HPPSC HPAS Prelims Paper 2 Mock Test - 1 - HPPSC HPAS (Himachal Pardesh) MCQ

• If M1 persons can do a piece of work in D1 days and M2 persons can do same piece of work in D2 days, then M1*D1= M2 * D2.

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  Let the original number of men in the group be 'x'. (M1)

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  After 6 men left, the size of group be (x-6) men. (M2)

Now using the above formula, we get

⇒ x * 18 = (x-6) * 20

⇒ 18x = 20x -120

⇒ 120= 20x-18x

⇒ 120 = 2x

⇒ x=60

Therefore, the original number of men in the group is 60 men.

The Sahitya Akademi Awards aim to celebrate linguistic diversity in Indian literature by recognizing writers from 24 different languages. This acknowledgment helps to encourage writers across various linguistic backgrounds and promotes the richness of India's literary heritage. An interesting fact is that this diversity reflects India's cultural plurality, showcasing how literature can bridge different communities through shared narratives.

The Broadcasting Services (Regulation) Bill aims to regulate all broadcasting services under a single legislative framework, which includes Over-the-Top (OTT) content. This comprehensive approach is intended to modernize broadcasting regulations in India and ensure that all forms of content delivery are covered. This is particularly relevant in a rapidly evolving media landscape where OTT platforms are gaining significant popularity.

The Supreme Court ruled that if a governor decides not to sign a bill, they must return it to the legislature along with a statement outlining their reasons. This ruling emphasizes the necessity of accountability and transparency in the legislative process, ensuring that elected representatives can effectively fulfill their roles without undue hindrance from the governor. This decision supports the foundational principles of democracy and the legislative process in India.

The Forest Rights Act (FRA) of 2006 encounters challenges primarily due to bureaucratic resistance and political opportunism. While the FRA aims to recognize the rights of indigenous and local communities over forest resources, implementation has been hindered by local authorities opposing community rights and misinterpretations of the Act. This situation illustrates the complexities of enacting transformative legislation in a landscape often influenced by varying political and administrative interests.

Including persons with disabilities in the labor market has the potential to boost global GDP by 3% to 7%, according to studies by organizations such as the International Labour Organization. This inclusion not only acknowledges the rights of individuals with disabilities but also enhances economic productivity by utilizing a wider talent pool. Additionally, this approach contributes to social equity and can lead to a more diverse and inclusive work environment, which benefits society as a whole.

The Supreme Court's ruling clarified that the Governor is required to return a bill for reconsideration before deciding to withhold assent. This interpretation of Article 200 limits the Governor's discretion, thereby protecting the rights of the legislature and ensuring that legislative processes are adhered to more strictly. This ruling emphasizes the significance of timely decision-making in governance, as prolonged delays can hinder legislative functions.

Rate downstream = 

Rate upstream = 2 km/hr.

Speed in still water = 

 Required time = 

If p, q and r are the roots of the cubic equation x³ - 3x² + 5x + k - 2 = 0, then the product of the roots are as follows.
pqr = 2 - k (Using the formula of product of roots of a cubic equation)
k = 2 - 1
k = 1

• Since pipe B is faster than pipe A and thus, the tank will be emptied.

• Part of the tank to be emptied = 2/5

• Part emptied by (A+B) in 1 minute= (1/6 - 1/10) = 1/15.

Therefore,

⇒ 1/15 : 2/5 :: 1: x

⇒ 2/5 * 15 = 6 minutes

Formula: A and B together can do a work in x days, B and C together in y days, while C and A together in z days. If they all work together, the work will be completed in: (2xyz)/( xy+yz+zx)

In the above given problem 'x' = 8 days, 'y' = 6 days and 'z' = 10 days.

Substituting the values x, y and z in the formula, If they all work together, the work will be completed in : (2 * 8 * 6 * 10)/((8*6)+(6*10)+(10*8))

⇒ 960/(48+60+80) = 960/188 = 240/47 days

The passage states that humanitarian aid is important but other steps are also required for ending hunger. D appears correct but A is the more logical and critical choice because the passage harps on the importance of medium and long term steps required for addressing hunger which is captured by A. Hence A is the correct answer.

Formula: If M1 persons can do a piece of work in D1 days for h1 hours and M2 persons can do the same piece of work in D2 days for h2 hours,

then: M1D1h1 = M2D2h2.

In the above given problem M1=15 men, D1=20 days, h1=8 hours, M2=20 men, D2= 12 days. Substituting the above values in the formula, we get

⇒ 15 * 20 * 8 = 20 * 12 * h2;

⇒ 2400 = 240 * h2; h2 = 10 hours

Therefore, 10 hrs a day should 20 men take to complete the same work in 12 days.

From the given data, we can get

• A's one day work = 1/24,

• B's one day work = 1/9 and

• Cs one day work = 1/12.

Since, B and C start the work and left after 3 days;

• the work done by B and C is = 3 *((1/9) +(1/12)) = 7/12.

• Therefore, remaining work = 1- 7/12 =5/12.

• Time taken by A to complete the remaining work = 24 * 5/12 =10 days.

If A can do a work in 'x' days and A + B can do the same work in 'y' days, then the number of days required to complete the work if B works alone is given by the formula: ( x * y)/(x-y).

Aman alone takes 5 days (i.e x) to complete a piece of work and along with his son he can complete same of piece of work in 3 days(i.e y).

Therefore, his son alone takes ( x * y)/(x-y) days to complete the same piece of work.

By substituting the given values in formula, his so will take (5 * 3)/(5-3) = 15/2 = 7.5 days.

As the first sentence of the passage tells that the emerging demand for hi-tech minerals will have to be met, one can say that meeting the emerging demand for hi-tech minerals in an imperative. Statement 2 is invalid as the first sentence of the passage tells us that due to the advancement in science, the demand for hi-tech minerals has emerged. Hence, option c is correct.

The passage tells that ‘emerging demand for hi-tech minerals only calls for earth scientists anticipating demand and exploring and extracting these minerals with cost effective and environment friendly extraction technologies'. This does not mean that the scientists will definitely come up with the cost effective exploration technologies. The sentence ‘Agencies of both....of these minerals' makes it clear that promotion for the extraction of hi-tech minerals is required. Thus option b is correct

The line ‘The mineral surveys........ state of the art technologies' only tells us that mineral surveys etc. have to be targeted to take up the concept oriented studies. On this basis, one cannot say that the concept oriented studies are a component of mineral surveys and exploration programs. The line ‘Concerted action plans need.... exploration and development' makes it quite clear that the area of mineral extraction can acquire higher capability through concerted action plans. Thus option b is correct.

From I, we conclude that there are 16 students and 11 boys taller than Shravan. This implies that there are 5 girls taller than Shravan. In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.

From II, we conclude that P is R's mother.

From I, we conclude that M is the brother or sister of P's husband, who is also R's father. Thus, R is either nephew or niece of M.

Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in

From each one of I and II, we get the order: A, C, B, E, D. Clearly, B is in the middle

From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.

As the situation demands it, using the veto and going ahead with the plan is the best option. Option c comes next but it may prove to be time consuming whereas the matter at hand is urgent. Going with the option a is next but it would show that you give up too easily. Option d is the worst choice as it will portray you as a quitter.

Option c is the best choice as you are responsible for your subordinate and this action will not only pacify your superior but also ensure him/her that this kind of mistake will not happen in the future. Option b is the next best choice but taking the blame on yourself may only embolden your subordinate to make more such mistakes in the future. Option a comes next. However, pinning the blame on him/her just because he/she does not share a cordial relation with you will be unprofessional. Option d does not solve the problem of answering the query that has been made by your superior.

A crisis situation like this demands for immediate action. Since you are being threatened, the immediate action should be to report the matter to the local police and let the law take its course. Warning the goons would only worsen matters. Trying to convince the traders would be the next best choice as this would help them to see the bigger picture and long term benefits. Also, trying to get yourself removed from the Committee is incorrect and cowardly as it your duty to ensure that the roads are built in the village.

Since you had been promised help at the time of taking up the project, it is only fair that you should remind your supervisor of the same. Moreover, talking about the extra work that has been coming your way is also a valid point to ask for more help. Such a course of action would put your point of view across and at the same time would bring the expectations of your boss in line with the ground reality. Option d is the next best option. Since this is a short term internship and because you really want this job in your dream company you would compromise by working overtime to complete the task.

The best course would be to approach the Ethics Committee. Any proceedings of the committee would be part of official record and the committee would also have the authority to ensure compliance would also have the authority to ensure compliance with its decision. Moreover, since there is a clear company policy regarding such behaviour, you should follow the method prescribed in the policy for dealing with such a situation. The next best option would be to speak to your colleague directly. Ignoring the matter would not be in your interest of your organization. Similarly contacting the vendors would not deal with the root of the problem since the vendors are only responding to the other made by your colleagues in order to secure their own business.

Assuring the locals that a proper investigation of the case will take place will help in pacifying them. Hence, option d is the best course of action. Since the medical officers are also agitated and are refusing the allegation, assuring them that the matter will be thoroughly investigated is the next best option. You cannot reprimand the medical officer as the death due to his negligence is the allegation at the moment. Thus, option b is negated. The medical officer's apology is welcome but it will not compensate their loss in anyway. Hence option c is also negated.