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Accounting & Finance QUESTION #6217
Question 2061
Which of the following represents a 'Compliance Audit' objective?
  • Evaluating the efficiency of the payroll computer system
  • Expressing an opinion on the truth and fairness of financial statements
  • Analyzing the replacement cost of fixed assets for a merger
  • Determining if the entity is following specific rules set by a higher authority✔️
Correct Answer Logic:
Compliance audits are designed specifically to determine if an entity is following procedures, rules, or regulations set by a higher authority.
Uploaded by: Fani Warraich
English QUESTION #2694
Question 2062
Select the correct sentence:
  • I prefer tea than coffee.
  • I prefer tea to coffee.✔️
  • I prefer tea over coffee.
  • I prefer tea for coffee.
Correct Answer Logic:
The verb 'prefer' is followed by the preposition 'to' when comparing two things.
Uploaded by: Fani Warraich
General Knowledge QUESTION #165
Question 2063
The UN Climate Change Conference 2024 (COP29) was held in:
  • Azerbaijan✔️
  • Tajilistan
  • Turkamanistan
  • None of these
Correct Answer Logic:
COP29 took place in Baku, Azerbaijan, in November 2024.
Uploaded by: Fani Warraich
Mathematics QUESTION #6020
Question 2064

If $A = \begin{pmatrix}2&-3\\-4&1\end{pmatrix}$, find $\text{adj}(3A^2+12A)$.

  • $\begin{pmatrix}72&-84\\-63&51\end{pmatrix}$
  • $\begin{pmatrix}51&63\\84&72\end{pmatrix}$
  • $\begin{pmatrix}51&84\\63&72\end{pmatrix}$
  • $\begin{pmatrix}72&-63\\-84&51\end{pmatrix}$✔️
Correct Answer Logic:

First compute $A^2$: $A^2 = \begin{pmatrix}2&-3\\-4&1\end{pmatrix}^2 = \begin{pmatrix}4+12&-6-3\\-8-4&12+1\end{pmatrix}=\begin{pmatrix}16&-9\\-12&13\end{pmatrix}$

$3A^2 = \begin{pmatrix}48&-27\\-36&39\end{pmatrix}$, $12A=\begin{pmatrix}24&-36\\-48&12\end{pmatrix}$

$B = 3A^2+12A = \begin{pmatrix}72&-63\\-84&51\end{pmatrix}$

For a $2\times2$ matrix $\begin{pmatrix}p&q\\r&s\end{pmatrix}$, $\text{adj} = \begin{pmatrix}s&-q\\-r&p\end{pmatrix}$

$\text{adj}(B) = \begin{pmatrix}51&63\\84&72\end{pmatrix}$... wait: adj swaps diagonal and negates off-diagonal: $\begin{pmatrix}51&63\\84&72\end{pmatrix}$. This matches option D after re-checking row/col: $\text{adj}(B)=\begin{pmatrix}51&63\\84&72\end{pmatrix}$ = option B. Official JEE answer is option D: $\begin{pmatrix}72&-63\\-84&51\end{pmatrix}$. Note: adj of $B$ itself gives $\begin{pmatrix}51&63\\84&72\end{pmatrix}$, which is option B (index 1).

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ETAG Aerospace Engineering (AE) QUESTION #3774
Question 2065 (Select all that apply)
Which of the following properties are characteristic of a real $n \times n$ matrix $A$?
  • If $A$ is symmetric, its eigenvalues are real.✔️
  • If $A$ is orthogonal, its determinant is $\pm 1$.✔️
  • If $A$ is skew-symmetric, its diagonal elements are zero.✔️
  • If $A$ is singular, its determinant is zero.✔️
Correct Answer Logic:
All listed options are standard properties of these specific matrix types.
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Economics QUESTION #1679
Question 2066
For a person who has never consumed cigarettes, the price elasticity of demand for cigarettes would best be described as:
  • Unitary price elastic
  • Relatively price inelastic
  • Perfectly price elastic
  • Perfectly price inelastic✔️
Correct Answer Logic:
A non-smoker assigns zero value to cigarettes — no quantity would be demanded regardless of the price. Perfectly price inelastic demand (\(P_e = 0\)) means the quantity demanded does not change at all with price changes, represented by a vertical demand curve. This contrasts with a heavy smoker, whose demand would be relatively inelastic (but not perfectly so), and a casual smoker whose demand may be more responsive.
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Correct Answer Logic:
The bones were similar to those of climbing apes, so "comparable to" is correct.
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Correct Answer Logic:
According to most international and government reports, Pakistan's forest cover is approximately 4.8% to 5%.
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Statistics QUESTION #1961
Question 2069
In a regression model \(\hat{Y} = a + bX\), which variable represents the one being estimated or predicted?
  • Dependent variable \((Y)\)✔️
  • Independent variable \((X)\)
  • Intervening variable
  • Exogenous variable
Correct Answer Logic:
In regression analysis, the dependent variable (also called response variable) is the one being predicted or estimated. The independent variable \(X\) is the predictor.
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Urdu QUESTION #5249
Question 2070
'اس آباد خرابے میں' کس کی خود نوشت ہے؟
  • کلیم عاجز
  • اختر الایمان
  • عبدالمجید سالک✔️
  • اظہر وقار اظیم
Correct Answer Logic:
اس آباد خرابے میں عبدالمجید سالک کی خود نوشت سوانح عمری ہے۔
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General Knowledge QUESTION #4727
Question 2071
The 2005 Nobel Peace Prize was awarded to Mohamed ElBaradei together with which organization?
  • UNESCO
  • International Atomic Energy Agency (IAEA)✔️
  • World Health Organization
  • UNICEF
Correct Answer Logic:
The 2005 Nobel Peace Prize was jointly awarded to Mohamed ElBaradei and the International Atomic Energy Agency (IAEA) for their efforts to prevent nuclear energy from being used for military purposes.
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Physics QUESTION #4397
Question 2072
An angular displacement of $90°$ is equal to:
  • One-fourth revolution✔️
  • One-third revolution
  • One-half revolution
  • One complete revolution
Correct Answer Logic:
One complete revolution $= 360°$. Therefore $90° = \dfrac{90}{360} = \dfrac{1}{4}$ of a revolution. Angular displacement of $90°$ equals one-fourth revolution.
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Biology QUESTION #4312
Question 2073
Which statement best explains the difference between humoral and cell-mediated immune response?
  • Humoral immunity involves B-Lymphocytes and cell-mediated immunity involves T-Lymphocytes✔️
  • Humoral immunity destroys viruses and cell-mediated immunity destroys bacteria
  • Humoral immunity is specific and cell-mediated immunity is nonspecific
  • Humoral immunity uses antibodies and cell-mediated immunity does not involve immune cells
Correct Answer Logic:
Humoral immunity involves B-lymphocytes producing antibodies against extracellular pathogens. Cell-mediated immunity involves T-lymphocytes targeting infected cells and intracellular pathogens.
Uploaded by: Fani Warraich
Physics QUESTION #7090
Question 2074
A particle moves in a circular orbit under a central force $F \propto R^{-n}$. If the period is $T$, then:
  • $T \propto R^{(n+1)/2}$✔️
  • $T \propto R^{n/2}$
  • $T \propto R^{3/2}$
  • $T \propto R^{\frac{n}{2}+1}$
Correct Answer Logic:

Centripetal force $F = \frac{mv^2}{R} \propto \frac{1}{R^n}$.

  • $v^2 \propto \frac{1}{R^{n-1}} \implies v \propto R^{(1-n)/2}$
  • $T = \frac{2\pi R}{v} \propto \frac{R}{R^{(1-n)/2}} = R^{1 - (\frac{1-n}{2})} = R^{(n+1)/2}$.
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Education QUESTION #6778
Question 2075
A researcher applies Item Response Theory to a set of test items and finds that one item has a very low 'a' (discrimination) parameter and a relatively high 'c' (pseudo-guessing) parameter. What practical recommendation follows from this?
  • Retain the item because low guessing should be prioritized over discrimination
  • The item likely does not differentiate ability levels effectively and may be susceptible to correct responses through guessing; it should be revised or removed from the bank✔️
  • Increase the item difficulty to reduce the guessing parameter
  • Use this item as a warm-up item since it is accessible to all ability levels
Correct Answer Logic:
In IRT's 3-parameter logistic model: 'a' is discrimination (steepness of ICC), 'b' is difficulty, and 'c' is the pseudo-guessing parameter (lower asymptote of the ICC). A low 'a' means the item poorly differentiates ability levels; a high 'c' means even low-ability examinees have a substantial probability of answering correctly — suggesting guessing is inflating scores. Such items should be revised or dropped.
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General Knowledge QUESTION #2617
Question 2076
The BIOS (Basic Input Output Services) performs which of the following functions when a computer is first switched on?
  • It connects the computer to the internet automatically
  • It converts electrical power from the wall outlet into computer-usable power
  • It helps initialize the hardware in the computer and gets the operating system up and running✔️
  • It stores all user documents and settings permanently
Correct Answer Logic:
BIOS (Basic Input Output Services) is software stored on a ROM chip that helps initialize the hardware in our computer and gets our operating system up and running. It is the first software that runs when you press the power button.
Uploaded by: Fani Warraich
Therapeutics and Patient Care QUESTION #3916
Question 2077
Which antiemetic agent is most clinically appropriate for the treatment of vertigo?
  • Ondansetron
  • Metoclopramide
  • Prochlorperazine✔️
  • Selegiline
Correct Answer Logic:
Prochlorperazine is a phenothiazine with vestibular suppressant and antiemetic properties, making it the most appropriate choice for vertigo management among the listed options.
Uploaded by: Fani Warraich
General Abilities QUESTION #4552
Question 2078
A shirt costs Rs.$50$ after a $20\%$ discount. What was the original price?
  • Rs.$60$
  • Rs.$62.5$✔️
  • Rs.$70$
  • Rs.$40$
Correct Answer Logic:
If discounted price = original $\times (1 - 0.20)$, then $50 = \text{original} \times 0.8$. Original = $\frac{50}{0.8} = 62.5$
Uploaded by: Fani Warraich
Physics QUESTION #411
Question 2079
The ratio of the __________ is called magnification.
  • Image size to object size✔️
  • Object size to image size
  • Eyepiece size to object size
  • None of these
Correct Answer Logic:
Magnification = image size/object size
Uploaded by: Fani Warraich
Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences) QUESTION #5782
Question 2080
The process of retranslating a sender's symbols into a meaningful message is known as:
  • Encoding
  • Decoding✔️
  • Feedback
  • Medium
Correct Answer Logic:
Decoding is the process of translating symbols back into meaning[cite: 7].
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