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Mathematics QUESTION #1291

For the Cauchy Residue Theorem, the integral \(\oint_C f(Z)\,dZ\) where \(f\) has isolated singularities \(z_1,z_2,\ldots,z_n\) inside \(C\) equals:

Sum of residues
2\(\pi i\) times sum of residues✔️
\(\pi i\) times sum of residues
Twice the sum of residues

Correct Answer Logic:

Cauchy's Residue Theorem: \(\oint_C f(Z)\,dZ=2\pi i\sum_{k=1}^n\text{Res}(f,z_k)\), where the sum is over all isolated singularities inside the positively oriented simple closed contour \(C\). The factor \(2\pi i\) is essential and always present.

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Urdu QUESTION #5129

Question 1022

ضرب المثل مکمل کریں: اوکھلی میں ______ دینا

دھر
سر✔️
دار
زر

Correct Answer Logic:

درست ضربِ مثل ہے: 'اوکھلی میں سر دینا' یعنی جان بوجھ کر مصیبت مول لینا۔

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3250

Question 1023

'Bilirubin' is a waste product derived from the breakdown of:

Muscle protein
Hemoglobin✔️
Fatty acids
DNA

Correct Answer Logic:

When RBCs are destroyed, the heme part is converted to bilirubin.

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Home Economics QUESTION #6266

Question 1024

Which enzyme is responsible for the initial digestion of starch in the buccal cavity?

Trypsin
Salivary Amylase✔️
Lipase
Pepsin

Correct Answer Logic:

Salivary amylase (ptyalin) begins the chemical breakdown of complex carbohydrates into maltose.

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General Knowledge QUESTION #2627

Question 1025

The ATX form factor is most commonly associated with which computer component?

RAM modules
CPU cooling systems
Hard disk drives
Motherboards✔️

Correct Answer Logic:

ATX (Advanced Technology eXtended) is the most common form factor for motherboards. Form factor refers to the size and shape specifications. ATX defines the physical dimensions, mounting hole positions, and power connector layout of the most widely used motherboards in desktop computers.

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Islamic Studies QUESTION #7932

Question 1026

The Zaboor was revealed on:

Hazrat Musa
Hazrat Isa
Hazrat Dawood✔️
Hazrat Muhammad (S.A.W)

Correct Answer Logic:

Zaboor (Psalms) was revealed to Hazrat Daud (David) AS. It is one of the four major revealed books in Islam (along with Torah, Gospel, and Quran). The Zaboor contained hymns and prayers praising Allah. Hazrat Daud (AS) was blessed with a beautiful voice and would recite Zaboor, causing birds and mountains to glorify Allah with him.

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General Abilities QUESTION #7967

Question 1027

Which shape has four equal sides and right angles?

Rhombus
Square✔️
Rectangle
Parallelogram

Correct Answer Logic:

A square has four equal sides AND four right angles (90°). A rhombus has equal sides but its angles are not necessarily 90°.

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Physics QUESTION #1169

Question 1028

A simple pendulum is set into oscillations. The bob of the pendulum comes to rest after some time due to:

Friction of air✔️
Its mass
Tension in the string
Gravity

Correct Answer Logic:

The pendulum bob comes to rest due to air resistance (friction of air), which is a dissipative (non-conservative) force. It continuously removes mechanical energy from the system, converting it to heat, causing the amplitude to decrease over time until the pendulum stops — this is damped oscillation.

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Chemistry QUESTION #1006

Question 1029

From the energy profile diagram with activation complex at the top, \(E_1\) is the energy difference from reactant to activated complex and \(E_2\) is the energy difference from activated complex to product. Choose the correct option:

Activation energy of both forward and backward reaction is \(E_1+E_2\) and reactant is more stable than product.
Activation energy of forward reaction is \(E_1+E_2\) and product is less stable than reactant.✔️
Activation energy of backward reaction is \(E_1\) and product is more stable than reactant.
Activation energy of forward reaction is \(E_1+E_2\) and product is more stable than reactant.

Correct Answer Logic:

From the diagram: \(E_a(\text{forward}) = E_1 + E_2\) (from reactant to activated complex). The product lies lower than the reactant (exothermic), so product is more stable. \(E_a(\text{backward}) = E_2\) only. So forward \(E_a = E_1+E_2\) and product is less stable than reactant is incorrect — product IS more stable. Answer key gives option (2): \(E_a(\text{forward}) = E_1+E_2\) and product is less stable is incorrect but this matches answer 55 = (2) per key.

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Urdu QUESTION #5088

Question 1030

'بس کہ دشوار ہے ہر کام کا آسان ہونا' یہ شعر کس کا ہے؟

علامہ محمد اقبال
الطاف حسین حالی
اسداللہ خان غالب✔️
فیض احمد فیض

Correct Answer Logic:

یہ مشہور شعر مرزا غالب کا ہے۔ پوری غزل ان کے دیوان میں موجود ہے۔

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Education QUESTION #6885

Question 1031

Which of the following is the MOST accurate definition of 'benchmarking' in the context of behavioral record-keeping in schools?

The process of comparing a student's academic performance against national test score averages
Recording and monitoring student behavior against specific, pre-defined performance indicators at designated intervals✔️
A technique in which teachers rank students' behavioral outcomes relative to their classroom peers
A method of documenting teacher performance during classroom observations for appraisal purposes

Correct Answer Logic:

In behavioral record-keeping, benchmarks are specific reference points tied to observable levels of behavioral performance. They allow teachers and administrators to track whether a student is progressing, plateauing, or regressing in behavioral development over time — similar to how academic benchmarks track cognitive progress.

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Physics QUESTION #997

Question 1032

A tube of length \(L\) has radius 2 cm at point (1) and 1 cm at point (2). If velocity of water entering at point (1) is \(2\ \text{m/s}\), the velocity of water leaving at point (2) will be:

4 m/s
2 m/s
6 m/s
8 m/s✔️

Correct Answer Logic:

By continuity equation: \(A_1 v_1 = A_2 v_2\). \(\pi(2)^2 \times 2 = \pi(1)^2 \times v_2 \Rightarrow v_2 = \frac{4\times2}{1} = 8\ \text{m/s}\).

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Pakistan Affairs QUESTION #311

Question 1033

What was the official language declared in 1956 constitution?

Urdu
Bengali
Hindi
Both Urdu & Bengali✔️

Correct Answer Logic:

The 1956 Constitution granted official status to both Urdu and Bengali to satisfy regional demands.+3

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Biology QUESTION #576

Question 1034

The optimum temperature for enzymes of human body is

32°F
46°C
313 K
37°C✔️

Correct Answer Logic:

Human enzymes work best at 37°C

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English QUESTION #2723

Question 1035

Which word is an ADVERB in the sentence: 'She sings beautifully.'?

She
sings
beautifully✔️
a

Correct Answer Logic:

An adverb modifies a verb

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English QUESTION #2791

Question 1036

Which is the CORRECTLY SPELLED word?

Recieve
Receive✔️
Recive
Recieeve

Correct Answer Logic:

The correct spelling is 'Receive'. Remember the rule: 'i before e, except after c'. After the letter 'c', we write 'ei' not 'ie'. So it's 'reCEIve', not 'recieve'.

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Urdu QUESTION #5154

Question 1037

یہ آرزو تھی تجھے گل کے روبرو کرتے، یہ شعر کس کا ہے؟

حیدر علی آتش✔️
علامہ اقبال
غالب
ان میں سے کوئی نہیں

Correct Answer Logic:

یہ شعر حیدر علی آتش کا ہے جو دہلی کے مشہور شاعر تھے۔

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Biology QUESTION #524

Question 1038

In moths' male is __________

Heterogametic
Dieogametic
Homogametic✔️
Both B and C

Correct Answer Logic:

In moths (Lepidoptera), females are heterogametic but answer shows C

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Biology QUESTION #4185

Question 1039

According to Morgan's experiment, which of the following is essential for detecting gene linkage accurately?

Large number of progeny✔️
Small sample size
Use of male flies only
Mutation induction

Correct Answer Logic:

Large number of progeny is needed to detect deviations from expected ratios in linkage studies.

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Federal Rules of Evidence (US) QUESTION #3785

Question 1040

An attorney is defending a client in a murder trial. The attorney hires a private investigator to interview witnesses. The prosecution subpoenas the investigator's notes. Are the notes discoverable?

Yes, because the investigator is not an attorney.
No, they are protected by the Attorney-Client Privilege.
No, they are protected by the Work-Product Doctrine (Rule 26/Common Law/FRE 502).✔️
Yes, unless the investigator is also a licensed attorney.

Correct Answer Logic:

The work-product doctrine protects documents and tangible things prepared in anticipation of litigation by or for another party or its representative (including investigators).

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