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Boilers Mechanical Engineering QUESTION #2540

The parallel-axis (Steiner) theorem gives the second moment of area about an axis parallel to the centroidal axis as:

$I=\bar{I}-Ad^2$
$I=\bar{I}\cdot d^2$
$I=\bar{I}+Ad^2$✔️
$I=\frac{\bar{I}}{Ad^2}$

Correct Answer Logic:

Steiner's theorem: $I=\bar{I}+Ad^2$, where $\bar{I}$ is the centroidal second moment, $A$ is the area, and $d$ is the perpendicular distance between the axes. The second moment always increases for axes away from the centroid.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3040

Question 862

Which method is used for sterilizing heat-sensitive liquids like vaccines?

Autoclaving
Filtration✔️
Hot air oven
Direct flaming

Correct Answer Logic:

Filtration through bacteria-proof filters is used for thermolabile (heat-sensitive) liquids.

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Islamic Studies QUESTION #362

Question 863

"Ghunyat ul Talibeen" was written by the Great Sufi:

Al Ghazali
Al Sha'ahrani
Abdul Qadir Jillani✔️
Ali Hajwairi

Correct Answer Logic:

Sheikh Abdul Qadir Jillani is the author of this famous spiritual guidebook.+1

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Chemistry QUESTION #7407

Question 864

Which is the correct order for the first ionisation potential (IP₁)?

$\text{Na} > \text{Al}$
$\text{Mg} > \text{Al}$✔️
$\text{Ga} > \text{Ca}$
$\text{Mg} > \text{Be}$

Correct Answer Logic:

IE₁ irregularities:
Generally IE₁ increases left to right, but Al (3p¹) has lower IE₁ than Mg (3s²) because:

Mg has a full 3s² subshell (extra stability)
Al's 3p electron is shielded by 3s electrons and easier to remove

Therefore $\text{Mg} > \text{Al}$ is a correct and expected inequality. This is one of the classic exceptions to the smooth IE trend across period 3.

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Chemistry QUESTION #7502

Question 865

Match the compounds in Item I with their correct detection reagents in Item II:

Item I (Compound)	Item II (Reagent)
(A) Lysine	(P) 1-naphthol
(B) Furfural	(Q) Ninhydrin
(C) Benzyl alcohol	(R) KMnO$_4$
(D) Styrene	(S) Ceric ammonium nitrate

(A)→(Q); (B)→(P); (C)→(S); (D)→(R)✔️
(A)→(Q); (B)→(P); (C)→(R); (D)→(S)
(A)→(R); (B)→(P); (C)→(Q); (D)→(S)
(A)→(Q); (B)→(R); (C)→(S); (D)→(P)

Correct Answer Logic:

Matching logic:

Lysine is an amino acid — detected by ninhydrin (Q), which gives a purple colour with primary amines/amino acids.
Furfural is an aldehyde from furan — detected by 1-naphthol (P) via the Tollens-type or colour reaction specific to furfural.
Benzyl alcohol (PhCH$_2$OH) is a primary alcohol — detected by ceric ammonium nitrate (S), which gives a red colour with alcohols.
Styrene (Ph–CH=CH$_2$) has a C=C bond — oxidized by KMnO$_4$ (R), which gets decolourized.

Correct match: (A)→(Q), (B)→(P), (C)→(S), (D)→(R)

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3663

Question 866

'Latex' is a milky fluid found in special cells called:

Vessels
Laticifers✔️
Tracheids
Parenchyma

Correct Answer Logic:

Opium and Rubber are obtained from latex.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3157

Question 867

'Anemia' is a condition characterized by:

High blood sugar
Low oxygen-carrying capacity of blood✔️
High blood pressure
Excessive white blood cells

Correct Answer Logic:

Anemia is usually due to low hemoglobin or low RBC count.

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Physics QUESTION #987

Question 868

A transparent film of refractive index 2.0 is coated on a glass slab of refractive index 1.45. What is the minimum thickness of the film for maximum transmission of green light of wavelength 550 nm?

137.5 nm✔️
275 nm
94.8 nm
68.7 nm

Correct Answer Logic:

For maximum transmission (minimum reflection), destructive interference of reflected waves is needed. Since light goes from lower $n$ (air) to higher $n$ (film), and film $n >$ glass $n$, only one phase reversal occurs. Condition: $2\mu t = \lambda \Rightarrow t = \frac{\lambda}{2\mu} = \frac{550}{2\times2} = 137.5$ nm.

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Islamic Studies QUESTION #7934

Question 869

Hazrat Jaafar Tayyar was martyred in the battle of:

Yamaman
Moota✔️
Tabook
Badr

Correct Answer Logic:

Hazrat Ja'far ibn Abi Talib (RA), also known as Ja'far at-Tayyar (the one who flies), was martyred in the Battle of Mu'tah (Moota) in 8 AH (629 CE). He led the Muslim army after the martyrdom of Zaid bin Haritha (RA). Despite losing both arms, he held the flag with his body until martyred. The Prophet (PBUH) said Allah gave him wings to fly in Paradise.

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Physics QUESTION #1158

Question 870

X-rays are electromagnetic waves of wavelengths of the order of:

1 nm
0.1 nm✔️
2 nm
100 nm

Correct Answer Logic:

X-rays have wavelengths in the range of approximately $0.01\ \text{nm}$ to $10\ \text{nm}$, with a typical order of $0.1\ \text{nm}$ (1 Å). This is comparable to the spacing between atoms in crystals, which is why X-rays are used in crystallography.

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English QUESTION #8447

Question 871

Is he eligible _______ this scholarship?

with
of
at
for✔️

Correct Answer Logic:

'Eligible for' is correct.

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Mathematics QUESTION #1288

Question 872

A linear transformation $T:\mathbb{R}^3\to\mathbb{R}^2$ must satisfy, for all $\mathbf{u},\mathbf{v}\in\mathbb{R}^3$ and scalar $c$:

T($\mathbf{u}+\mathbf{v}) = T(\mathbf{u})\cdot T(\mathbf{v})$
T(c$\mathbf{u}) = c^2T(\mathbf{u})$
T($\mathbf{u}+\mathbf{v}) = T(\mathbf{u})+T(\mathbf{v})$ and $T(c\mathbf{u})=cT(\mathbf{u})$✔️
T must be onto

Correct Answer Logic:

A linear transformation satisfies two properties: (1) Additivity: $T(\mathbf{u}+\mathbf{v})=T(\mathbf{u})+T(\mathbf{v})$, and (2) Homogeneity: $T(c\mathbf{u})=cT(\mathbf{u})$. Both must hold simultaneously. Together they imply $T(c\mathbf{u}+d\mathbf{v})=cT(\mathbf{u})+dT(\mathbf{v})$.

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Nursing QUESTION #9254

Question 873

A nurse assesses a 6-month-old infant. Which developmental milestone is EXPECTED and NORMAL at this age according to Denver Developmental Screening?

Walks alone
Says 2–3 word sentences
Sits with support and transfers objects hand to hand✔️
Pincer grasp and stands holding furniture

Correct Answer Logic:

Denver Developmental Screening Test (DDST-II) milestones at 6 months:

Domain	Expected at 6 Months
Gross Motor	Sits with support, rolls over (front to back), bears weight on legs
Fine Motor	Transfers objects hand to hand, reaches for objects, raking grasp
Language	Babbles, monosyllables (ba, da, ma), laughs, squeals
Personal-Social	Recognizes faces, smiles spontaneously, feeds self cracker

Key milestones timeline:

3 months: Head control, social smile
6 months: Sits with support, transfers objects ✓
9 months: Stands holding furniture, pincer grasp developing
12 months: Walks with support, 1–2 words
18 months: Walks alone, 10+ words
24 months: 2–3 word sentences, runs

Red flags at 6 months: No head control, no social smile, not reaching for objects — warrant immediate developmental evaluation.

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Accounting & Finance QUESTION #1207

Question 874

A manufacturing company is considering whether to produce in-house or outsource production. Relevant costs for this decision include:

Fixed costs of the company.
Historical costs of production.
Direct variable costs and outsourcing costs.✔️
Total costs incurred in the prior year.

Correct Answer Logic:

In a make-or-buy (outsourcing) decision, only relevant (incremental/differential) costs matter. These include direct variable costs of in-house production and the cost of outsourcing. Fixed costs that remain unchanged regardless of the decision are irrelevant. Historical (sunk) costs are also irrelevant as they cannot be changed.

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Physics QUESTION #1052

Question 875

Physical quantity $P=\frac{a^3b^2}{c\sqrt{d}}$. Percentage errors: $a=1\%,\ b=3\%,\ c=2\%,\ d=4\%$. Percentage error in $P$ is:

13%✔️
15%
10%
2%

Correct Answer Logic:

$\frac{\Delta P}{P}\times100 = 3\times1+2\times3+1\times2+\frac{1}{2}\times4 = 3+6+2+2=13\%$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3389

Question 876

The backbone of a DNA molecule is made of:

Nitrogenous bases and sugar
Phosphate groups and sugar (Deoxyribose)✔️
Amino acids
Lipids

Correct Answer Logic:

Alternating phosphate and sugar groups form the structural frame.

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Mathematics QUESTION #6981

Question 877

A bag has 4 red and 6 black balls. One ball is drawn, observed, and returned along with 2 more balls of the same colour. A second ball is then drawn. Find the probability that the second ball drawn is red.

$\dfrac{1}{5}$
$\dfrac{3}{4}$
$\dfrac{3}{10}$
$\dfrac{2}{5}$✔️

Correct Answer Logic:

Initially: 4 red, 6 black (10 total).

Case 1 — First ball is red (prob $= \frac{4}{10}$):
Bag becomes: 6 red, 6 black (12 total). $P(\text{red 2nd}) = \frac{6}{12} = \frac{1}{2}$.

Case 2 — First ball is black (prob $= \frac{6}{10}$):
Bag becomes: 4 red, 8 black (12 total). $P(\text{red 2nd}) = \frac{4}{12} = \frac{1}{3}$.

Total: $\dfrac{4}{10}\cdot\dfrac{1}{2}+\dfrac{6}{10}\cdot\dfrac{1}{3} = \dfrac{2}{10}+\dfrac{2}{10} = \dfrac{4}{10} = \dfrac{2}{5}$

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General Knowledge QUESTION #8996

Question 878

Who is the founder of the Scout Movement?

Robert Baden-Powell✔️
Lord Colin Powell
Maccollins
Nikola Tesla

Correct Answer Logic:

Baden-Powell founded the Scouting movement.

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Physics QUESTION #7295

Question 879

The velocity-time graph for a body projected vertically upward is best described as a:

Parabola
Ellipse
Hyperbola
Straight line✔️

Correct Answer Logic:

For a body projected vertically upward, only gravity acts on it — a constant acceleration $g$ downward. From $v = u - gt$, velocity changes linearly with time, producing a straight line on a $v$-$t$ graph with slope $-g$.

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Education QUESTION #6710

Question 880

A teacher designs performance objectives for a creative writing unit. Which objective BEST balances measurability with creative freedom?

Students will write creatively
Students will create an original story incorporating at least three literary devices from the provided list✔️
Students will enjoy creative writing
Students will improve their writing skills

Correct Answer Logic:

Effective performance objectives are specific and measurable yet allow appropriate freedom. This objective has clear criteria (original story, three literary devices, specified list) while permitting creative variation in implementation. It's assessable without being overly prescriptive.

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