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Mathematics QUESTION #7434

If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to the foot of the tower, are 30°, 45° and 60° respectively, then the ratio AB : BC is:

$\sqrt{3}:1$✔️
$\sqrt{3}:\sqrt{2}$
$1:\sqrt{3}$
2:03

Correct Answer Logic:

Let the height of tower be $h$ and distances from tower foot be $x_A, x_B, x_C$. From the angles: $\tan(30°) = \frac{h}{x_A}$ gives $x_A = h\sqrt{3}$; $\tan(45°) = \frac{h}{x_B}$ gives $x_B = h$; $\tan(60°) = \frac{h}{x_C}$ gives $x_C = \frac{h}{\sqrt{3}}$. Since points are collinear with C closest to tower: $AB = x_A - x_B = h\sqrt{3} - h = h(\sqrt{3}-1)$ and $BC = x_B - x_C = h - \frac{h}{\sqrt{3}} = h\frac{\sqrt{3}-1}{\sqrt{3}}$. Therefore, $\frac{AB}{BC} = \frac{h(\sqrt{3}-1)}{h\frac{\sqrt{3}-1}{\sqrt{3}}} = \sqrt{3}$. The ratio is $\sqrt{3}:1$.

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General Knowledge QUESTION #4656

Question 2

Advertising rose 20% while garment consumption rose 25%. All explain this EXCEPT:

Per capita consumption of unstitched garments declined✔️
Advertising effectiveness increased
Sewing machine production doubled
Readymade garments were available in more shops

Correct Answer Logic:

No explanation provided for this question.

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Mathematics QUESTION #1253

Question 3

In the group $(Q^+, *)$ with $a * b = \dfrac{ab}{2}$, what is the inverse of element $a$?

$\dfrac{1}{a}$
$\dfrac{2}{a}$
$\dfrac{4}{a}$✔️
$2a$

Correct Answer Logic:

For inverse $a'$: $a * a' = e = 2 \Rightarrow \dfrac{aa'}{2} = 2 \Rightarrow a' = \dfrac{4}{a}$. Since $a \in Q^+$, $\dfrac{4}{a} \in Q^+$ ✓.

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Math Physics Chemistry Biology QUESTION #4231

Question 4

CFTR gene that encode a protein which regulate:

Protein and salt
Salt and Water✔️
Sugar and Water
Liquid and Protein

Correct Answer Logic:

CFTR regulates salt and water transport.

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General Knowledge QUESTION #8727

Question 5

Which city is known as the world's largest computer software industrial center?

Beijing
Bangalore✔️
Bangkok
None above

Correct Answer Logic:

Bangalore (Bengaluru), India is known as 'Silicon Valley of India'.

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General Knowledge QUESTION #8605

Question 6

Ramadan is which month of the Islamic calendar?

7th
9th✔️
1st
10th

Correct Answer Logic:

Ramadan is the 9th month of the Islamic lunar calendar.

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Geography QUESTION #6344

Question 7

'Deindustrialization' in developed countries since the 1970s primarily reflects:

Manufacturing employment and output share declining relative to services✔️
Complete elimination of manufacturing sectors
Relocation of all industry to developing countries
Reduced industrial productivity and competitiveness

Correct Answer Logic:

Deindustrialization describes the relative decline of manufacturing employment and GDP share (not absolute production) as economies shift toward services. Causes include rising manufacturing productivity, offshoring, and income-elastic demand for services.

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Administration QUESTION #2913

Question 8

What is the primary objective promoted by the concept of Network Governance?

Inter-organizational coordination✔️
Hierarchical control
Formal association
Centralized decision-making

Correct Answer Logic:

Network governance emphasizes collaboration and partnerships between various public, private, and non-profit actors to solve complex problems.

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Physics QUESTION #7060

Question 9

Two moles of a monoatomic ideal gas occupy volume $V$ at $27^\circ\text{C}$. It expands adiabatically to $2V$. Calculate the final temperature and the internal energy change. ($\gamma = 5/3$, $2^{2/3} \approx 1.587$)

(a) $189 \text{ K}$ (b) $-2.7 \text{ kJ}$✔️
(a) $195 \text{ K}$ (b) $2.7 \text{ kJ}$
(a) $189 \text{ K}$ (b) $2.7 \text{ kJ}$
(a) $195 \text{ K}$ (b) $-2.7 \text{ kJ}$

Correct Answer Logic:

For adiabatic expansion: $T_1 V_1^{\gamma-1} = T_2 V_2^{\gamma-1}$

$300 \times V^{2/3} = T_2 \times (2V)^{2/3} \implies T_2 = \frac{300}{2^{2/3}} \approx \frac{300}{1.587} \approx 189 \text{ K}$

Change in internal energy: $\Delta U = n C_v \Delta T = n \left(\frac{3}{2}R\right) (T_2 - T_1)$

$\Delta U = 2 \times 1.5 \times 8.31 \times (189 - 300) \approx 24.93 \times (-111) \approx -2767 \text{ J} \approx -2.7 \text{ kJ}$.

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Chemistry QUESTION #478

Question 10

Al?F?SiO? is named as

Gibbsite
Emerald✔️
Bauxite
Cryolite

Correct Answer Logic:

This is beryl/emerald composition

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English QUESTION #502

Question 11

All this flashed by his mind in an instant of protest.

All this flashed by his mind in an instant of protest.
All this flashed on his mind in an instant of protest.
All this flashed through his mind in an instant of protest.✔️
All this flashed by off mind in an instant of protest.

Correct Answer Logic:

'Flashed through' is correct

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Planning QUESTION #4979

Question 12

Which statistical test is most appropriate for determining correlation between household income and housing expenditure?

Chi-square test
T-test
Pearson correlation coefficient✔️
ANOVA

Correct Answer Logic:

Pearson correlation coefficient ($r$) measures linear relationship strength between two continuous variables (income and expenditure). Chi-square is for categorical data, t-test for mean differences, and ANOVA for comparing multiple groups.

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Boilers Mechanical Engineering QUESTION #2478

Question 13

A 'crank' in mechanism terminology is defined as:

A link that oscillates back and forth about a fixed pivot
A link that has complex (combined rotation and translation) motion
A link that makes a complete ($360^\circ$) revolution about a fixed grounded pivot✔️
The output link of any mechanism

Correct Answer Logic:

By definition: a crank makes a complete revolution about a fixed (grounded) pivot; a rocker oscillates back and forth about a fixed pivot; a coupler has complex motion and is not fixed to ground.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3627

Question 14

The study of poisons, their detection, and their effects is called:

Pharmacology
Toxicology✔️
Pharmacognosy
Posology

Correct Answer Logic:

Toxicology is the branch of science concerned with the nature, effects, and detection of poisons.

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Reading and Writing (Module-1) QUESTION #5416

Question 15

In 1968, US Congressman John Conyers introduced a bill to establish a national holiday in honor of Dr. Martin Luther King Jr. The bill didn't make it to a vote, but Conyers was determined. He teamed up with Shirley Chisholm, the first Black woman to be elected to Congress, and they resubmitted the bill every session for the next fifteen years. _______ in 1983, the bill passed. Which choice completes the text with the most logical transition?

Instead,
Likewise,
Finally,✔️
Additionally,

Correct Answer Logic:

'Finally' logically signals that the bill passing in 1983 was the concluding event after fifteen years of resubmission.

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Accounting & Finance QUESTION #6170

Question 16

When calculating the Net Present Value of a 5-year project, if the discount rate increases, what happens to the NPV?

It increases
It decreases✔️
It remains unchanged
It becomes zero immediately

Correct Answer Logic:

Because the discount factor $(1+i)^n$ is in the denominator, a higher $i$ results in a lower Present Value of future cash flows, thus decreasing NPV.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3416

Question 17

Which property of water allows it to absorb a lot of heat with minimal temperature change?

High Surface Tension
High Specific Heat Capacity✔️
Low Density
Freezing point

Correct Answer Logic:

This helps in maintaining body temperature (thermoregulation).

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Math Physics Chemistry Biology QUESTION #4300

Question 18

__________ arranges the DNA into chromosomes in a eukaryotic cell.

Hormones
Elastin
Histone✔️
Nucleosome

Correct Answer Logic:

Histone proteins are positively charged and bind to negatively charged DNA, helping to compact and organize DNA into nucleosomes and ultimately into chromosomes.

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English QUESTION #2787

Question 19

Choose the correct word: 'You must ___ to the terms of the contract.' (Note: 'Comply' means to act in accordance with; 'Imply' means to suggest indirectly)

Imply
Comply✔️
Reply
Apply

Correct Answer Logic:

'Comply' means to act in accordance with a wish, order, or rule. 'You must comply with the terms of the contract' is correct. 'Imply' means to suggest something indirectly, which doesn't fit here.

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Quantitative Reasoning QUESTION #8122

Question 20

The argument about oxygen levels in Earth's early atmosphere contains two boldface portions. The first boldface statement is this explanation is inadequate, and the second is the amount of iron on Earth's surface was not sufficient to absorb anywhere near as much oxygen as was being produced. Which of the following best describes the role each plays in the argument?

The first is a claim made by the argument in support of a certain position; the second is that position.
The first is a judgment made by the argument about a certain explanation; the second is that explanation.
The first expresses the argument's dismissal of an objection to the position it seeks to establish; the second is that position.
The first sums up the argument's position with regard to a certain hypothesis; the second provides grounds for that position.✔️

Correct Answer Logic:

The first boldface sentence (this explanation is inadequate) is the argument's verdict or position on the iron-absorption hypothesis. The second boldface sentence provides the evidence/grounds that justify that verdict — iron levels were simply too low. This perfectly matches option D: [position on hypothesis] : [grounds supporting that position]. Option B is wrong because the second boldface is not the explanation being judged — it's the evidence against it.

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