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Mathematics QUESTION #974

Suppose that the number of terms in an A.P. is $2k,\ k\in\mathbb{N}$. If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55, and the last term exceeds the first term by 27, then $k$ is equal to:

6
5✔️
8
4

Correct Answer Logic:

Let first term $=a$, common difference $=d$, number of terms $=2k$. Sum of odd-positioned terms $=k\left(a+\frac{(2k-1)d}{2}\cdot\text{...}\right)=40$, even terms $=55$. Difference: $kd=15$. Last $-$ first $=(2k-1)d=27$. From $kd=15$ and $(2k-1)d=27$: dividing gives $2k-1=\frac{27k}{15} \Rightarrow k=5$.

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Urdu QUESTION #5032

Question 2

کاٹا اور ......... ضرب المثل مکمل کریں۔

لے بھاگا
لے بھاگو
لے بھاگے
ان میں سے کوئی نہیں (لے دوڑی)✔️

Correct Answer Logic:

صحیح ضرب المثل ہے: 'کاٹا اور لے دوڑی' جو کسی کے نقصان سے فائدہ اٹھانے کے معنی میں استعمال ہوتی ہے۔

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Mechanical Engineering QUESTION #2492

Question 3

For an open kinematic chain with $n$ links forming a vector loop from point A to point B, the closure equation in scalar form (x-projection) is:

$\sum_{k=1}^{n} r_k\sin\phi_k = y_B - y_A$
$\sum_{k=1}^{n} r_k\cos\phi_k = x_B - x_A$✔️
$\prod_{k=1}^{n} r_k\cos\phi_k = x_B - x_A$
$\sum_{k=1}^{n} r_k = |r_B - r_A|$

Correct Answer Logic:

The vector loop equation projected onto the x-axis yields $\sum_{k=1}^n r_k\cos\phi_k = x_B - x_A$ and onto y gives $\sum_{k=1}^n r_k\sin\phi_k = y_B - y_A$.

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Chemistry QUESTION #1012

Question 4

Identify the number of structures from the given Fisher projections that can be correlated to D-glyceraldehyde:

Four
One
Two
Three✔️

Correct Answer Logic:

D-glyceraldehyde has the $-\text{OH}$ group on the right in Fischer projection at the chiral carbon nearest to the bottom. Checking each structure (A, B, C, D): those with appropriate configuration matching D-glyceraldehyde's stereochemistry — three of the four structures can be correlated.

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Physics and Math QUESTION #745

Question 5

Emf = VBL sinθ (related to that):

Volts✔️
Ohm
Newton's
Joules

Correct Answer Logic:

EMF (electromotive force) is measured in Volts. The formula VBL sinθ gives the induced EMF in a conductor moving in a magnetic field.

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GATE General Aptitude QUESTION #3769

Question 6 (Select all that apply)

Which of the following numbers are prime numbers between 1 and 10?

2✔️
3✔️
4
5✔️

Correct Answer Logic:

2, 3, and 5 are prime numbers. 4 is a composite number ($2 \times 2$).

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English QUESTION #2748

Question 7

Choose the correct PREPOSITION: 'She has been working here ___ 2010.'

since✔️
for
from
during

Correct Answer Logic:

'Since' is used with a specific point in time (e.g., 2010, Monday, yesterday), while 'for' is used with a period of time. Since '2010' is a specific year, 'since' is correct.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2959

Question 8

A 'Saturated Solution' is defined as one where:

No more solute can be dissolved at a given temperature✔️
The solute is in higher concentration than the solvent
The solution contains exactly $10\%$ solute
The solute has completely evaporated

Correct Answer Logic:

A saturated solution contains the maximum amount of solute that can be dissolved in the solvent at a specific temperature.

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Urdu QUESTION #5035

Question 9

حمد، نعت اور قصیدے کے سب سے دل آویز شعر کو کیا کہتے ہیں؟

بیت الغزل
شاہ بیت✔️
شاہ نور
ان میں سے کوئی نہیں

Correct Answer Logic:

قصیدے اور مدحیہ اصناف میں سب سے خوبصورت اور جامع شعر کو 'شاہ بیت' کہا جاتا ہے۔

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Pakistan Affairs QUESTION #613

Question 10

What principle was supported by Bengali politicians for representation in the legislature and executive?

Population✔️
Area
Revenue
None of these

Correct Answer Logic:

Bengal, being the most populous province, advocated for representation based on population .

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Library Sciences QUESTION #1511

Question 11

Which of the following best distinguishes 'description' from 'subject access' in the cataloguing process?

Description assigns classification numbers; subject access creates authority files
Description records bibliographic and physical attributes of a resource; subject access represents its intellectual content✔️
Description is done manually; subject access is always automated
Description applies only to books; subject access applies only to journals

Correct Answer Logic:

Description in cataloguing refers to recording the bibliographic and physical attributes of an item (title, author, edition, publisher, etc.), while subject access involves representing the intellectual content of the resource through subject headings and classification numbers.

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MCQs Section QUESTION #4894

Question 12

A controversial figure throughout most of his public life, the Black leader Marcus Garvey advocated _____ the possibility of freedom.

that some Blacks return to Africa, the land that, to him, symbolized the possibility of freedom✔️
that some Blacks return to the African land symbolizing the possibility of freedom to him
that some Blacks return to Africa which was the land which symbolized the possibility of freedom to him
some Black's returning to Africa which was the land that to him symbolized the possibility of freedom

Correct Answer Logic:

The subjunctive 'return' (not 'returns' or 'returned') is correctly used after 'advocated that.' The appositive 'the land that, to him, symbolized the possibility of freedom' is precise and well-placed. Options B and C create awkward relative clause chains. Options D and E use incorrect possessive or gerund forms.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3366

Question 13

'Coagulase' is an enzyme produced by *Staph. aureus* to:

Break down DNA
Clot blood plasma (hiding from the immune system)✔️
Move faster
Produce energy

Correct Answer Logic:

The clot provides a protective barrier for the bacteria.

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Reading and Writing (Module-1) QUESTION #5339

Question 14

The city council recently approved a new park project. ______ the park will include a playground, a walking trail, and a community garden. Which choice completes the text with a transition that most logically connects the ideas?

Specifically,✔️
Instead,
Meanwhile,
Otherwise,

Correct Answer Logic:

'Specifically' introduces the details/components of the park project mentioned.

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CISA QUESTION #1737

Question 15

Which type of audit is specifically focused on comparing the attributes of a finished product against its original design specifications?

Process audit
System audit
Compliance audit
Product audit✔️

Correct Answer Logic:

A product audit systematically compares a finished item — including its physical attributes, dimensions, markings, colour, and features — against the design specifications that governed its production. In the context of IS auditing, this type of audit is particularly relevant when certifying custom-built software or reviewing software prior to release from a development organisation, where the auditor must verify that the delivered product matches what was specified.

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Library Sciences QUESTION #1560

Question 16

In library cataloguing, a 'main entry' under AACR2 is defined as:

The first subject heading assigned to a work
The complete bibliographic record under which a work is primarily listed, traditionally under the principal author's name✔️
The call number assigned to a physical item
The title page transcription of a work

Correct Answer Logic:

Under AACR2, the main entry is the primary access point in a catalogue record under which the complete bibliographic description is entered — traditionally the personal author, corporate body, or title (if authorship is diffuse or unknown). It determines the primary location of the record in an alphabetical catalogue.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3453

Question 17

'Steroids' like estrogen and testosterone are derived from:

Amino acids
Glucose
Cholesterol✔️
Phosphate

Correct Answer Logic:

Cholesterol is the parent compound for all steroid hormones.

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Biology QUESTION #575

Question 18

In __________ zone the light is insufficient to support photosynthesis.

Desert
Profundal✔️
Littoral
All of these

Correct Answer Logic:

Profundal zone lacks sufficient light

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Geography QUESTION #1238

Question 19

UTM stands for:

Unified Transverse Mercator
Universal Transverse Mercator✔️
Unified threat management
None of these

Correct Answer Logic:

UTM stands for Universal Transverse Mercator — a widely used map projection and coordinate system. It divides the Earth into 60 vertical zones, each 6° of longitude wide, and uses a transverse Mercator projection within each zone to minimize distortion. It is used in cartography, navigation, and GIS applications.

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Physics QUESTION #1052

Question 20

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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