LECTURER MATHEMATICS PAST PAPERS AND SYLLABUS
Lecturer Past Papers
چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- Semi group
- Subgroup
- Cyclic group
- Abelian group
اس سوال کو وضاحت کے ساتھ پڑھیں
Explanation
- The set of complex numbers {1, i, -i, -1} under multiplication operation is a cyclic group.
- Two generators i and -i will covers all the elements of this group.
- Hence, it is a cyclic group.
Last verified on 04-06-2026
- A pair of straight line
- A hyperbola
- A cylinder
- A cone
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Explanation
In 3D, if z doesn’t appear in the equation, the surface is a cylinder - it extends infinitely along the z-axis.
x² - y³ = a² doesn’t have z in it, so for every (x,y) that satisfies it, z can be anything.
Last verified on 04-06-2026
- 1 and 3
- 0 and 4
- -1 and 5
- -2 and 6
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Explanation
If one root of the equation is 2, then we can factor the left-hand side of the equation as (x - 2)(x^2 - 4x + 3) = (x - 2)(x - 1)(x - 3) = 0.
This tells us that the other two roots are 1 and 3.
Last verified on 04-06-2026
- Ignorant
- Short
- Professional
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
Explanation
- Erudite means عالم، بہت زیادہ علم رکھنے والا
- Ignorant means جاہل، کم علم رکھنے والا
Last verified on 01-05-2026
- Should
- Would have
- Would
- Can
اس سوال کو وضاحت کے ساتھ پڑھیں
Explanation
- “When she was in the university” shows a past habit.
- “Would” is used to describe repeated past actions/habits.
- So the correct sentence is: She would wake up early in the morning.
Last verified on 04-06-2026
- Devious / Dishonest
- Secretive
- Guarded
- All of these
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Explanation
- Candid means فرینک ، دیانت دار ، اور سیدھے سادے
- Secretive means خفیہ
- Guarded means محتاط اور تحفظات
- Devious means مکار
- Dishonest means بے ایمان
Last verified on 23-05-2026
- Ruinous
- Prolonged
- Beneficial
- None of the above
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Explanation
- Pernicious means نقصاندہ
- Beneficial means فائدہ مند
Last verified on 11-05-2026
جنگ بدر میں مشرکوں (غیر مسلموں) کا سردار کون تھا؟
- Abu Sufyan
- Utba
- Abu Jehal
- Hind bint Utbah
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Explanation
"Badr" means "full moon" in Arabic.
- The Battle of Badr, also called Furqan.
- The Battle of Badr is also known as The Day of the Criterion.
- Day of the Criterion means کسوٹی کا دن
- It took place on Tuesday, 13 March 624 CE (17 Ramadan, 2 AH) near the city of Badr.
- Prophet Muhammad SAW, commanding his Sahaba, defeated the Quraysh army led by Abu Jahl (Amr ibn Hishām).
- The Kufar forces numbered 1,000.
- It was the first battle of Islam, with 313-317 Muslims.
- The Muslim forces included 82-85 Muhajirun and 231 Ansar (61 from Aws and 170 from Khazraj).
- They had 2 horses and 70 camels.
- Fourteen Muslims were killed, while 70 Kufar were killed and 70 captured.
- Surah Al-Anfal mentions that Allah promised to reinforce the Muslims with 1,000 angels.
Last verified 30-03-2026 |
وہ اصطلاح جس میں ناپی گئی کارکردگی کی قدر یا مالیت کا پیشہ ورانہ فیصلہ شامل ہے؟
- Test
- Evaluation
- Assessment
- Measurement
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Explanation
Evaluation is the term that involves the systematic, professional judgment of the value, significance
- Judgment-Oriented: It determines the merit, worth, or value of a subject.
- Contextual: It uses criteria or standards to interpret performance data.
Last updated 18-02-2026
مندرجہ ذیل میں سے کون سا عضو خون کو فلٹر کرنے کا ذمہ دار ہے؟
- Intestine
- Brain
- Stomach
- Kidney
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Explanation
The kidney is the primary organ responsible for filtering blood in the human body.
Each kidney contains approximately one million microscopic units called nephrons
They actively remove metabolic wastes (such as urea and creatinine)
