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Original score = 72. Improvement = $15\% \text{ of } 72 = \frac{15}{100} \times 72 = 10.8$. New score = $72 + 10.8 = 82.8$. Therefore, Riya's improved score is 82.8 out of 120.

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Boilers Mechanical Engineering QUESTION #2457

Question 1489

The law of conjugate gear-tooth action (the fundamental law of gearing) states that for constant angular velocity ratio, the common normal at the point of contact must:

Always pass through the center of the smaller gear (pinion)
Always intersect the line of centers at the same fixed point — the pitch point P✔️
Be parallel to the line of centers
Be perpendicular to the tooth profile at all times

Correct Answer Logic:

The fundamental law of gearing: the common normal to the mating tooth surfaces at the contact point must always pass through the pitch point P (fixed point on the line of centers).

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Islamic Studies QUESTION #7924

Question 1490

Which Surah was recited by the Holy Prophet at the time of Hijrat?

Rehman
Yaseen✔️
Fateha
Akhlas

Correct Answer Logic:

The Prophet (PBUH) recited Surah Yaseen when he was leaving his house during the Hijrah to Medina. As the Quraish surrounded his house to kill him, he recited the initial verses of Surah Yaseen and threw dust toward them. Allah blinded them, and he safely passed through them unnoticed, demonstrating Allah's protection.

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Civil / Architecture QUESTION #2344

Question 1491

For a steel compression member using AISC LRFD, the design compressive strength with $\phi_c = 0.90$ for the inelastic buckling range where $\lambda_c \leq 1.5$ uses:

$F_{cr} = \left(\dfrac{0.877}{\lambda_c^2}\right) F_y$
$F_{cr} = \left(0.658^{\lambda_c^2}\right) F_y$✔️
$F_{cr} = \dfrac{\pi^2 E}{(KL/r)^2}$
$F_{cr} = F_y (1 - 0.25\lambda_c^2)$

Correct Answer Logic:

Per AISC LRFD: For $\lambda_c \leq 1.5$ (inelastic): $F_{cr} = (0.658^{\lambda_c^2}) F_y$. For $\lambda_c > 1.5$ (elastic): $F_{cr} = (0.877/\lambda_c^2) F_y$. The slenderness parameter $\lambda_c = \dfrac{KL}{r\pi}\sqrt{\dfrac{F_y}{E}}$. The design strength is $\phi_c P_n = 0.90 F_{cr} A_g$.

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General Abilities QUESTION #2884

Question 1492

What is the duplicate ratio of $3:4$?

9:16✔️
6:8
$\sqrt{3}:2$
27:64

Correct Answer Logic:

The duplicate ratio is the ratio of their squares: $3^2 : 4^2 = 9:16$.

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Reading and Writing (Module-1) QUESTION #5365

Question 1493

How did whales, once no bigger than seals, evolve to become the largest animals on Earth? Brazilian biologist Mariana Nery believes the answer might be found in whales' DNA. In January 2023, Nery and her colleagues ______ a study showing changes over time in four whale genes associated with body size. Which choice completes the text so that it conforms to the conventions of Standard English?

published✔️
publishing
having published
to publish

Correct Answer Logic:

The sentence needs a main verb in the past tense to complete the independent clause.

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Geography QUESTION #1247

Question 1494

The process involved in Himalayan orogeny is:

Volcanism
Plate convergence✔️
Plate divergence
None of these

Correct Answer Logic:

The Himalayan mountain range was formed by the convergence (collision) of the Indian Plate and the Eurasian Plate, which began approximately 50 million years ago. As the Indian subcontinent moved northward and collided with Eurasia, the intervening Tethys Sea sediments were folded and uplifted to form the Himalayas. This is a classic example of continent-continent collision.

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Accounting & Finance QUESTION #6233

Question 1495

Which ethical principle prevents an auditor from using client information for personal gain?

Integrity
Professional Behavior
Confidentiality✔️
Due Care

Correct Answer Logic:

Confidentiality dictates that the auditor should not disclose info without permission nor use it for personal benefit.

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Reading and Writing (Module-1) QUESTION #5377

Question 1496

While researching a topic, a student has taken the following notes: A lever is a simple machine consisting of a rigid beam and a fulcrum. The fulcrum is the point about which the beam pivots. In first-class levers, the fulcrum is located between the effort and the load. In second-class levers, the load is located between the effort and the fulcrum. The student wants to contrast first-class levers and second-class levers. Which choice most effectively uses relevant information from the notes to accomplish this goal?

In levers, the effort is the force applied to the lever; the load, in contrast, is the force that the lever exerts on another object.
In first-class and second-class levers, the fulcrum and the load are in different locations.
First-class levers are simple machines consisting of a rigid beam and a fulcrum, but then again, the same is true of second-class levers.
In first-class levers, the fulcrum is located between the effort and the load, but in second-class levers, the load is located between the effort and the fulcrum.✔️

Correct Answer Logic:

Option D clearly states the physical difference between the two types of levers, providing a complete contrast.

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Chemistry QUESTION #435

Question 1497

Name the rare halogen among the following.

F
Cl
I
At✔️

Correct Answer Logic:

Astatine (At) is the rarest halogen

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English QUESTION #2743

Question 1498

Identify the ERROR in: 'Neither the manager nor the employees was present.'

manager
nor
employees
was✔️

Correct Answer Logic:

With 'neither...nor', the verb agrees with the subject closest to it. Since 'employees' (plural) is closer, the verb should be 'were', not 'was'.

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CISA QUESTION #1735

Question 1499

Through what process does an IS auditor arrive at and justify a final audit opinion?

By accumulating and evaluating evidence and making direct observations during the audit.✔️
By accepting and relying on representations and assurances provided by management.
By evaluating whether the language used in organisational policies meets compliance standards.
Under the direction and guidance of the audit committee.

Correct Answer Logic:

An auditor's final opinion must be earned through independent effort — gathering evidence, conducting tests, and making objective observations — not received from management or directed by a committee. The fundamental purpose of an audit is to verify or challenge management's assertions through independent inquiry. An opinion that is merely based on what management says, or what a committee desires, does not constitute a valid independent audit opinion.

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Verbal Reasoning QUESTION #8115

Question 1500

The cost, in dollars, of manufacturing $x$ refrigerators is $9{,}000 + 400x$. The revenue received when selling $x$ refrigerators is $500x$ dollars. What is the minimum number of refrigerators that must be manufactured and sold so that the revenue is at least equal to the manufacturing cost?

$10$
$18$
$45$
$90$✔️

Correct Answer Logic:

Set revenue $\geq$ cost:

$500x \geq 9{,}000 + 400x$

$100x \geq 9{,}000$

$x \geq 90$

The minimum number of refrigerators is $\mathbf{90}$.

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