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Mathematics QUESTION #6982

Two cards are drawn one after another with replacement from a well-shuffled standard deck of 52 cards. Let $X$ be the number of aces obtained. Find $P(X=1)+P(X=2)$.

$\dfrac{49}{169}$
$\dfrac{52}{169}$
$\dfrac{24}{169}$
$\dfrac{25}{169}$✔️

Correct Answer Logic:

$p=P(\text{ace})=\dfrac{4}{52}=\dfrac{1}{13}$, $q=\dfrac{12}{13}$. Binomial with $n=2$.

$P(X=1)=\binom{2}{1}\cdot\dfrac{1}{13}\cdot\dfrac{12}{13}=\dfrac{24}{169}$

$P(X=2)=\binom{2}{2}\cdot\left(\dfrac{1}{13}\right)^2=\dfrac{1}{169}$

$P(X=1)+P(X=2)=\dfrac{24}{169}+\dfrac{1}{169}=\dfrac{25}{169}$

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MCQs Section QUESTION #5060

Question 4242

درست ضربِ مثل کی نشاندہی کریں۔

چیل کے گھونسلے میں ماس کہاں
چیل کے گھونسلے میں بوٹی کہاں
چیل کے گھونسلے میں گوشت کہاں✔️
ان میں سے کوئی نہیں

Correct Answer Logic:

درست ضربِ مثل ہے: 'چیل کے گھونسلے میں گوشت کہاں' جو کنجوس یا ظالم کے ہاں بھلائی نہ ملنے کے معنی میں بولی جاتی ہے۔

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Math Physics Chemistry Biology QUESTION #7749

Question 4243

Sharks belong to which class of vertebrates?

Chondrichthyes✔️
Echinodermata
Osteichthyes
Urochordata

Correct Answer Logic:

Class Chondrichthyes includes cartilaginous fish (sharks, rays). Osteichthyes are bony fish. Echinodermata are starfish etc.; Urochordata are tunicates.

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Planning QUESTION #4993

Question 4244

What is the primary limitation of the Concentric Zone Model (Burgess Model)?

Ignores transportation corridors
Assumes monocentric development only✔️
Overemphasizes industrial zones
Excludes residential areas

Correct Answer Logic:

The Burgess Concentric Zone Model (1925) assumes a single central business district with zones expanding outward in concentric circles, failing to account for multiple nuclei, sector development along transport routes, or polycentric urban forms common in modern cities.

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Information Technology QUESTION #1121

Question 4245

What is the correct data structure for implementing Huffman algorithm?

Priority queue✔️
Linked list
Binary Tree
None of these

Correct Answer Logic:

Huffman coding uses a Priority Queue to efficiently select the two nodes with the lowest frequencies to build the Huffman tree.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3327

Question 4246

'Culture' in microbiology refers to:

The beliefs of the scientist
The growth of microorganisms in a nutrient medium✔️
The cleaning of lab equipment
The study of viruses only

Correct Answer Logic:

A culture can be liquid (broth) or solid (agar).

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General Knowledge QUESTION #8698

Question 4247

What is 'Tilla Jogian' famous for?

A peak in the Sulaiman Range
Mention in the epic Heer Ranjha by Waris Shah
Place where Buddha spent 40 days in seclusion
All of these✔️

Correct Answer Logic:

Tilla Jogian has all these associations.

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Civil Procedure QUESTION #3746

Question 4248

An individual wants to sue the government to challenge a new law that increases taxes on gasoline. The individual's only injury is that they pay $\text{\$50}$ more per year for gas. Does the individual have standing?

Yes, any taxpayer has standing to challenge any tax.
No, because the injury is a 'generalized grievance' shared by millions of others.✔️
Yes, because $\text{\$50}$ is a concrete 'injury in fact.'
No, because taxes are 'political questions.'

Correct Answer Logic:

Taxpayers generally lack standing to challenge government spending or taxing unless they can show a specific, concrete, and individualized injury. A small increase in gas tax shared by all drivers is a generalized grievance.

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Boilers Mechanical Engineering QUESTION #2534

Question 4249

For a particle moving in polar coordinates $(r,\theta)$, the transverse component of acceleration $a_\theta$ is:

$a_\theta = \ddot{r} - r\dot{\theta}^2$
$a_\theta = r\ddot{\theta} + 2\dot{r}\dot{\theta}$✔️
$a_\theta = r\ddot{\theta} - 2\dot{r}\dot{\theta}$
$a_\theta = \ddot{\theta}/r$

Correct Answer Logic:

In polar coordinates, acceleration components are: radial $a_r=\ddot{r}-r\dot{\theta}^2$ and transverse $a_\theta=r\ddot{\theta}+2\dot{r}\dot{\theta}$. The term $2\dot{r}\dot{\theta}$ is the Coriolis acceleration component in polar form.

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Maths QUESTION #4515

Question 4250

Simplify: $2^3 \times 2^4$

$2^{12}$
$2^7$✔️
$4^7$
$2^{64}$

Correct Answer Logic:

Using law of exponents: $b^m \times b^n = b^{m+n}$. So $2^3 \times 2^4 = 2^{3+4} = 2^7$

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Chemistry QUESTION #4373

Question 4251

Which one of the following is NOT a characteristic of benzene?

Aromaticity
Stability
To follow Hückel rule
High reactivity✔️

Correct Answer Logic:

Benzene ($C_6H_6$) is characterized by aromaticity, stability (due to delocalized $\pi$ electrons), and follows Hückel's rule ($4n+2\ \pi$ electrons, $n=1$). Benzene has LOW reactivity (not high) — it prefers substitution over addition to preserve aromaticity.

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Geography QUESTION #1248

Question 4252

Fossils are never found in:

Shale
Granite✔️
Sandstone
None of these

Correct Answer Logic:

Fossils are only found in sedimentary rocks (such as shale, sandstone, limestone) because they form from the gradual burial and compression of organic remains in sediments. Granite is an igneous rock formed from the cooling of magma at high temperatures and pressures — any organic material would be destroyed under such conditions. Therefore fossils are never found in granite or other igneous/metamorphic rocks.

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Logical Reasoning QUESTION #3953

Question 4253

The artist found that the _____ of the city's architecture was a stark contrast to the _____ of the rural landscape.

grandeur...simplicity✔️
chaos...vibrancy
monotony...variety
rigidity...fluidity

Correct Answer Logic:

No explanation provided for this question.

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Islamic Studies QUESTION #656

Question 4254

The conqueror of North Africa was:

Khalid bin Walid
Uqba bin Nafi✔️
Tariq bin Ziyad
None of these

Correct Answer Logic:

Uqba bin Nafi is famously known for his conquests in North Africa and founding Kairouan.

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Verbal Reasoning QUESTION #8078

Question 4255

Compare the quantities:

Column A: $\sqrt{x^4 + 6x^2 + 9}$

Column B: $x^2 + 3$

Column A is greater
Column B is greater
The two quantities are equal✔️
The relationship cannot be determined

Correct Answer Logic:

Notice that the expression under the square root is a perfect square:

$x^4 + 6x^2 + 9 = (x^2)^2 + 2(x^2)(3) + 3^2 = (x^2 + 3)^2$

Therefore: $\sqrt{x^4 + 6x^2 + 9} = \sqrt{(x^2 + 3)^2} = |x^2 + 3|$

Since $x^2 \geq 0$ for all real $x$, we have $x^2 + 3 \geq 3 > 0$, which means $x^2 + 3$ is always positive.

Thus: $|x^2 + 3| = x^2 + 3$

Therefore, Column A equals Column B, so the answer is C (the two quantities are equal).

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Nursing QUESTION #9141

Question 4256

A pregnant woman is found to have gestational diabetes mellitus (GDM). Her fasting blood glucose is 5.8 mmol/L and 2-hour post-glucose load is 9.2 mmol/L on OGTT. Initial management should be:

Insulin therapy immediately
Medical Nutrition Therapy (MNT) + physical activity for 2 weeks, then reassess✔️
Oral metformin 500 mg twice daily
No treatment needed as values are within acceptable GDM range

Correct Answer Logic:

Gestational Diabetes Mellitus (GDM) — Diagnosis by OGTT (WHO 2013 / IADPSG criteria):

Test	Threshold	This Patient
Fasting	$\geq 5.1\,\text{mmol/L}$	$5.8\,\text{mmol/L}$ ✓
1-hour	$\geq 10.0\,\text{mmol/L}$	Not tested
2-hour	$\geq 8.5\,\text{mmol/L}$	$9.2\,\text{mmol/L}$ ✓

Initial Management (NICE/ADA guidelines):

Medical Nutrition Therapy (MNT): Carbohydrate control (40–45% of calories), low GI foods, 3 meals + 2–3 snacks/day
Physical activity: 30 min moderate exercise daily (e.g., walking)
Self-monitoring blood glucose (SMBG) 4× daily
Reassess in 1–2 weeks

Target glucose levels:

Fasting: $\leq 5.3\,\text{mmol/L}$
1-hour post-meal: $\leq 7.8\,\text{mmol/L}$
2-hour post-meal: $\leq 6.7\,\text{mmol/L}$

If targets not met with MNT after 2 weeks → Add insulin (preferred) or metformin. Insulin does not cross placenta; metformin does but is used in many guidelines.

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Physics QUESTION #1041

Question 4257

De-Broglie wavelength of an electron in $n=2$ state of hydrogen atom is close to (Bohr radius $= 0.052\ \text{nm}$):

1.67 nm
2.67 nm
0.067 nm
0.67 nm✔️

Correct Answer Logic:

In Bohr model: $2\pi r_n = n\lambda$. For $n=2$: $r_2 = 4r_0 = 4\times0.052 = 0.208\ \text{nm}$. $\lambda = \frac{2\pi r_2}{2} = \pi r_2 = \pi\times0.208\times10^{-9}\approx0.653\ \text{nm}\approx0.67\ \text{nm}$.

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Physical Education QUESTION #6814

Question 4258

In modern Physical Education, the 'Psychomotor Domain' refers to:

The memorization of sports history
The development of manual and physical skills and coordination✔️
The emotional response to losing a game
The ability to write a research paper on biomechanics

Correct Answer Logic:

The psychomotor domain focuses on the link between cognitive processes and physical movement/coordination.

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Chemistry QUESTION #1439

Question 4259

An allosteric enzyme:

Follows Michaelis-Menten kinetics
Is regulated by molecules that bind to a site other than the active site✔️
Is always inhibited by competitive inhibitors
None of these

Correct Answer Logic:

Allosteric enzymes are regulated by effector molecules (activators or inhibitors) that bind to a site other than the active site — the allosteric site. This binding causes conformational changes that alter enzyme activity. Allosteric enzymes do NOT follow standard Michaelis-Menten kinetics; instead, they show sigmoidal (cooperative) kinetics. They are key regulatory enzymes in metabolic pathways.

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Verbal Reasoning QUESTION #8086

Question 4260

In 1950, if the printing cost per newspaper was $0.05, what would have been the total cost of printing the average daily circulation?

[Note: From the graph, average daily circulation in 1950 was 520,000 newspapers]

$32,500
$26,000✔️
$23,500
$22,000

Correct Answer Logic:

Total cost = (number of newspapers) × (cost per newspaper)

Total cost $= 520{,}000 \times 0.05$

$= 520{,}000 \times \frac{5}{100} = 520{,}000 \times \frac{1}{20} = \frac{520{,}000}{20} = 26{,}000$

Therefore, the total cost would be $26,000.

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More Options

Suggest a Question

Test	Threshold	This Patient
Fasting	\(\geq 5.1\,\text{mmol/L}\)	\(5.8\,\text{mmol/L}\) ✓
1-hour	\(\geq 10.0\,\text{mmol/L}\)	Not tested
2-hour	\(\geq 8.5\,\text{mmol/L}\)	\(9.2\,\text{mmol/L}\) ✓