Smallest continent kon sa hai? Australia hai. Uske ilawa World Islands ranking aapko pata hona chahiye ki first pe jo aata hai wo Greenland aata hai jo ki world largest hai, then New Guinea, then Borneo, then Madagascar, then Baffin Island.
[18:17]Aur Pakistan ka largest island kon sa hai? Astola Island jo ki kahan par located hai? Arabian Sea ke andar. Then largest lake kon si hai? Caspian Sea jo ki salty hai aur then Lake Superior jo ki fresh hai.
[18:30]Aur deepest lake kon si hai? Jo ki Lake Baikal hai jo ki Russia ke andar located hai aur iski depth kitni hai? 1642 meter. Question number 14 hamare paas hai, What is the capital city of Australia?
[18:39]Australia ka capital kya hai? So we have the right answer, option number D, Canberra. Canberra kiska capital hai? Australia ka. Aapko iske ilawa aur bhi question aa sakte hain ki Canberra jo hai Sydney ka nahi hai.
[18:49]Yeh common mistake ki jaati hai yeh ki balki kiska capital hai? Australia ka. Uske ilawa aapko pata hona chahiye ki largest city jo hai wo kon si hai wo Sydney hai, then second largest jo hai wo kon si hai wo Melbourne hai.
[19:02]Then other tricky capitals jo hain wo jaise Canada ka Ottawa hai jisko hum Toronto se link karte hain lekin wo Canada ka hai. Then Brazil ka Brasilia hai jo ki hum Rio ya Sao Paulo se link karte hain. South Africa ke teen capitals hain.
[19:13]Pretoria jo ki admin hai, Cape Town jo ki legislative hai aur then Bloemfontein jo ki judicial hai. USA ka capital Washington D.C. jisko hum kayi dafa New York se link kar dete hain lekin ye Washington D.C. USA ka capital hai. Then Kazakhstan ka Astana jo ki hum kayi dafa link kar dete hain Almaty ke sath aur Ghana ka Accra.
[19:33]Question number 15 hamare paas hai, What is the capital of Bangladesh? Bangladesh ka capital kya hai? So we have the right answer, option number B, Dhaka.
[19:41]Aapko iske related aur bhi question aa sakte hain ki Dhaka jo tha Bangladesh kab bana? Bangladesh kab independent separate hua Pakistan se? Toh aapko pata hona chahiye 16th December 1971. Then iski currency kya hai? Taka. Then iski largest city kon si hai? Dhaka jo ki iska capital bhi hai.
[19:55]Then iska South Asian capital kon sa hai? Toh aapko pata hona chahiye India, New Delhi. Sri Lanka ka capital kon sa hai? Toh aapko pata hona chahiye Sri Jayawardenepura Kotte jisko legislative hai aur Colombo iska hai commercial. Nepal ka kon sa hai? Kathmandu. Bhutan ka Thimphu. Maldives ka Male. Myanmar ka Naypyidaw aur Azad Jammu Kashmir ka Muzaffarabad.
[20:15]Bismillahir Rahmanir Rahim Assalamualaikum students. My name is Waqas Asghar and I am recommended from PMA 153 Long Course. PMA 157 Long Course mein, Alhamdulillah, mere paas 1800 candidates the jismein 98% students ne apna initial clear kiya.
[20:30]Abhi 158 PMA long course mein main aapko wahi notes aur kuch updated notes provide karne ja raha hoon aur 100% guarantee hai Pro Genius Students ki taraf se agar aap yeh chand MCQs kar lete hain aapka initial pass ho jayega.
[20:43]Sabse pehle hum aapko provide karenge 105 verbal intelligence ki ek file aur uske mock test. Uske sath-sath hum aapko provide karenge non-verbal ki booklet aur uske mock test. Fir aapko academic ke char parts provide kiye jayenge. Current affair, General knowledge, English and Math aur uske mock test.
[20:59]Iske sath-sath aapko two special WhatsApp group ke andar add kiya jayega. To agar aap hamare given number par text karte hain hum aapko fouri taur par yeh data transfer kar denge. Two special WhatsApp group ke andar add bhi kar denge. Mujhe ijazat dijiye. Thank you. Allah Hafiz.
[21:11]Question number 16 hamare paas hai, When was the United Nations (UNO) officially established?
[21:19]UNO officially kab established hua? So we have the right answer, option number C, 24 October 1945. UNO officially kab established hua? 24 October 1945 ko UNO officially established ho gaya.
[21:26]Aapko iske related aur bhi question aa sakte hain ki UN Day kab manaya jata hai? Toh aapko pata hona chahiye 24 October 1945 ko. Pakistan ne kab join kiya? 13 September 1947 ko. UN Charter jo tha sign kab hua? Toh 26 June 1945 ko San Francisco ke andar UN Charter sign hua.
[21:44]Aur iska predecessor kon hai? Wo hai League of Nations 1920 se 1946 tak. UN Security Council jo P5 hain wo kon kon si countries hain? Toh USA, UK, France, Russia aur China.
[21:56]Iske sath-sath UNSC non-permanent members kitne hain? Toh pata hona chahiye 10 hain jo ki 2-year term pe aate hain. Pakistan jo tha UNSC presidency kab mili? Toh pata hona chahiye January 2025 ke andar.
[22:08]Isi tarah current Secretary-General jo hai wo kon hai? Toh pata hona chahiye António Guterres Portugal jo ki 2017 se iska current Secretary-General hai. Question number 17 hamare paas hai jo ki keh raha hai ki The Saindak Copper-Gold Project in Balochistan was developed with the help of which country?
[22:29]Jo Saindak Copper Gold Project tha Balochistan ke andar wo kis country ki help ke sath develop kiya gaya? So we have the right answer, option number C, China. Moreover aapko iske related aur bhi question aa sakte hain ki yeh kahan par tha? Toh pata hona chahiye Chagai district jo hai uske andar tha Balochistan ka.
[22:41]Kis ki help se develop kiya gaya? China ki help se, MCC Group jo China ka hai uski help se develop kiya gaya. Reko Diq jo ki ek bada famous hai isko kahan pe kis se link kiya jata hai? Gold aur Copper Chagai jo tha usse link kiya jata hai is project ke sath.
[22:54]Aur yeh kon sa tha? Yeh world largest untapped Copper-Gold reserves the. Moreover aapko pata hona chahiye Muslim Bagh kise kaha jata hai? Chromite ko. Then Sui yeh kahan par hai? Dera Bugti ke andar hai aur yeh kiska source hai? Yeh natural gas ke yahan par deposits available hain.
[23:08]Then Khewra Punjab ke andar hai yeh kis liye famous hai? Toh yahan par salt ke jo hai na deposits available hain salt mine hai jo ki second largest salt mine hai world ke andar. Then Thar Sindh isko kis se yeh famous hai? Toh aapko pata hona chahiye yahan pe coal hai. Koyla hai jo ki World 7th largest coal reserves ke liye famous hai.
[23:26]Moreover Pakistan nuclear test jo the 1998 ke andar hue jiske andar 6 blasts hue Chagai ke andar jisko Chagai-I ke naam se bhi hum yaad karte hain aur 28 May 1998 ko hue aur then hamara Chagai-II hua jahan par humne aur blast kiye nuclear wo usko hum kya kehte hain? Chagai-II.
[23:42]Question number 18 hamare paas hai, What is the national flower of Pakistan? Pakistan ka national flower kon sa hai? So we have the right answer, option number C, Jasmine (Chameli).
[23:53]Jasmine (Chameli) is the national flower of Pakistan. Aapko iske related aur bhi question aa sakte hain ki National animal kon sa hai? Jo ki Markhor hai. National bird Chukar Partridge (Chakor), then National tree Deodar, National sport Field Hockey, National fruit Mango, National language Urdu, National dress Shalwar Kameez.
[24:10]National Anthem written by = Hafeez Jalandhri. National Anthem composed by = Ahmed Ghulamali Chagla. National mosque = Faisal Mosque, Islamabad. Aapko iske ilawa first chief of Pakistan Navy (First Naval Chief) kon tha? Rear Admiral James Jefford (British) 1947-1948. First Pakistani Naval Chief = Vice Admiral Haji Muhammad Siddiq Chaudhri (1953). Pakistan's first chiefs: First Governor-General = Quaid-e-Azam. First PM = Liaquat Ali Khan. First President = Iskander Mirza (1956). First COAS = General Ayub Khan (1951). First Pakistani C-in-C = First Chief Justice = Sir Abdul Rashid. First female PM = Benazir Bhutto (1988).
[24:30]National Anthem written by = Hafeez Jalandhri. National Anthem composed by = Ahmed Ghulamali Chagla. National mosque = Faisal Mosque, Islamabad. Aapko iske ilawa first chief of Pakistan Navy (First Naval Chief) kon tha? Rear Admiral James Jefford (British) 1947-1948. First Pakistani Naval Chief = Vice Admiral Haji Muhammad Siddiq Chaudhri (1953). Pakistan's first chiefs: First Governor-General = Quaid-e-Azam. First PM = Liaquat Ali Khan. First President = Iskander Mirza (1956). First COAS = General Ayub Khan (1951). First Pakistani C-in-C = First Chief Justice = Sir Abdul Rashid. First female PM = Benazir Bhutto (1988). Question number 19 hamare paas hai, How long did the duration of one term of a Senator (Senate member) last in Pakistan? Ke Senator ki duration kitni hoti hai? So we have the right answer, option number D, 6 years.
[24:41]Senate ki jo term hoti hai wo 6 years ki hoti hai. Toh half of Senate elected kab hote hain? Har teen saal ke baad jo ki staggered elections hote hain. Then National Assembly ki term kitni hoti hai? 5 years. Provincial Assembly ki aapko pata hona chahiye wo bhi 5 years hoti hai. Presidential term wo bhi 5 years hoti hai aur ek jo insaan hai wo sirf 2 times president aa sakta hai apne poorri duration mein.
[25:20]Aapko iske ilawa pata hona chahiye ki minimum age jo hai Senator ki wo kitni ho sakti hai? Jo that is 45 years minimum age hogi to abhi aap Senate ke liye eligible honge. Then minimum age of National Assembly member wo kitni honi chahiye? Toh 25 years aur Chairman Senate wo kitni dafa elect ho sakte hain? Toh aapko pata hona chahiye wo can be elected for 3-year term. Chairman Senate jo hai wo bas teen saal yani ki half Senate term ke liye elect ho sakta hai.
[25:43]So, question number 20 hamare paas hai, Who was the first female Governor of the State Bank of Pakistan? Pehli female Governor State Bank of Pakistan ki kon thi? So we have the right answer, option number C, Dr. Shamshad Akhtar.
[25:56]First female Governor kon thi? Dr. Shamshad Akhtar jinka tenure tha 2006 se 2009 tak. State Bank of Pakistan kab founded hua? 1st July 1948 mein. Iska inauguration kisne kiya? Quaid-e-Azam ne.
[26:08]Then Pakistan ke first women ka pata hona chahiye ki first female Prime Minister kon thi? Benazir Bhutto jo ki 1988 ke andar elect hui. First female Speaker of National Assembly kon thi? Jo ki Fehmida Mirza thi jo ki 2008 ke andar elect hui. Then first female Foreign Minister kon thi? Jo ki Hina Rabbani thi jo ki 2011 ke andar elect hui.
[26:26]Then first female president kon tha? Jo ki abhi tak koi bhi nahi aaya aur then first female mountaineer Everest jo ki jisne Mount Everest ko par kiya tha wo kon thi? Wo Samina Baig thi jinhone 2013 ke andar Mount Everest ko par kiya. Question number 21 hamare paas hai, What is the K2 mountain height?
[26:43]K2 mountain ki height kitni hai? So we have the right answer, option number D, 8611 meters. K2 mountain ke related aapko aur bhi question aa sakte hain ki iski height hai 8611 meter jaisa ki abhi humne discuss kiya.
[26:56]Yeh world ki second highest peak hai aur Pakistan ki highest peak hai. Yeh kahan par located hai? Karakoram Range jo Gilgit-Baltistan ke andar located hai. Iske nickname kya hai? Isko Savage Mountain bhi kaha jaata hai aur Pakistan ke jo major alag peaks hain wo kon kon se hain? K2 hai jo ki 8611 meter high hai.
[27:14]Nanga Parbat jo ki 8126 meter hai, then Gasherbrum jo ki 8080 meter hai, then Broad Peak jo ki 8051 meter hai, Gasherbrum II jo ki 8034 meter hai, then Tirich Mir jo ki Hindu Kush ke naam se bhi hum jaana jaata hai wo 7708 meter high hai.
[27:32]Aur Pakistan ke jo hai wo 5 14 mein se 5 jo hai na high thousanders hain jo ki hamare paas highest peaks hain world ki 14 un mein se 5 jo hai wo Pakistan ke andar located hain jo abhi humne discuss kiye hain. Question number 22 hamare paas hai, What is the SI (International System) unit of temperature?
[27:52]So we have the right answer, option number C, Kelvin (K). Jo Kelvin hai wo hamare paas SI unit hai temperature ka. Aapko iske related aur bhi question aa sakte hain ki zero Kelvin kiske barabar hota hai? Absolute zero ke. Absolute zero ka matlab kya hai? -273.15 degree Celsius ke.
[28:07]Iske ilawa iske aur unit aapko SI units pata hona chahiye. Length ka meter, mass ka kilogram, time ka second, current ka ampere, amount of substance ka mole aur luminous intensity ka candela. Temperature conversion aapko pani chahiye ki degree Celsius se Kelvin ke andar kaise convert karte hain? Toh degree Celsius ko hum 273 ko add kar dete hain toh hamare paas Kelvin aa jata hai.
[28:25]Isi tarah degree Celsius ko Fahrenheit ke andar kaise convert karte hain? Toh degree Celsius ko multiply kar dete hain 9 by 5 aur plus kar dete hain 32 toh hamare paas Fahrenheit scale ke andar hamare paas aa jata hai temperature. Aur evaporation kya hoti hai? Toh aapko pata hona chahiye process of water converting to steam ki wo process jo ki water jo hai liquid se steam ya vapor ke andar convert hota hai use kya kehte hain? Evaporation.
[28:46]Question number 23 hamare paas hai, When was NATO (North Atlantic Treaty Organization) founded? NATO kab founded hua? So we have the right answer, option number C, 4 April 1949.
[28:57]NATO kahan par bana? 4 April 1949 mein Washington D.C. ke andar. Iska headquarter kahan par hai? Brussels, Belgium ke andar. NATO ke members kon kon se hain? 32 members hain. Finland ne kab join kiya? 2023 ke andar. Sweden ne kab join kiya? 2024 ke andar. Article 5 iska kya kehta hai? Jo ki batata hai collective defense. Agar ek country par attack hoga to iska matlab wo countries pe consider kiya jayega.
[29:21]Iska Secretary-General kon hai? Wo hai Mark Rutte (Netherlands, 2024). Jiska jo hai kahan se wo link karte hain? Netherlands ke sath. Iske ilawa other organization ke bare mein aapko pata hona chahiye jo ki hai United Nations jo ki 1945 ke andar bani. WHO 1948 ke andar. OIC 1969 ke andar.
[29:36]SAARC 1985 ke andar. SCO 2001 ke andar. WTO 1995 ke andar. IMF jo ki World Bank ke naam se bhi jaana jaata hai wo 1944 ke andar Bretton Woods ke andar. Question number 24 hamare paas hai, ECO (Economic Cooperation Organization) headquarters is located in which city?
[29:57]So we have the right answer, option number D, Tehran, Iran ke andar. Iske ilawa aapko pata hona chahiye kab bani yeh 1985 ke andar. Iska successor kon the? Wo RCD the jo ki 1964 ke andar aaye. Iske ilawa ECO ke members kitne hain? 10 hain jo ki isme Pakistan, Iran, Turkey, Afghanistan aur 6 Central Asian states bhi iske andar included hain.
[30:15]Iske ilawa aapko different headquarters ka pata hona chahiye ki OIC ka headquarter Jeddah ke andar located hai. SAARC ka Kathmandu ke andar. SCO ka Beijing ke andar. OPEC ka Vienna ke andar. NATO ka Brussels ke andar. WHO Geneva ke andar. IAEA ka Vienna ke andar. Amnesty International ka London mein. Interpol ka Lyon, France ke andar. ICC ka The Hague, Netherlands ke andar.
[30:37]Question number 25 hamare paas hai, What is the summer capital of Khyber Pakhtunkhwa (KPK)? Summer capital KPK ka kon sa hai? So we have the right answer, option number C, Nathia Gali.
[30:47]Aapko iske related aur bhi question aa sakte hain ki summer capital of KPK kon sa hai? Nathia Gali hai jo ki Abbottabad ka district hai. Winter capital kon sa hai? Peshawar hai jo ki KPK ka main capital bhi hai. Pakistan ke capitals kon kon se hain? Federal Islamabad ka, Punjab ka Lahore hai, Sindh ka Karachi, KPK ka Peshawar, Balochistan ka Quetta, GB capital Gilgit-Baltistan ka Gilgit.
[31:07]AJK capital = Muzaffarabad aur City of Flowers kise kaha jaata hai? Peshawar ko aur City of Gardens kise kaha jaata hai? Lahore ko. Question number 26 hamare paas hai, When did Fatima Jinnah (Madar-e-Millat) pass away?
[31:20]Fatima Jinnah ki death kab hui? So we have the right answer, option number B, 9 July 1967. Aapko iske related aur bhi question aa sakte hain ki Fatima Jinnah ki death kahan par hui? Karachi ke andar.
[31:30]Inke titles kon kon se hain? Madar-e-Millat, Khatoon-e-Pakistan. Yeh paida kab hui? 31st July 1893 in Karachi. Inho ne presidential election kab lade? 1964 ke andar. Kiske against lade? Ayub Khan ke andar. Aur yeh kyun haar gayi? She lost lekin inke jo opposition jo thi wo united nahi ho saki thi.
[31:49]Aur inho ne kab 19 AIML kab join kiya? 1939 ke andar. Aur inke jo hai Pakistan ke key jo major deaths hain wo unka bare mein aapko pata hona chahiye Quaid-e-Azam ki death kab hui? 11 September 1948 ko. Liaquat Ali Khan ki death kab hui? 16 October 1951 ke andar jo ki assassinated kiye gaye the. Isi tarah Benazir Bhutto jinko assassinated kiya gaya tha jo ki 27 December 2007 ke andar.
[32:11]Question number 27 hamare paas hai, Who was the leader of Germany during World War II? World War II ke mein leader of Germany kon tha? So we have the right answer, option number C, Adolf Hitler.
[32:24]Aapko iske ilawa aur bhi pata hona chahiye ki World War II ke andar Germany ka leader kon tha? Adolf Hitler, Italy ka Benito Mussolini, Japan ka Emperor Hirohito, UK ka Winston Churchill, USA ka Franklin D. Roosevelt died, USA ka jo tha uske baad kon aaya? Harry Truman aur USSR ka Joseph Stalin. World War II ki dates kya thi? World War II ki dates kya thi? 1939 se 1945.
[32:44]World War I ki dates kya thi? 1914 se 1918. USA kab enter hua World War II ke andar? After Pearl Harbor attack. Pearl Harbor attack jo ki 7 December 1941 ke andar hua tha Japan ke zariye iske baad jo tha USA ne enter hua tha World War II ke andar. Iske ilawa aapko pata hona chahiye ki atomic bomb jo tha Japan pe kab gire? Toh Hiroshima ke upar gire 1960. 1945 ke andar 6 August ko jo ki America ne giraaye the.
[33:10]Then Nagasaki ke andar jo ki 9 August 1945 jo ki uske teen din baad Nagasaki pe America ne giraaye the. Question number 28 hamare paas hai, The Partition of Bengal (1905) benefited which community?
[33:23]Partition of Bengal jo 1905 ko hui thi isne kis community ko benefit kiya tha? So we have the right answer, option number B, Muslims of East Bengal. Aapko pata hona chahiye ki Partition of Bengal kis ke through hui thi? Jo Viceroy Lord Curzon ke through hui thi.
[33:36]East Bengal aur plus Assam jo the Muslim majority the inko benefit hua tha. West Bengal jo thi hamare paas Hindu majority thi. Annulment jo ki cancel ho gaya tha 1911 ke andar Viceroy Lord Hardinge ne kyunki Hindu ne protest kiya tha iski wajah se wo cancel kar diya gaya tha. Yeh cancellation jo thi isne Muslims ko disappointed kiya lekin Muslim League ko strengthen kiya 1906 ke andar.
[33:56]Isi tarah Hindu Urdu Controversy kab hui? 1867 ke andar isko lead kisne kiya? Isko British ruler ne lead kiya taake divide kiya jaaye Hindu aur Muslims ko. Iske ilawa aapko Chauri Chaura Incident ke bare mein pata hona chahiye yeh kab hua? Yeh 4 February 1922 ke andar UP jo ki Uttar Pradesh province hai India ka uske andar hua aur Gandhi ne jo tha stop kiya tha Non-Cooperation Movement ko iske andar.
[34:18]Question number 29 hamare paas hai, The G20 Summit 2025 was hosted by which country? So we have the right answer, option number D, South Africa (2025).
[34:29]Aapko iske related aur bhi pata hona chahiye ki G20 2024 kisne kiya tha? Toh pata hona chahiye Brazil ne host kiya tha. 2023 kisne host kiya tha? India ne. G20 2022 kisne host kiya tha? Indonesia ne. G20 group of 20 major economies hai. Iske andar kon kon si countries hain? Toh aapko pata hona chahiye 19 countries aur plus European Union. Pakistan jo hai wo G20 ka member nahi hai.
[34:52]Iske ilawa aapko pata hona chahiye ki SCO Summit jo ki recent hai wo kab host hua tha aur kahan par host hua tha? Jo recently host hua tha Islamabad ke andar. Iske ilawa aapko pata hona chahiye ki SAARC ka jo latest summit kab hua tha? Toh aapko pata hona chahiye 2014 ke andar Kathmandu ke andar hua tha aur suspend ho gaya tha India Pakistan tensions ki wajah se.
[35:10]OIC ka last summit kab hua tha? Wo Istanbul ke andar hua tha. Question number 30 hamare paas hai, Operation Bunyan-ul-Marsoos was launched by Pakistan against which country?
[35:20]Operation Bunyan-ul-Marsoos jo tha Pakistan ne launch kiya kis country ke against? So we have the right answer, option number B, India in response to Operation Sindoor (May 2025).
[35:33]Iske ilawa aapko pata hona chahiye ki Operation Bunyan-ul-Marsoos kon sa tha? Pakistan ke retaliatory military operation tha jo ki India ke against launch hua 2025 May ke andar. Bunyan-ul-Marsoos jo hai yeh naam kahan se suggest kiya gaya? Toh yeh Quranic term hai jiska meaning hai a firm and solid structure.
[35:48]Yeh kahan se liya gaya? Surah As-Saff 61 aayat fourth paare se. Iske ilawa India ko Operation Sindoor jo tha yeh kahan par hua tha? Yeh struck hua tha Bahawalpur aur Muridke ke andar jahan par inhone attack kiye the. Pakistan ne kahan par attack kiye? India ke military installations par, Amritsar airport radar par, airfields par aur both nuclear powers hain jiski wajah se jo international community hai wo iske cease fire ke upar aa gayi aur yahan par cease fire launch ho gaya.
[36:13]Iske ilawa aapko Operation Ghazab-ul-Haq ka pata hona chahiye yeh kab hua tha? Toh yeh Pakistan ne TTP jo ki Tehreek-e-Taliban hai Afghanistan ki uske against launch kiya tha 2025 ke andar.
[36:23]Aur Operation Zarb-e-Azb 2014 ke bare mein aapko pata hona chahiye yeh bhi 2014 ke andar hua tha. Yeh bhi Pakistan Army ne TTP ke against kiya tha FATA ke andar. Question number 31 hamare paas hai, Pakistan joined the United Nations (UN) in which year?
[36:38]Pakistan ne UN ko kab join kiya? So we have the right answer, option number C, 30 September 1947. Aapko iske ilawa pata hona chahiye ki Pakistan ne apni independence ke kitne days baad join kiya? Just 46 days after independence 13 September 1947 Pakistan ne UN ko join kar liya.
[36:53]Afghanistan jo tha usne jo tha Pakistan ke against vote kiya tha membership ke liye UN ke liye aapko pata hona chahiye. Moreover Pakistan ki key journey aapko pata hona chahiye Commonwealth kab join ki? 1947 mein. IMF ko kab join kiya? 1950 mein. OIC ko kab join kiya? 1969 ke andar Pakistan iska founding member bhi hai. SAARC ko kab join kiya? 1985.
[37:16]SCO ko 2017 ke andar. BRICS ko applied 2025 aur SEATO ko 1954 ke andar jo ki dissolve ho gayi thi 1977 ke andar aur CENTO ko 1955 ke andar jo ki dissolve ho gayi thi 1979 ke andar. Question number 32 hamare paas hai, JF-17 Thunder fighter jet was jointly developed by Pakistan and which country?
[37:36]Kon si country jo Pakistan ne milkar JF-17 Thunder Fighter Jet ko develop kiya tha? So we have the right answer, option number D, China (PAF + CHENGDU Aircraft Corporation).
[37:52]JF-17 Thunder ko jointly develop kiya tha Pakistan Air Force ne aur China ne. Then JF-17 Block III jo tha wo latest version hai. Yeh kahan par tha? Isme AESA radar system hai. Then J-10C jo hai Pakistan ka wo new Chinese made fighter jet hai jo ki acquire kiya gaya 2022 ke andar.
[38:13]PAF kab bani? Just after independence 14 August 1947 Pakistan Air Force jo thi ban gayi. PAF ke Chief kon hai? Uska Air Chief Marshal kaha jata hai aur currently wo kon hai? Zaheer Ahmed Babar Sidhu hain. Pakistan military services kab banayi gayi? 1947. Army jo thi yeh found kar di gayi 1947 ke andar just after independence.
[38:30]Aur current hamare Chief of Army Staff kon hai? Wo General Asim Munir hain. Then Navy kab bani? Yeh bhi same 1947 ke andar aur current jo hai Chief of Naval Staff wo hamare paas hain isko CNS kaha jata hai Chief of the Naval Staff. Aur then hamare paas Pakistan ne nuclear test kab kiye? 28 May 1998 ke andar jo ki chhe blast kiye aur Chagai ke andar aur Balochistan ke andar. Isi tarah aapko Chief of Naval Staff kon se the? Wo hain hamare paas hain Admiral Naveed Ashraf.
[38:57]Question number 33 hamare paas hai, Who was the first Chief of Pakistan Navy (First Naval Chief)? So we have the right answer, option number C, Rear Admiral James Jefford (British).
[39:10]Jo ki British the wo hamare paas Pakistan ke Naval Chief the. Iske ilawa aapko pata hona chahiye inho ne kab tak serve kiya? 1947 se 1948 tak. Pakistan ke jo Pakistani first Naval Chief kon the? Wo the hamare paas Vice Admiral Haji Muhammad Siddiq Chaudhri jinhone 1953 ke andar Naval Chief bane.
[39:24]Pakistan ke first Chief Governor General kon the? Quaid-e-Azam. First Prime Minister Liaquat Ali Khan. First President Iskander Mirza 1956. First COAS General Ayub Khan 1951 se leke aur then Pakistan ke first Commander in Chief bhi yahi bane. First jo hai the Chief Justice kon the? Wo Sir Abdul Rashid the aur then first female Prime Minister kon thi? Wo Benazir Bhutto hain jo ki 1988 ke andar elect hui.
[39:55]Question number 34 hamare paas hai, The 2022 Asia Cup (Cricket) was won by which country? So we have the right answer, option number C, Sri Lanka.
[40:06]Sri Lanka ne 2022 ke andar Asia Cup ko win kiya. Aapko iske ilawa pata hona chahiye ki isne Asia Cup ke andar final ke andar kisko haraya? Toh Pakistan ko haraya. Asia Cup 2023 kisne jeeta? Wo India ne jeeta Sri Lanka ko beat karke. Asia Cup 2024 bhi India ne jeeta beat kar Sri Lanka ko again.
[40:20]Check latest. ICC Cricket World Cup 2024 kisne host kiya? USA aur West Indies ne milkar host kiya aur isne 2024 ka ICC World Cup kisne jeeta? India ne beat kiya South Africa ko final ke andar. Pakistan ne World Cup kab jeeta? 1992 ke andar jo ki Imran Khan hamare is time captain the.
[40:37]Ahsan Ramzan kon hai? Wo ek famous Pakistani snooker player hain. Isam-ul-Haq kon hai? Jo ki Pakistani tennis player hain aur Arshad Nadeem jo ki bade famous hain wo hamare paas hain javelin thrower aur inho ne Olympic Gold 2024 ke andar gold medal bhi win kiya tha.
[40:53]Question number 35 hamare paas hai, Which Pakistani athlete won a Silver medal in the 2024 Asian Games (Olympics related)? So we have the right answer, option number A, Arshad Nadeem, but won GOLD at Paris Olympics 2024.
[41:10]Aapko pata hona chahiye ki inho ne javelin throw ki thi 92.97 meter jo ki world record inho ne bana diya tha. Then aapko Pakistani ke medal history ka pata hona chahiye. Hockey ke andar Pakistan ko gold medal 1960, 1968, 1976 aur 1984 ke andar mile. First individual Olympic medal Pakistan ka Husnain Shah ko boxing ke andar mila jo ki bronze medal tha aur Seoul 1988 ke andar mila.
[41:31]Arshad Nadeem ko first Pakistani hai jinhone individual Olympic gold medal win kiya 2024 ke andar. Pakistan Nobel Prize kis kis ko mile? Toh aapko pata hona chahiye Dr. Abdus Salam jinko physics ke andar 1979 ke andar mila. Malala Yousafzai ko peace ke liye 2014 ke andar mila aur total Pakistan ko do Nobel Prize mile. Question number 36 hamare paas hai, Quaid-e-Azam Muhammad Ali Jinnah joined the Indian National Congress in which year?
[41:55]Quaid-e-Azam Muhammad Ali Jinnah ne Indian National Congress kis saal join ki? So we have the right answer, option number B, 1906. Quaid-e-Azam ne Indian National Congress 1906 ke andar join ki. AIML 1913 mein join ki. Indian National Congress 1920 ke andar chhod di kyunki Gandhi jo tha wo non-Muslim non-cooperation movement ko oppose kar rahe the.
[42:15]Aur Ambassador of Hindu-Muslim Unity bhi Quaid-e-Azam jane jaate hain isse Lucknow Pact ke andar 1916 ke andar. Quaid-e-Azam jo title tha yeh Allama Iqbal ne diya inhe. Quaid-e-Azam ne 14 Points hain jo bade famous hain unke bare mein aapko pata hona chahiye kab aaye the? 1929 ke andar jo ki in response to Nehru Report 1928 ko Quaid-e-Azam ne launch kiye the.
[42:35]Quaid-e-Azam jo the Muslim League ke first president kab bane? 1934 ke andar. Allahabad Address jo ki Allama Iqbal ka bada famous address tha wo kab hua tha? 1930 ke andar. Pakistan Resolution 23rd March 1940 mein hui Lahore ke andar aur usko kab kisne move kiya tha? AK Fazlul Haq ne. Question number 37 hamare paas hai, Muhammad bin Qasim conquered Sindh in which year?
[42:53]Muhammad bin Qasim ne Sindh conquer kab kiya tha? So we have the right answer, option number C, 712 CE (93 AH). Aapko iske related aur bhi question hone chahiye ki Muhammad bin Qasim ki age kitni thi tab? Toh 17 se 20 ke darmiyaan Muhammad bin Qasim ki age thi.
[43:12]Inho ne kisko defeat kiya? Raja Dahir ko Battle of Aror (Rohri) ke andar River Indus ke upar jaake Raja Dahir ko defeat kiya. Then inho ne kya kiya? Hajjaj bin Yusuf ko Governor of Iraq bana diya aur yeh first Muslim conqueror to subcontinent bhi jane jaate hain ki first Muslim hain jinhone subcontinent ko conquer kiya tha Muhammad bin Qasim hain.
[43:32]Iske ilawa aapko alag different British conquest ka pata hona chahiye Sindh conquest kab hua? 1843 ke andar jo ki General Charles Napier ne kiya. Punjab kab hua? 1849 ke andar jo ki Sikh jangon ke baad hua tha. Balochistan 1876 se 1887 ke andar aur KPK separate hua tha Punjab se 1901 ke andar.
[43:50]Aur War of Independence kab hui thi? 1857 ke andar jisko Sepoy Mutiny bhi kaha jaata hai. Aapne tamam dates aur jitni humne discuss kar li hain aur hum aage discuss karenge, tamam ko achi tarah yaad karna hai. Aapko iske related questions aa sakte hain.
[44:02]Question number 38 hamare paas hai, How many seats did the Awami League win in the 1970 general elections of Pakistan? 1970 ke general election ke andar Awami League ne kitni seats win ki? So we have the right answer, option number D, 167 out of 313 seats (majority).
[44:23]167 out of 313 seats Pakistan ne win kar Awami League ne win kar li thi. Aapko iske related aur bhi question aa sakte hain ki Awami League ke jo the leader the wo kon the wo Mujibur Rahman the jinhone 167 seats win ki out of 313 jo ki absolute majority thi.
[44:35]Aur People's Party ke jo the wo Bhutto the Zulfiqar Ali Bhutto jinhone 88 seats ki jo ki mainly West Pakistan ke andar majority ke andar the. Lekin power transfer jo tha wo East Pakistan se jo hai tha refuse kar diya gaya ki West Pakistan ki taraf nahi jayega jiski wajah se civil war aa gayi East Pakistan ke andar aur Bangladesh jo tha 16 December 1971 ke andar Pakistan se separate ho gaya.
[44:54]Iske ilawa 1937 ke andar AIML ke election hue jiske andar 108 seats Muslims thi out of 482. Isi tarah 1945 ke 46 election ke andar Pakistan jo Muslims the 90% Muslim seats win ki jo ki hamare paas Pakistan banne ke jo hai tha bada help out kiya gaya.
[45:12]1977 ke andar jo election hue People's Party jo thi win kar gayi jo ki rigging allegation jinone allegations ko rig kar diya. Zia ul Haq jo the wo aage 1977 ke andar aur 1985 ke andar alag election hue jo ki non-party election the under Zia-ul-Haq ke andar aur first multi-party elections kab hue? 1988 ke andar.
[45:33]Question number 39 hamare paas hai, Abdullah bin Ubayy was known as what in Islamic history? Abdullah bin Ubayy Islamic history ke andar kis naam se jaane jaate hain? So we have the right answer, option number B, Chief of the Hypocrites (Raees-ul-Munafiqeen).
[45:49]Raees-ul-Munafiqeen ke naam se Abdullah bin Ubayy ko jaana jaata hai. Abdullah bin Ubayy ko Madinah ke andar the. Inko Chief of Hypocrites ke naam se jaana jaata hai. Yeh jo the yeh pehle wo the jinko he was set to become King of Madinah aap sallallahu alaihi wasallam ke wahan pahunchne se pehle.
[46:02]Iske ilawa Surah Al-Munafiqoon 63 aayat ke andar ke bare mein bataya gaya jiske andar aapko iske ilawa key Madinah incidents ka pata hona chahiye jo ki spreading rumors jo the Hazrat Aisha (R.A) ke aaye the. Uske ilawa incident of Banu Mustaliq hua tha. Hazrat Umar (R.A) jo the wo aap sallallahu alaihi wasallam ko kill karna chahte the lekin aap sallallahu alaihi wasallam ne unhe maaf farma diya aur Islam le aaye wo.
[46:24]Iske ilawa aapko pata hona chahiye ki inke jo son the wo true believers the aur aap sallallahu alaihi wasallam se jo the inho ne apne father ke funeral ke liye request bhi ki thi. Question number 40 hamare paas hai, Pakistan's constitution is based on which foundational document?
[46:37]Pakistan ka jo constitution hai wo kon se fundamental document ke upar base karta hai? So we have the right answer, option number D, Objectives Resolution 1949. Iske ilawa aapko aur bhi question aa sakte hain ki kisne move ki thi? Liaquat Ali Khan ne Constituent Assembly ke andar move ki thi Objectives Resolution ko.
[46:52]Yeh permanent kab hua tha? Permanent preamble kab bana yeh 1973 ke constitution mein 8th Amendment ke baad 1985 ke andar isko jo tha permanent preamble isko bana diya gaya tha. Then aapko pata hona chahiye ki Government of India Act 1935 kya hai? Yeh wo hai jo ki hamare Pakistan ne interim constitution as a use kiya tha jab tak hamara apna constitution nahi ban saka tha.
[47:14]Pakistan constitution kon kon si aaye? First Constitution aaya 1956 ke andar jo ki Iskander Mirza lekar aaye. Then second Constitution 1962 ke andar jo ki Ayub Khan lekar aaye. Aur then third jo ki abhi tak chal raha hai 1973 ke andar jo ki Bhutto lekar aaye.
[47:28]Aur iske andar kitni amendments ho chuki hain? 18 amendments ho chuki hain 2010 tak jo ki restore ki gayi thi Parliament democracy aur 25th Amendment 2018 ke andar jiske andar kya kiya gaya tha ki FATA jo tha as a KPK ka part ho ke merge hua tha. Question number 41 hamare paas hai, Rohtas Fort (Qila Rohtas) is located in which city/district of Pakistan?
[47:48]Rohtas Fort jo ki Qila Rohtas hai wo kahan par located hai ya Pakistan ke kis city ya district ke andar located hai? So we have the right answer, option number C, Jhelum District, Punjab. Aapko pata hona chahiye ki yeh kisne banaya tha? Yeh Sher Shah Suri ne banaya tha 1541 se 1548 ke darmiyaan jinone rule kiya tha.
[48:04]Aur UNESCO ka jo World Heritage Site hai wo kahan par isko 1997 ke andar UNESCO World Heritage Site kaha gaya tha jo ki prevent kiya gaya tha Humayun from returning to India. Iske ilawa aapko other famous forts ka pata hona chahiye jo ki Lahore Fort hai jo ki Mughal Era ke andar bana. Derawar Fort hai jo ki Bahawalpur ke andar located hai.
[48:22]Ranikot Fort jo hai wo Sindh ke andar located hai. Ali Fort jo tha jo ki Hunza, Gilgit-Baltistan ke andar located hai. Mound of the Dead jo ki Mohenjo-Daro hai jo ki Sindh ke andar located hai. Question number 42 hamare paas hai, When did Pakistan first join the OIC (Organisation of Islamic Cooperation)?
[48:39]Pakistan ne first join kiya OIC (Organization of Islamic Cooperation)? So we have the right answer, option number C, 1969 - founding member. Iske ilawa aapko pata hona chahiye ki OIC kab bani thi? Al-Aqsa jo ki Pakistan ka first jo tha hamara Qibla bhi hai uske attack hua uske baad OIC ko found kiya gaya.
[48:53]Yeh kahan par located hai? Yeh kahan par bani thi Rabat, Morocco ke andar bani thi. Iska headquarter kahan par hai? Jeddah ke andar hai. Iske andar kitni countries hain? 57 members hain aur jo largest jo hai uske Muslim inter-government organization hai yeh. Pakistan ka jo role OIC ke andar kya hai? Pakistan ne do second time jo tha OIC summit ko jo hai tha host kiya tha 1974 ke andar Lahore ke andar jisne Palestinian jo cause the unke andar kafi help out kiya tha.
[49:20]Pakistan ne other organization ko kab join kiya? UN ko 1947 mein. Commonwealth 1947 mein. SAARC 1985. WTO 1995 aur SCO 2017 ke andar Pakistan ne join kiya. Question number 43 hamare paas hai, Manchar Lake is located in which province of Pakistan?
[49:38]Manchar Lake Pakistan ki kis province ke andar located hai? So we have the right answer, option number D, Sindh (Dadu District). Aapko iske ilawa aur bhi question aa sakte hain ki Manchar Lake kya hai? Pakistan ki largest fresh water lake hai. Yeh kahan par located hai? Dadu district Sindh ke andar. Mangla Dam jo hai wo kahan par hai? Wo iske upar hai.
[49:54]Jhelum River ke upar hai, Mirpur, Azad Kashmir ke andar second largest dam hai. Then aapko Tarbela Dam ka pata hona chahiye jo ki Indus River ke upar hai jo ki Pakistan ka largest dam hai. Then aapko Diamer Bhasha Dam ka pata hona chahiye jo ki Indus River ke upar hai, Gilgit-Baltistan ke andar under construction hai. Then aapko Warsak Dam ka pata hona chahiye jo ki Kabul River ke upar hai.
[50:17]Rawal Dam ka pata hona chahiye jo ki Korang River, Islamabad ke upar located hai. Then aapko Keenjhar Lake ka pata hona chahiye jo ki Sindh ki second largest fresh water lake hai aur Lake Saif-ul-Malook jo ki Kaghan Valley of KPK ke andar located hai. Question number 44 hamare paas hai, How many letters were exchanged between Quaid-e-Azam and Gandhi during their correspondence?
[50:37]So we have the right answer, option number C, 11 letters (1944 Gandhi-Jinnah Talks). Aapko pata hona chahiye ki 11 letters exchange hue the. Gandhi ne jo tha wo visit kiya tha Jinnah ko Mumbai ke andar talks ke liye lekin fail ho gaye the agree karne pe Pakistan banne ke upar.
[50:52]Aur Gandhi ki position jo thi wo United India ki thi lekin jo Quaid-e-Azam chahte the wo kya chahte the? Muslim separate apna homeland apna separate electorate pesh kare. Quaid-e-Azam jo the famous quote tha Pakistan ka matlab kya? La ilaha illallah. 11th August 1947 speech ka ek title aapko pata hona chahiye ki you are free to go to your temples, mosques it is C jo ki Quaid-e-Azam ki ek famous speech hai ki aap Azad hain apne mandaron mein jaane ke liye apne masjido mein jaane ke liye.
[51:17]Aur Jinnah ko kya kaha jata hai? Ambassador of Hindu-Muslim Unity bhi kaha jata hai jo ki kisne title diya Sarojini Naidu ne aur Jinnah Nehru talks kab hui aur fail kab hui? Toh aapko pata hona chahiye Jinnah Nehru talks 1946 ke andar hui aur jo ki fail ho gayi thi. Question number 45 hamare paas hai, What is the synonym of "Reluctant"?
[51:33]Reluctant ka synonym kya hai? So we have the right answer, option number B, Hesitant / Unwilling. Reluctant ka synonym kya hai? Unwilling ya hesitant to do something. Iske ilawa aapko synonym aur bhi aa sakte hain, hesitant hote hain, unwilling hote hain, loath hote hain, Disinclined.
[51:48]Iske antonyms hote hain eager hote hain, willing hote hain, keen hote hain. Iske ilawa aapko gorgeous ka synonym pata hona chahiye beautiful. Reluctant ka Hesitant. Leisure ka free time. Scarce ka rare. Ally ka partner aur obstinate ka stubborn. Iske ilawa aapko iska stubborn ka obstinate ka aapko antonym pata hona chahiye jiska antonym hamare paas kya hota hai? Flexible.
[52:09]Question number 46 hamare paas hai, What is the antonym of "Scarce"? So we have the right answer, option number C, Abundant / Plentiful. Scarce ka hamare paas antonym kya hai? Yeh hamare paas hai abundant.
[52:16]Iske common antonym aur bhi hote hain jo ki hamare paas aate hain jaise wild ka tame, opaque ka transparent, scarce ka abundant, magnanimous ka petty, diligent ka lazy, reluctant ka eager, laborious ka easy, obstinate ka flexible, abhorrent ka admirable, loquacious ka taciturn, opulent ka poor aur ally ka foe. Aapne in sab ko achi tarah yaad karke jaana hai. Aapko inke related bhi questions aa sakte hain.
[52:43]Question number 47 hamare paas hai, What is the synonym of "Gorgeous"? So we have the right answer, option number C, Magnificent / Stunning / Beautiful.
[52:51]Gorgeous ka matlab kya hota hai? Extremely beautiful hona. Iske ilawa aapko aur bhi synonyms pata hone chahiye jo ki isko magnificent and splendid hai, dazzling hai, breathtaking hai. Iske antonyms hote hain ugly, plain, hideous. Iske ilawa aapko more vocabulary aapke paas hone chahiye jo ki PMA level ke upar questions aate hain.
[53:08]Delicate ka fragile hota hai synonym. Keen ka eager/sharp hota hai. Serene ka calm/peaceful. Vibrant ka lively/bright. Diligent ka hardworking. Pristine ka perfectly clean. Aur Exquisite ka extremely beautiful/bright aur Radiant ka glowing. Question number 48 hamare paas hai, If the radius of a circle is doubled, what happens to its area?
[53:27]Agar jo hai radius of the circle jo double kar diya jaye to iske area pe kya effect aayega? So we have the right answer, option number C, Area becomes 4 times (quadrupled). Iska area jo hai wo 4 time increase kar jayega.
[53:36]Kyun? Area ka jo formula hota hai hamare paas pi r square hota hai. Agar r hamare paas 2r ho jayega to hamare paas kya answer aayega? 4 pi r square jo ki 4 times of its original hai. Iske ilawa aapko circumference ka pata hona chahiye jiska formula hota hai 2 pi r. Agar hum radius double karenge toh hamare paas yeh bhi kya ho jayega? Double ho jayega. Then aapko similar rules aapko pata hone chahiye.
[53:56]Ke jaise humne Area of Rectangle kaise calculate karte hain? Length into width. Area of Triangle 1 over 2 base into height. Area of Equilateral Triangle under root 3 over h multiply by a square. Iske ilawa aapko pata hona chahiye ke eccentricity of circle kitni hoti hai? 0. Ellipse ki kitni hoti hai? 0 to 1. Hyperbola ki greater than 1 aur parabola ki equal to 1.
[54:16]Question number 49 hamare paas hai, What is 3P2 (Permutation of 3 taken 2 at a time)? So we have the right answer, option number B, 6. Iska formula kya hota hai? nPr is equal to n factorial over n minus r factorial. Toh 3P2 kya ho jayega hamare paas? 6. Iske ilawa aapko combination formula pata hona chahiye ki nCr jo ki hamare paas kiske barabar hota hai? n factorial over r factorial into n minus r factorial. Then aapko key permutations pata hona chahiye ki 3P2 hamare paas 6 hota hai, 4P2 12 hota hai, 5P2 20 hota hai.
[54:49]Iske ilawa aapko different permutation ka order pata hona chahiye combination order jo hai wo matter nahi karta lekin aapko pata hona chahiye ki zero factorial one ke barabar hota hai, one ka one ke barabar hota hai, two ka two ke barabar, three ka six ke barabar, four ka 24 aur five ka 120 ke barabar. Question number 50 hamare paas hai, What is the cross product of two parallel vectors?
[55:09]So we have the right answer, option number C, Zero vector (null vector). Iska cross product of parallel vectors zero vector hota hai ya null vector. Kyun? Kyunki aapko pata hona chahiye ki angle between them kya hota hai? Zero hota hai ya 180 degree hota hai jo ki sin zero aur sin 180 hamare paas kiske barabar hota hai? Zero jiske wajah se hum isko kya kehte hain? Zero vector aur null vector.
[55:23]Iske ilawa aapko cross product ka formula pata hona chahiye ki a into b is equal to a b sin theta. Jaisa ki abhi humne discuss kiya sin zero aur sin 180 hamare paas kiske barabar hota hai? Zero jiske wajah se total hamare paas kya aa jayega? Zero vector aa jayega. Dot product ka aapko pata hona chahiye wo bhi zero hoga. Isi tarah aapko cross product jo of perpendicular vectors ka pata hona chahiye wo ke maximum hota hai aur scalar dot product kis ke barabar hota hai? A dot b is equal to a b cos theta. Iske ilawa aapko product of matrix across inverse ka pata hona chahiye jo ki hamare paas kiske barabar hota hai? Identity matrix ke. Iske ilawa transpose of column ka pata hona chahiye jo ki hamare paas kiske equal column matrix kiske barabar hota hai? Transpose row matrix ke. Isi tarah iska vice versa row matrix ka transpose kiske barabar hoga? Column matrix ke.
