HPPSC HPAS Prelims Paper 2 Mock Test - 9 - HPPSC HPAS (Himachal Pardesh) MCQ

Any number of the form p^aq^br^c will have (a + 1) (b + 1)(c + 1) factors, where p, q, r are prime. (This is a very important idea) 
For any number N of the form p^aq^br^c, the sum of the factors will (1+p¹+p²+…+p^a)(1+q¹+q²+…+q^b) (1+r¹+r²+…+r^c)
Sum of factors of number N is 124. 124 can be factorized as 2² × 31. It can be written as 4 × 31, or 2 × 62 or 1 × 124.
2 cannot be written as (1+p¹+p²+…+p^a) for any value of p.
4 can be written as (1 + 3)
So, we need to see if 31 can be written in that form.
The interesting bit here is that 31 can be written in two different ways.
= 31= (1+2¹+2²+2³+2⁴) 
= 31= (1+5+5²) 
Or, the number N can be 3×2⁴ or 3×5². Or N can be 48 or 75.
So, more than one such number exists. 

Urban flooding in Indian cities is significantly exacerbated by unplanned urban expansion, which often leads to encroachment on flood-prone areas. As cities grow, they frequently build in zones that are vulnerable to flooding, increasing the risk of disasters during heavy rainfall events. This factor highlights the need for integrated urban planning that considers flood risks.

Coastal areas in tropical Africa and Asia are expected to experience the greatest increases in flooding incidents due to climate change. This is attributed to rising sea levels, increased rainfall, and extreme weather events, which are becoming more frequent as global temperatures rise. This underscores the importance of proactive measures to mitigate flooding risks in these vulnerable regions.

Deforestation increases landslide susceptibility by removing vegetation that stabilizes the soil. Trees and plants help bind the soil together, and their absence can lead to increased erosion and instability on slopes, making them more prone to landslides, especially after heavy rainfall. This highlights the critical need for forest conservation in landslide-prone areas.

Implementing green infrastructure, such as permeable pavements and green spaces, is a proposed solution for enhancing urban resilience against flooding. These features help absorb excess rainwater and reduce surface runoff, thereby mitigating the impact of heavy rainfall on urban areas. This approach not only helps manage flood risks but also promotes sustainable urban environments.

Deforestation is not a natural cause of landslides; instead, it is an anthropogenic (human-induced) factor. While heavy rainfall, earthquakes, and volcanic eruptions are natural phenomena that can initiate landslides, deforestation increases vulnerability by removing vegetation that helps stabilize soil. This distinction is crucial for understanding how human activities influence natural disasters.

The Disaster Management (Amendment) Bill, 2024 aims to strengthen the functioning of national and state disaster management authorities. By improving clarity and convergence among stakeholders, the bill seeks to enhance the overall effectiveness of disaster management in response to various natural and man-made disasters. This legislative effort is essential for improving disaster readiness and response at all levels of government.

Lok Adalats serve as a forum for amicable settlement of disputes that may otherwise linger in the courts. They aim to provide a quicker, less formal resolution process, allowing parties to resolve issues such as matrimonial disputes and property claims without the complexities of regular court proceedings. This approach not only reduces the backlog of cases but also promotes access to justice for individuals who might find the formal judicial process daunting.

Article 39A of the Indian Constitution requires the state to ensure that the legal system operates to promote justice on an equal opportunity basis and provides for free legal aid. This Article reflects the commitment to making legal support accessible to all, particularly for those who may face economic or other disabilities that hinder their ability to seek justice.

The Supreme Court's recent ruling allows states to sub-categorize Scheduled Castes to provide more targeted reservation benefits. This decision acknowledges the varying levels of social and economic disadvantage within SC communities, thus enabling states to implement more effective affirmative action policies. It marks a significant shift from previous judgments that treated SCs as a uniform group.

Advocates for a Uniform Civil Code argue that it would guarantee equality among all citizens, regardless of their religious affiliations. By standardizing personal laws related to marriage, divorce, and inheritance, a UCC aims to provide a fair and egalitarian legal framework, thereby reinforcing India's secular character and promoting equal rights for all individuals.

Members of Lok Adalats function as statutory conciliators, meaning their primary role is to facilitate negotiations and encourage parties to reach an amicable settlement. They do not hold judicial powers to enforce laws or conduct trials, which differentiates them from traditional judges in court settings. This approach emphasizes cooperation over confrontation, aiming to resolve disputes in a less adversarial environment.

The Supreme Court's 2004 ruling against sub-classification of Scheduled Castes arose from a legal challenge to the Punjab government's initiative to divide its SC reservation into categories. The court determined that such a division would violate the principle of equality, asserting that once a community is recognized as part of the Scheduled Castes, it should be treated as a homogeneous group for the purposes of reservation benefits.

The primary purpose of a Uniform Civil Code is to establish a single set of laws that govern personal matters such as marriage, divorce, inheritance, and property rights for all citizens, irrespective of their religious affiliations. This aims to promote equality and unity in a diverse nation like India, where multiple personal laws currently exist based on different religions.

In the passage author present two hypotheses concerning the origin of the Moon.

(a) is correct as the passage essentially highlights the risks insecure cyber nuclear systems possess with the best case scenario being loss of trust on the military and worst being the launch of a nuclear weapon which the statement captures essentially.
(b) is incorrect as the passage does not mention all nuclear countries being exposed to risks and hence, it cannot be deduced from the passage.
(c) is incorrect as the statement makes definitive claims - complete nuclear safety and no misuse, without passage confirming the same. Passage says insecure cyber security may lead to misuse but ensuring complete safety cannot be inferred.
(d) is incorrect as the passage does not comment in general about the performance of the world related to cyber security in nuclear systems. Hence, it cannot be inferred from the passage.

Male under the category of good is 22

Female under excellent category is 0

Lowest 4-digit number is 1000.
LCM of 3, 4 and 5 = |3, 4, 5 
As we saw above no two numbers are divisible by common factor so their LCM is their 
product.
LCM of 3, 4 and 5 = 3 x 4 x 5 = 60.
Dividing 1000 by 60, we get the remainder 40.
Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.
Now, add the remainder 2 that's required. Thus, the answer is (1020 + 2 = 1022). 

(a) is incorrect as the passage explicitly mentions culture as an extremely effective vector in knowledge transmission etc but does not say anything about it being the most important tool for development.
(b) is incorrect as the passage highlights how culture was not effectively used while formulating the MDGs but does not highlight the need of alternative development recipes in the present scenario.
(c) is incorrect as the passage mentions non usage of culture as one of the reasons MDG goals not being met and not the only reason why.
(d) is correct as the passage explicitly states how the failure to recognize the role of culture was one of the most important reasons of failure to achieve MDGs which were set in the year 2000.

Let the two digit natural number be 10x + y.
On reversing = 10y + x.
Therefore 10x+y : 10y+x = 4:7

=> x:y = 1:2
Such numbers are 12,21,24,42,36,63,48,84. Their sum is 330.
Directions (6-8)

Let A be the set of students in art class and B be the set of students in dance class.)
n(A) =15, n(B) = 37, n (A ∩ B) = 12
When 2 classes meet at different hours
n (A ∪ B) = n(A) + n(B) - n (A ∩ B)
= 15 + 37 - 12
= 52 - 12
= 40

(a) is incorrect as the passage fears the creation of a dividing line between the haves and have-nots and does not promise an eventual spread of technology to the marginalized.
(b) is correct as the passage highlights the benefits of technology for children and also expresses concern over millions being marginalized due to lack of access to it. Hence, the statement can be inferred from the passage.
(c) is incorrect as the passage does not talk about policymakers’ role in providing access to the children. Hence, it cannot be inferred from the passage.
(d) is incorrect as the statement talks about disadvantages of technology which goes beyond the scope of the passage.

At 9.15 P.M., the minute hand will point towards west.

(a) is incorrect as rising interest payments is one of the implications of rising public debt and the passage only deals with advanced economies and not the whole world.
(b) is incorrect as the passage does not talk about developing countries.
(c) is incorrect as the passage mentions poor public spending as an implication of high national debt in advanced economies. It does not relate only to poor public spending in advanced economies.
(d) is correct as the passage essentially highlights the problems created by high national debts in advanced economies. This is the best option among the options given. Hence, option (d) is the correct answer.

According to question the arrangement will be, 

According to question the arrangement will be,