Tüm alıştırma soruları

4581 soru

Soru 621Soru

Eight executives (A, B, C, D, E, F, G, and H) are attending a strategy meeting. They are seated in two parallel rows containing four seats each, with an equal distance between adjacent seats.

In Row 1: A, B, C, and D are seated and all of them are facing South.
In Row 2: E, F, G, and H are seated and all of them are facing North.
Therefore, each person in Row 1 faces exactly one person in Row 2.

The following conditions are given:
1. D sits second to the left of the person who faces F.
2. F does not sit at any of the extreme ends of the row.
3. Only one person sits between A and C.
4. The person who faces C sits to the immediate left of H.
5. G sits to the right of E but not immediately.
6. B does not face E.

Based on the given seating arrangement, who sits second to the left of the person facing C?

Cevabı ve açıklamayı göster

Cevap: E

Cevap

The correct answer is E.
Based on the fully deduced arrangement, C sits in Row 1 facing South. The person exactly facing C is G, who sits in Row 2 facing North. Because G faces North, G's left is toward the beginning of the row. The person sitting second to the left of G is E.

Adım Adım Çözüm

1
Analyze the basic row structure and facing directions.
Row 1 (South): A, B, C, D. Row 2 (North): E, F, G, H. Let the positions be 1, 2, 3, 4 from West to East (left to right from our perspective).
Establishing a standard coordinate system prevents left/right orientation errors.
2
Place F and D using conditions 1 and 2.
F is in Row 2 (North). F is not at an end, so F is at position 2 or 3. The person facing F is in Row 1 (South). D is second to the left of this person. For South-facing people, 'left' means moving East. If F is at position 3, the person facing F is at 3; second to their left would be position 5, which doesn't exist. Thus, F must be at position 2. The person facing F is at 2. Second to the left of position 2 is position 4. Therefore, D is at position 4 in Row 1.
This is the most restrictive starting point that firmly anchors two people.
3
Place A, B, and C in Row 1 using condition 3.
Row 1 currently has D at position 4. Empty seats are 1, 2, and 3. Since only one person sits between A and C, they must occupy positions 1 and 3. This leaves position 2 for B. So, B is at position 2, directly facing F.
Process of elimination for Row 1 positions based on spacing constraints.
4
Determine the exact positions of C and A using condition 4.
The person facing C sits to the immediate left of H (Row 2, North). If C were at position 1, the person facing C would be at position 1, meaning H would have to be at position 2. But F is already at position 2. Therefore, C cannot be at position 1. C must be at position 3 (making A at position 1). The person facing C is at position 3. Since this person is to the immediate left of H, H must be at position 4.
Testing the two possible locations for C against Row 2's constraints resolves the ambiguity.
5
Place E and G in Row 2 using condition 5.
Row 2 has empty seats at positions 1 and 3. G sits to the right of E but not immediately. Placing E at position 1 and G at position 3 satisfies this (they are separated by F at position 2). Checking condition 6: B (at 2) faces F, not E. All conditions are satisfied.
Fills the remaining seats in Row 2 and validates the final layout against the remaining rule.
6
Answer the specific question asked.
The question asks for the person sitting second to the left of the person facing C. C is at position 3. The person facing C is G (at position 3 in Row 2). G is facing North, so 'left' is West. Second to the left of G (position 3) is E (position 1).
Translating the final logical deduction into the required output.

Anahtar Kavram

Parallel Dual-Row Seating Arrangement

Alternatif Yöntem

You can visualize the problem by drawing two parallel horizontal lines and marking 4 tick marks on each. Label the top row 'S' (South) and the bottom 'N' (North). Draw arrows on the left/right ends of each line indicating standard left/right for North (L->R) and inverted right/left for South (R<-L). Filling the slots systematically from the most certain clue (F and D) guarantees no orientation mix-ups.
Tahmini Süre:2m 0s
Soru 622Soru

The Municipal Sanitation Department is planning to expand its primary solid waste processing facility into an adjacent vacant plot owned by the city. However, over the past decade, a suburban residential neighborhood has developed near this boundary. The Residents' Welfare Association (RWA) is threatening a city-wide protest and legal injunctions, citing potential health hazards, odor, and a drop in property values. The Sanitation Department argues that relocating the expansion to a distant site would triple transportation costs and cause an immediate waste crisis, as the current facility will reach maximum capacity in three months. As the Municipal Commissioner responsible for resolving this dispute, which of the following is the most appropriate initial course of action to negotiate a sustainable resolution?

Cevabı ve açıklamayı göster

Cevap: Establish a joint consultative committee with the RWA to negotiate a conditional expansion that includes binding investments in enclosed processing technology and a green buffer zone using the relocation savings.

Cevap

Establish a joint consultative committee with the RWA to negotiate a conditional expansion that includes binding investments in enclosed processing technology and a green buffer zone using the relocation savings.
The correct answer demonstrates effective stakeholder negotiation by acknowledging the legitimate concerns of both parties. It utilizes the cost savings from avoiding relocation to fund technological mitigations, such as enclosed processing and green buffers. By establishing a joint committee, it creates a structured, participatory dialogue that transforms a zero-sum conflict into a mutually beneficial compromise.

Adım Adım Çözüm

1
Analyze the competing interests and constraints of the stakeholders.
The RWA prioritizes health, environment, and property value. The Sanitation Department prioritizes urgent capacity, budget constraints, and logistics.
Effective negotiation requires a clear understanding of what each party stands to lose and what resources are available.
2
Identify potential areas of mutual benefit (win-win scenarios).
The money saved by not moving the facility to a distant site can be redirected to upgrade the current site's technology to eliminate odor and health risks.
Finding financial leverage within the administrative constraints allows for a realistic compromise.
3
Select a conflict resolution mechanism that fosters cooperation.
Forming a joint consultative committee ensures transparency and gives residents a voice in the mitigation strategy.
Participatory decision-making de-escalates protests and reduces the likelihood of disruptive legal injunctions.

Anahtar Kavram

Identifying win-win mediation points and prioritizing participatory conflict resolution over unilateral administrative action.
Tahmini Süre:1m 30s
Soru 623Soru

A rare astronomical alignment was recorded on Thursday, May 17, 1888. According to a research institute, this specific alignment occurs exactly every 13 years. On what day of the week will the second occurrence after the original 1888 recording take place?

Cevabı ve açıklamayı göster

Cevap: Sunday

Cevap

Sunday
The second occurrence takes place 26 years after 1888, in the year 1914. Between May 1888 and May 1914, there are 26 years, 5 of which are leap years (1892, 1896, 1904, 1908, 1912). The year 1900 is not a leap year. This gives 26 + 5 = 31 odd days. Since 31 divided by 7 leaves a remainder of 3, the event occurs 3 days after Thursday, which is Sunday.

Adım Adım Çözüm

1
Determine the target year for the second occurrence.
The interval is 13 years, so the second occurrence happens 2 × 13 = 26 years after the original recording. Target year is 1888 + 26 = 1914.
The question asks for the second occurrence, which requires adding two full intervals to the base year.
2
Calculate the total number of years and identify all leap years in the interval from May 17, 1888, to May 17, 1914.
Total years: 26. Leap years passed: 1892, 1896, 1904, 1908, 1912 (5 leap years). Note that 1900 is a century year not divisible by 400, so it is not a leap year.
To calculate the shift in the days of the week, we need the total number of normal years and leap years. Leap years add an extra odd day.
3
Calculate the total number of odd days over the 26-year period.
Total odd days = 26 + 5 = 31 odd days.
Each normal year contributes 1 odd day, and each leap year contributes an additional 1 odd day. Adding the number of leap years to the total number of years gives the total odd days.
4
Find the final day of the week by adding the remainder of odd days to the starting day.
31 divided by 7 leaves a remainder of 3. Three days after Thursday is Sunday.
The days of the week repeat every 7 days. Dividing the total odd days by 7 gives the effective shift.

Anahtar Kavram

Calculating odd days across a time interval that includes a century boundary to determine the day of the week.
Soru 624Soru

An inventory tracking system logs the total number of specialized microchips stored in a warehouse as exactly 5×14333×28505 \times 14^{33} - 3 \times 28^{50} units. These microchips are being shipped out in standard crates that hold exactly 1313 units each. The remaining microchips that do not make a full crate will be set aside for quality assurance testing. How many microchips will be set aside?

Cevabı ve açıklamayı göster

Cevap: 6

Cevap

6 microchips will be set aside for quality assurance testing.
By evaluating the modulo 1313 for each term independently using exponent cyclicity, the expression 5×14335 \times 14^{33} reduces to 55, and 3×28503 \times 28^{50} reduces to 1212. Subtracting these yields an intermediate remainder of 7-7. Since remainders representing physical quantities must be non-negative, we add the divisor (1313) to 7-7, resulting in a final positive remainder of 66.

Adım Adım Çözüm

1
Formulate the modulo expression.
(5×14333×2850)(mod13)(5 \times 14^{33} - 3 \times 28^{50}) \pmod{13}
Finding the remaining chips after filling crates of 13 is equivalent to calculating the remainder when the total is divided by 13.
2
Reduce the base of the first term.
5×133=5(mod13)5 \times 1^{33} = 5 \pmod{13}
1414 leaves a remainder of 11 when divided by 1313. Any power of 11 remains 11.
3
Reduce the base of the second term.
3×250(mod13)3 \times 2^{50} \pmod{13}
2828 divided by 1313 is 22 with a remainder of 22.
4
Apply Fermat's Little Theorem to evaluate 250(mod13)2^{50} \pmod{13}.
2121(mod13)2^{12} \equiv 1 \pmod{13}, so 250224(mod13)2^{50} \equiv 2^2 \equiv 4 \pmod{13}
Powers of 22 repeat every 1212 modulo 1313. Since 50=12×4+250 = 12 \times 4 + 2, the remainder of the exponent is 22.
5
Evaluate the full second term.
3×4=12(mod13)3 \times 4 = 12 \pmod{13}
Multiply the evaluated exponent component by the original coefficient.
6
Subtract to find the initial remainder.
512=75 - 12 = -7
Substitute the evaluated remainders back into the full expression.
7
Convert the negative remainder into a positive value.
7+13=6-7 + 13 = 6
A physical count must be a positive integer. Adding the divisor to a negative remainder gives the true positive remainder.

Anahtar Kavram

Modular arithmetic properties, Fermat's Little Theorem, and conversion of negative remainders.
Soru 625Soru

An agronomist is comparing the soil moisture retention rates of four different agricultural plots. The rates, measured in liters per cubic meter per day, are given below. Arrange the plots in ascending order of their moisture retention rates.

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct ascending order is Plot Beta, Plot Delta, Plot Gamma, and then Plot Alpha.
By converting all rates to extended decimals, we get: Plot Beta (1.444...1.444...), Plot Delta (1.4501.450), Plot Gamma (1.4545...1.4545...), and Plot Alpha (1.4555...1.4555...). Comparing them digit-by-digit from left to right establishes the strictly ascending order: Beta, Delta, Gamma, Alpha.

Adım Adım Çözüm

1
Convert the fraction into a decimal to create a uniform format for comparison.
Plot Beta: 139=1.4444...\frac{13}{9} = 1.4444...
Decimal forms allow for direct digit-by-digit comparison of magnitudes.
2
Expand all values to at least four decimal places to clearly see the repeating patterns.
Plot Alpha: 1.4555...1.4555...
Plot Beta: 1.4444...1.4444...
Plot Gamma: 1.4545...1.4545...
Plot Delta: 1.4500...1.4500...
Truncating or estimating too early can hide the subtle differences between terminating and repeating decimals.
3
Compare the tenths and hundredths places.
All values have a 44 in the tenths place. In the hundredths place, Plot Beta has a 44, while the others have a 55. Thus, Plot Beta is the smallest.
Comparing digits from left to right establishes the overall magnitude.
4
Compare the thousandths place for the remaining three plots.
Plot Delta has 00, Plot Gamma has 44, and Plot Alpha has 55.
This establishes the final order for the remaining values: Delta (1.450...1.450...) < Gamma (1.4545...1.4545...) < Alpha (1.4555...1.4555...).

Anahtar Kavram

Comparing terminating decimals, recurring decimals, and fractions by converting them to expanded decimal forms.
Soru 626Soru

In a highly automated manufacturing plant, three different robotic assembly lines are synchronized by a central control system. Line A completes a specific micro-calibration cycle every 415\frac{4}{15} of a minute. Line B completes its calibration cycle every 625\frac{6}{25} of a minute, and Line C completes its cycle every 835\frac{8}{35} of a minute. If all three lines complete a calibration cycle simultaneously at a given moment, what is the shortest time interval that must elapse before all three lines complete their calibration cycles together again?

Cevabı ve açıklamayı göster

Cevap: 245\frac{24}{5} minutes

Cevap

The shortest time interval is 245\frac{24}{5} minutes.
To find when independent periodic events next occur simultaneously, we must calculate their Lowest Common Multiple (LCM). For fractions, the LCM is found by dividing the LCM of the numerators by the HCF of the denominators. The LCM of the numerators (4,6,84, 6, 8) is 2424, and the HCF of the denominators (15,25,3515, 25, 35) is 55. Therefore, the overall LCM is 245\frac{24}{5}.

Adım Adım Çözüm

1
Identify the mathematical operation required.
We need to find the Lowest Common Multiple (LCM) of the three given time intervals (415\frac{4}{15}, 625\frac{6}{25}, 835\frac{8}{35}) to determine when the periodic events will next coincide.
The LCM represents the smallest common interval of time into which each individual cycle can fit perfectly.
2
Recall the formula for finding the LCM of fractions.
LCM of fractions=LCM of numeratorsHCF of denominators\text{LCM of fractions} = \frac{\text{LCM of numerators}}{\text{HCF of denominators}}.
This standard formula is required when working with periodic fractional amounts.
3
Find the LCM of the numerators.
The numerators are 44, 66, and 88. The lowest common multiple of 4,6, and 84, 6, \text{ and } 8 is 2424.
Multiples of 88 are 8,16,248, 16, 24. 2424 is the smallest multiple evenly divisible by both 44 and 66.
4
Find the Highest Common Factor (HCF) of the denominators.
The denominators are 1515, 2525, and 3535. The highest common factor of 15,25, and 3515, 25, \text{ and } 35 is 55.
The common prime factor shared by 3×53 \times 5, 5×55 \times 5, and 7×57 \times 5 is 55.
5
Apply the values to the fraction LCM formula.
LCM(4,6,8)HCF(15,25,35)=245\frac{\text{LCM}(4, 6, 8)}{\text{HCF}(15, 25, 35)} = \frac{24}{5}.
Combining the calculated numerator and denominator provides the final fractional interval.

Anahtar Kavram

Lowest Common Multiple (LCM) of Fractions
Soru 627Soru

A civil engineering team is installing three different types of sensor cables along a newly constructed bridge. The standard supplier rolls for these cables come in lengths of 552\frac{55}{2} meters, 774\frac{77}{4} meters, and 1215\frac{121}{5} meters. To ensure modular replacement without any waste, the team must cut all the rolls into smaller, equal-length segments. What is the maximum possible length, in meters, of each segment?

Cevabı ve açıklamayı göster

Cevap: 0.55

Cevap

0.55 meters
The problem asks for the maximum equal length that can divide all three roll lengths without any remainder, which mathematically corresponds to the Highest Common Factor (HCF). Using the standard formula for fractions: HCF = HCF(55, 77, 121) / LCM(2, 4, 5) = 11 / 20 = 0.55 meters.

Adım Adım Çözüm

1
Determine the correct mathematical operation based on the problem context.
The requirement to cut multiple rolls into equal segments of maximum possible length with zero waste indicates the need to find the Highest Common Factor (HCF) of the three lengths.
HCF is used to find the largest common quantity that can perfectly divide multiple numbers.
2
State the standard formula for finding the HCF of fractions.
HCF=HCF of numeratorsLCM of denominatorsHCF = \frac{\text{HCF of numerators}}{\text{LCM of denominators}}
This is the mathematical rule for finding the HCF of rational numbers.
3
Calculate the HCF of the numerators.
The numerators are 5555, 7777, and 121121. Their prime factorizations are 5×115 \times 11, 7×117 \times 11, and 11×1111 \times 11. The HCF is 1111.
The largest common prime factor across all three numerators is 11.
4
Calculate the LCM of the denominators.
The denominators are 22, 44, and 55. The lowest common multiple is 2020.
20 is the smallest positive integer divisible by 2, 4, and 5.
5
Compute the final decimal value.
1120=0.55\frac{11}{20} = 0.55
Converting the fraction to a decimal yields the exact required length.

Anahtar Kavram

Highest Common Factor (HCF) of Fractions
Soru 628Soru

Regarding the eligibility criteria, financial provisions, and implementation framework of the 'Yuva Nidhi Scheme' launched by the Government of Karnataka, which of the following statements are correct?

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: It provides direct monthly financial assistance of ₹3,000 to unemployed graduates and ₹1,500 to unemployed diploma holders.; To qualify for the benefit, candidates must have remained unemployed for a minimum duration of six months after passing their degree or diploma.

Cevap

The provisions establishing the monthly allowance of ₹3,000 for graduates and ₹1,500 for diploma holders, along with the requirement of a mandatory six-month unemployment duration post-completion of studies, are correct.
The Yuva Nidhi scheme guarantees ₹3,000 per month to unemployed graduates and ₹1,500 per month to unemployed diploma holders across Karnataka, provided they have remained unemployed for at least six months post-course completion.

Adım Adım Çözüm

1
Evaluate the financial entitlement parameters under the Yuva Nidhi framework
The scheme stipulates ₹3,000 per month for unemployed degree holders and ₹1,500 per month for unemployed diploma holders.
Verifying the financial support tiers designed to bridge the transition between formal graduation and employment.
2
Assess the tenure limit and ongoing eligibility exclusions
Assistance is capped at two years and terminates immediately if the individual gains employment or pursues regular higher education.
Targeted welfare schemes prevent overlapping government benefits and focus strictly on active job seekers.
3
Examine the qualifying waiting period requirement
Applicants must demonstrate at least six months of continuous unemployment post-graduation.
This filtering criterion ensures support is directed to individuals genuinely facing extended job-market friction.

Anahtar Kavram

State-specific youth welfare architecture and targeted unemployment assistance norms
Soru 629Soru

Announcement: The state administration's newly launched agricultural initiative guarantees financial subsidies solely to cultivators adopting organic farming techniques.

Is it logically valid to deduce from this announcement that cultivators relying on conventional chemical fertilizers are banned from trading their harvest within the state?

Cevabı ve açıklamayı göster

Cevap: False

Cevap

False, the deduction is not logically valid.
The deduction is logically invalid because it introduces external assumptions. The original text only addresses financial subsidies, while the deduction leaps to an extreme conclusion about market trading bans. A valid inference must be strictly confined to the information explicitly provided.

Adım Adım Çözüm

1
Identify the core premise provided in the announcement.
The text states that financial subsidies are given exclusively to organic farmers.
Establishing the factual boundaries of the text is the first step in evaluating any conclusion.
2
Analyze the scope of the proposed deduction.
The deduction introduces a new consequence: a ban on trading harvest for non-organic farmers.
To compare the deduction against the provided premise.
3
Determine if the deduction logically follows from the premise.
A condition for receiving a subsidy does not equate to a legal ban on market trading.
Valid conclusions cannot introduce new restrictions or extreme outcomes not supported by the text.

Anahtar Kavram

Identifying unwarranted assumptions and avoiding extreme conclusions not supported by the text.
Soru 630Soru

Arrange the following landmark legislative acts enacted by the Parliament of India to strengthen administrative governance, public integrity, and scientific development in chronological order of their enactment (from the earliest to the most recent):

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

Consumer Protection Act (2019) → Criminal Procedure (Identification) Act (2022) → Anusandhan National Research Foundation (ANRF) Act (2023) → Public Examinations (Prevention of Unfair Means) Act (2024)
The correct chronological progression begins with the Consumer Protection Act passed in August 2019, followed by the Criminal Procedure (Identification) Act in April 2022, the Anusandhan National Research Foundation (ANRF) Act in August 2023, and concludes with the Public Examinations (Prevention of Unfair Means) Act in February 2024.

Adım Adım Çözüm

1
Identify the year of enactment for the Consumer Protection Act.
The Consumer Protection Act was passed by the Parliament and received presidential assent in August 2019.
It repealed the 1986 statute to address modern e-commerce challenges and establish the CCPA.
2
Identify the year of enactment for the Criminal Procedure (Identification) Act.
The Criminal Procedure (Identification) Act was enacted in April 2022.
It repealed the Identification of Prisoners Act, 1920, enabling modern criminal identification procedures.
3
Identify the year of enactment for the Anusandhan National Research Foundation (ANRF) Act.
The Anusandhan National Research Foundation (ANRF) Act was passed in August 2023.
It operationalized key governance recommendations of the National Education Policy (NEP) 2020 regarding R&D.
4
Identify the year of enactment for the Public Examinations (Prevention of Unfair Means) Act.
The Public Examinations (Prevention of Unfair Means) Act was passed in February 2024.
It was enacted to provide a dedicated central statutory framework to combat unfair means in recruitment examinations.
5
Sequence the acts chronologically from earliest to most recent.
The correct chronological sequence is 2019, 2022, 2023, and 2024.
Ordering by timeline gives: Consumer Protection Act (2019), Criminal Procedure (Identification) Act (2022), Anusandhan National Research Foundation (ANRF) Act (2023), and Public Examinations (Prevention of Unfair Means) Act (2024).

Anahtar Kavram

Chronology of major governance initiatives and legislative reforms in India
Tahmini Süre:1m 15s
Soru 631Soru

At a metropolitan central station, three express commuter trains depart simultaneously at 6:00 AM on Monday. The Green Line completes its round trip every 2142 \frac{1}{4} hours, the Blue Line every 3383 \frac{3}{8} hours, and the Red Line every 4124 \frac{1}{2} hours. Assuming continuous operation without delays, how many hours will it take for all three trains to depart simultaneously from the central station again?

Cevabı ve açıklamayı göster

Cevap: 131213 \frac{1}{2}

Cevap

The correct time is 131213 \frac{1}{2} hours, found by taking the Least Common Multiple (LCM) of the three fractional time intervals.
To find the next simultaneous departure, the Least Common Multiple (LCM) of the round-trip times is needed. Converting the times to improper fractions gives 94\frac{9}{4}, 278\frac{27}{8}, and 92\frac{9}{2}. The LCM of fractions is found by dividing the LCM of the numerators (which is 27) by the Highest Common Factor (HCF) of the denominators (which is 2). This gives 272\frac{27}{2}, or 131213 \frac{1}{2} hours.

Adım Adım Çözüm

1
Convert the mixed numbers to improper fractions.
Green Line: 94\frac{9}{4} hours, Blue Line: 278\frac{27}{8} hours, Red Line: 92\frac{9}{2} hours.
Improper fractions are required to accurately calculate the Least Common Multiple (LCM) of fractions.
2
Identify the formula for finding the LCM of fractions.
LCM of fractions=LCM of numeratorsHCF of denominators\text{LCM of fractions} = \frac{\text{LCM of numerators}}{\text{HCF of denominators}}
This formula allows us to find the lowest common multiple for non-integer values.
3
Calculate the LCM of the numerators.
The numerators are 9, 27, and 9. Their LCM is 27.
27 is the smallest number perfectly divisible by 9, 27, and 9.
4
Calculate the HCF of the denominators.
The denominators are 4, 8, and 2. Their HCF is 2.
2 is the largest number that perfectly divides 4, 8, and 2.
5
Apply the values to the fraction LCM formula.
272=1312\frac{27}{2} = 13 \frac{1}{2} hours.
Dividing the LCM of numerators by the HCF of denominators yields the final LCM of the fractions.

Anahtar Kavram

Calculating the Least Common Multiple (LCM) of fractions to solve periodic synchronization problems.
Soru 632Soru

Statement: The National Highway Authority (NHA) has decided to double the toll tax for all commercial freight vehicles operating on the Northern Expressway during peak daytime hours (8 AM to 8 PM), while simultaneously offering a 30% discount on the standard toll for the same vehicles traveling between midnight and 6 AM.

Assumption I: A significant proportion of commercial freight operators possess the logistical flexibility to reschedule their transit operations from daytime to nighttime hours.
Assumption II: The traffic congestion currently experienced on the Northern Expressway during peak daytime hours is predominantly caused by commercial freight vehicles rather than private passenger cars.

Based on the statement provided, which of the given assumptions is/are logically implicit?

Cevabı ve açıklamayı göster

Cevap: Only assumption I is implicit

Cevap

Only assumption I is logically implicit.
The correct answer is that only the first assumption is implicit. The NHA's policy of differential toll pricing is fundamentally a behavioral incentive designed to shift traffic to off-peak hours. For the author of the statement to believe this policy will succeed, they must inherently assume that the target demographic (freight operators) has the capability to actually alter their transit schedules. Without this flexibility, the incentive structure collapses. The second assumption is not implicit because it relies on the extreme qualifier 'predominantly'. While the NHA is targeting freight vehicles to ease congestion, the statement's logic remains perfectly intact even if freight only causes a minority fraction of the total traffic.

Adım Adım Çözüm

1
Analyze the core objective and mechanism of the given policy statement.
The NHA's policy utilizes differential pricing (taxing daytime travel, subsidizing nighttime travel) specifically to encourage commercial freight vehicles to shift their operating hours.
Identifying the functional intent of the statement is the first step in uncovering its foundational unstated premises.
2
Evaluate Assumption I for implicit necessity.
For a behavioral incentive like differential pricing to work, the target group must have the ability to change their behavior. If freight operators lacked the logistical flexibility to switch to night travel, the policy would fail to shift traffic. Therefore, the author of the policy must assume this flexibility exists.
An assumption must be logically mandatory for the statement's objective to remain viable.
3
Evaluate Assumption II for implicit necessity.
The statement aims to reduce congestion by targeting freight vehicles. However, it is not logically required that freight vehicles are the 'predominant' (majority) cause of the congestion. Reducing even a 20% contributor can significantly alleviate traffic.
The presence of extreme language ('predominantly') transforms a plausible related thought into an invalid assumption.

Anahtar Kavram

Identifying mandatory unstated premises versus extreme logical inferences.
Tahmini Süre:1m 30s
Soru 633Soru

The State Department of Urban Development recently enacted the Decentralized Waste Management Framework (DWMF) to alleviate the growing strain on centralized landfills. Unlike previous policies that relied on municipal fleets to transport mixed refuse, the DWMF mandates that residential welfare associations (RWAs) manage their own organic 'wet' waste through on-site composting or biomethanation. The municipality now only collects non-biodegradable 'dry' waste and hazardous materials. To facilitate this transition, the government offers a one-time 40% subsidy on the purchase of approved processing equipment. However, ongoing operational and maintenance costs must be borne entirely by RWAs through monthly resident contributions.

While environmental advocates praise the DWMF for reducing transportation emissions and extending landfill lifespans, several lower-income neighborhoods have reported severe difficulties. For these communities, the remaining 60% capital expenditure and continuous operational fees present a substantial financial barrier, leading to the ad-hoc dumping of wet waste in public spaces. Furthermore, the policy assumes a uniform availability of communal space, ignoring the dense spatial realities of older, unplanned urban settlements.

Based on the implications of the DWMF described above, which of the following administrative interventions represents the most logically sound policy extension to address the framework's implementation flaws?

Cevabı ve açıklamayı göster

Cevap: Restructuring the financial support model to subsidize ongoing operational costs for low-income areas and providing localized, off-site processing alternatives for spatially constrained neighborhoods

Cevap

The correct intervention is to restructure financial support for ongoing costs in low-income areas and provide off-site processing alternatives for neighborhoods lacking communal space.
The passage identifies two main flaws in the DWMF's implementation: the financial burden of ongoing costs on lower-income communities, and the lack of communal space in older, unplanned settlements. An intervention that directly addresses these specific gaps—by restructuring financial support for operations and providing off-site alternatives for dense areas—logically extends the policy to ensure its practical success without abandoning its core environmental goals.

Adım Adım Çözüm

1
Analyze the core objective and mechanics of the DWMF policy described in the passage.
The DWMF mandates on-site organic waste processing by residents, supported by a one-time 40% equipment subsidy, while the municipality collects only dry and hazardous waste.
Understanding the baseline policy is required before evaluating any extensions or modifications.
2
Identify the specific implementation flaws or negative outcomes mentioned in the text.
Two primary flaws are identified: lower-income areas cannot afford the remaining 60% capital cost plus ongoing operations (leading to illegal dumping), and older, unplanned settlements lack the physical space required for on-site processing.
A logical policy extension must directly address the specific problems hindering the current framework.
3
Evaluate the given options to find the one that directly resolves these identified issues based strictly on the text.
The correct intervention proposes subsidizing operational costs for low-income areas and providing off-site alternatives for spatially constrained areas, directly mirroring the two flaws identified in Step 2.
This ensures the practical application is anchored in the passage's evidence rather than external assumptions or misread details.

Anahtar Kavram

Identifying Logically Valid Policy Extensions
Soru 634Soru

In evolutionary cell biology, mitochondria and chloroplasts are classified as semi-autonomous organelles that originated through endosymbiotic events. Which of the following statements correctly describe the structural and genetic characteristics supporting their endosymbiotic evolutionary origin? (Select all correct options)

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: Both organelles contain their own circular, double-stranded DNA molecules that are naked and devoid of extensive histone protein complexes, resembling bacterial genomes.; Both organelles contain 70S ribosomes within their internal compartments that are sensitive to antibacterial antibiotics such as chloramphenicol.

Cevap

The statements highlighting circular histone-free DNA genomes and bacterial-type 70S ribosomes sensitive to antibiotics are correct.
The correct statements correctly identify the core molecular evidence supporting the Endosymbiotic Theory: mitochondria and chloroplasts maintain circular, histone-free DNA genomes analogous to prokaryotes, and possess 70S ribosomes whose protein synthesis is susceptible to bacterial antibiotic inhibitors.

Adım Adım Çözüm

1
Analyze genomic organization of semi-autonomous organelles
Mitochondria and chloroplasts harbor prokaryotic-like circular DNA without histone proteins.
Endosymbiotic origin from ancestral alpha-proteobacteria and cyanobacteria preserved circular genome topology.
2
Evaluate translational machinery characteristics
Organellar ribosomes are 70S (composed of 50S and 30S subunits), inhibited by prokaryotic translation inhibitors like chloramphenicol.
Eukaryotic cytosolic ribosomes are 80S, demonstrating the distinct bacterial lineage of organellar translation systems.
3
Assess degree of genetic autonomy and division mechanism
Both organelles depend on imported nuclear proteins and divide independently by binary fission rather than mitotic spindle partitioning.
Endosymbiotic gene transfer to the host nucleus rendered these organelles semi-autonomous rather than completely autonomous.

Anahtar Kavram

Endosymbiotic Theory and Characteristics of Semi-Autonomous Organelles
Tahmini Süre:1m 15s
Soru 635Soru

Four conference delegates—Farhan, Gita, Harish, and Ira—are to be divided into two discussion panels, Panel 1 and Panel 2, with exactly two delegates on each panel. The assignment must obey the following rules:
1. Farhan and Gita cannot be assigned to the same panel.
2. If Harish is assigned to Panel 1, then Gita must also be assigned to Panel 1.

If Harish is assigned to Panel 1, which pair of delegates must be assigned to Panel 2?

Cevabı ve açıklamayı göster

Cevap: Farhan and Ira

Cevap

Farhan and Ira
When Harish is placed on Panel 1, the condition dictates that Gita must also be on Panel 1. With Panel 1 fully occupied by Harish and Gita (since each panel holds two people), the remaining two delegates, Farhan and Ira, must form Panel 2. This satisfies the rule that Farhan and Gita are on separate panels.

Adım Adım Çözüm

1
Determine the composition of Panel 1 based on the given condition and rules.
Harish is assigned to Panel 1. Rule 2 states that if Harish is in Panel 1, Gita must also be in Panel 1. Thus, Panel 1 contains Harish and Gita.
Applying the conditional constraint directly establishes the members of Panel 1.
2
Assign the remaining delegates to Panel 2.
Since each panel has exactly two delegates and Panel 1 is filled with Harish and Gita, the remaining delegates (Farhan and Ira) must be assigned to Panel 2.
Total delegates are 4, divided equally into two panels of 2.
3
Verify all constraints are satisfied.
Farhan is on Panel 2 and Gita is on Panel 1, satisfying Rule 1 (Farhan and Gita cannot be on the same panel).
Ensures the solution is consistent and unique.

Anahtar Kavram

Analytical Grouping and Constraint Satisfaction
Soru 636Soru

Four senior administrative officers—Farhan, Geeta, Harish, and Indu—are assigned to two administrative committees: Committee 1 and Committee 2, with exactly two officers in each committee. Each officer specializes in one distinct domain: Finance, IT, Legal, or Operations.

The assignments are made according to the following conditions:
1. Harish specializes in Finance and is assigned to Committee 1 together with Geeta.
2. Indu specializes in Operations and is assigned to a different committee from Harish.
3. The IT specialist is assigned to Committee 2.
4. Farhan is not in the same committee as the Legal specialist.

Based on the information above, which of the following statements are correct?

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: Geeta specializes in Legal.; Farhan specializes in IT and is assigned to Committee 2.

Cevap

The correct statements are that Geeta specializes in Legal and that Farhan specializes in IT and is assigned to Committee 2.
Deducing step-by-step places Harish (Finance) and Geeta (Legal) in Committee 1, and Farhan (IT) and Indu (Operations) in Committee 2. Thus, Geeta specializes in Legal, and Farhan specializes in IT in Committee 2.

Adım Adım Çözüm

1
Determine committee memberships
Committee 1 contains Harish and Geeta; Committee 2 contains Farhan and Indu.
Harish and Geeta are together in Committee 1 (Condition 1). Since each committee has 2 members, Farhan and Indu must be in Committee 2. This satisfies Condition 2, placing Indu and Harish in different committees.
2
Assign domain specializations to Committee 2 members
Indu specializes in Operations; Farhan specializes in IT.
Indu specializes in Operations (Condition 2). Condition 3 states the IT specialist is in Committee 2. Since Indu is Operations, Farhan must be the IT specialist.
3
Assign domain specializations to Committee 1 members
Harish specializes in Finance; Geeta specializes in Legal.
Harish specializes in Finance (Condition 1). The remaining domain for Geeta is Legal. This satisfies Condition 4, as Farhan (Committee 2) and the Legal specialist Geeta (Committee 1) are in different committees.

Anahtar Kavram

Analytical Grouping and Deduction
Soru 637Soru

You are a Sub-Divisional Magistrate (SDM) managing a district revenue office. A junior assistant submits a formal written complaint alleging that their reporting Senior Section Officer is deliberately withholding their career advancement recommendation and subjecting them to hostile verbal harassment. Simultaneously, the Senior Section Officer submits an official note claiming that the junior assistant has committed severe procedural lapses regarding missing land registry files, asserting that the grievance is a retaliatory tactic to pre-empt an impending disciplinary inquiry. A critical public land acquisition audit deadline falls in three days, requiring technical inputs from both employees. Which of the following courses of action represents the most administratively sound, ethically compliant, and effective decision for the officer in charge?

Cevabı ve açıklamayı göster

Cevap: Temporarily reassign the supervision of the junior assistant's audit duties to an independent senior officer to ensure administrative continuity, initiate a formal preliminary inquiry into the grievance as per service rules, and permit the missing files inquiry to proceed independently through due process.

Cevap

The administrator should reassign supervision temporarily to maintain work continuity, while independently investigating the grievance and performance lapses through formal due process.
The correct decision decouples the immediate operational requirement (audit completion) from the formal dispute resolution processes. Reassigning supervisory oversight protects the subordinate from potential hostility while preserving the integrity of the pending audit. Simultaneously, allowing both inquiries—the harassment grievance and the file missing inquiry—to proceed independently through formal channels strictly complies with principles of natural justice and civil service conduct rules.

Adım Adım Çözüm

1
Analyze the competing priorities and administrative constraints.
Identified three distinct elements: urgent public project audit (3-day deadline), workplace harassment grievance, and alleged procedural misconduct regarding missing files.
Administrative decisions must segregate operational urgency from formal disciplinary and grievance procedures.
2
Ensure immediate work continuity without compromising fairness or exposing either party to conflict.
Reassigned supervisory oversight of the junior assistant to a neutral senior officer for the duration of the audit.
This mitigates power asymmetry and potential victimisation while ensuring project deadlines are met.
3
Apply institutional rules for grievance redressal and disciplinary inquiry.
Initiated formal preliminary inquiries for both allegations independently under statutory rules.
Both harassment complaints and file management lapses require objective, evidence-based inquiry following principles of natural justice.

Anahtar Kavram

Procedural Due Process and Operational Segregation in Administrative Grievance Redressal
Tahmini Süre:2m 0s
Soru 638Soru

As the Municipal Commissioner of a port city, you are notified of a critical pressure buildup in a large industrial ammonia refrigeration unit located near a densely populated neighborhood. The facility manager requests permission to immediately release the gas directly into the open air to prevent a potential structural explosion. However, statutory disaster management guidelines mandate activating automated chemical scrubbers, deploying water curtains, and executing a staged evacuation of downwind areas prior to any emergency discharge. What is the most appropriate administrative course of action you should take in this situation?

Cevabı ve açıklamayı göster

Cevap: Deny the unscrubbed atmospheric release, immediately activate water curtains and neutralization scrubbers, and initiate the staged evacuation of downwind areas as per protocol.

Cevap

Deny the unscrubbed atmospheric release, immediately activate water curtains and neutralization scrubbers, and initiate the staged evacuation of downwind areas as per protocol.
The correct response prioritizes public health and administrative legality by strictly adhering to established disaster management protocols. Activating water curtains and scrubbers neutralizes the ammonia threat while staged evacuation protects human life without causing unnecessary panic or environmental disaster.

Adım Adım Çözüm

1
Assess the immediate threat and regulatory framework
Identified that releasing toxic gas directly into atmosphere poses immediate life-threatening harm to nearby residents, whereas statutory protocols provide a safe containment mechanism.
Public administration safety standards require adherence to established hazardous material containment steps rather than uncoordinated hazardous releases.
2
Execute protocol-compliant emergency measures
Initiate automated water curtains and chemical scrubbers to absorb ammonia while evacuating downwind zones.
Water curtains suppress airborne ammonia gas rapidly while evacuation ensures zero civilian casualties during pressure stabilization.

Anahtar Kavram

Crisis Management and Emergency Response Scenarios
Soru 639Soru

Match each multi-step movement sequence described in List-I with its corresponding net displacement (distance and direction) relative to the initial starting point in List-II.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Walks 12 m12\text{ m} North, turns right and walks 9 m9\text{ m}, then turns right again and walks 12 m12\text{ m}.
Walks 5 m5\text{ m} East, turns left and walks 12 m12\text{ m}, then turns left again and walks 5 m5\text{ m}.
Walks 15 m15\text{ m} South, turns left and walks 8 m8\text{ m}, then turns left again and walks 15 m15\text{ m}.
Walks 10 m10\text{ m} West, turns left and walks 24 m24\text{ m}, then turns left again and walks 10 m10\text{ m}.

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

The item describing a walk of 12 m12\text{ m} North, 9 m9\text{ m} right (East), and 12 m12\text{ m} right (South) matches 9 m9\text{ m} East; the item describing 5 m5\text{ m} East, 12 m12\text{ m} left (North), and 5 m5\text{ m} left (West) matches 12 m12\text{ m} North; the item describing 15 m15\text{ m} South, 8 m8\text{ m} left (East), and 15 m15\text{ m} left (North) matches 8 m8\text{ m} East; and the item describing 10 m10\text{ m} West, 24 m24\text{ m} left (South), and 10 m10\text{ m} left (East) matches 24 m24\text{ m} South.
Each scenario represents a three-leg trajectory where the first leg and the third leg are of equal magnitude but opposite directions, completely canceling each other out. Thus, the net displacement vector is equal in magnitude and direction to the second leg of the journey.

Adım Adım Çözüm

1
Analyze Path 1: Initial position (0,0)(0,0).
Move North by 12 m(0,12)12\text{ m} \rightarrow (0,12). Turn right (facing East) and move 9 m(9,12)9\text{ m} \rightarrow (9,12). Turn right (facing South) and move 12 m(9,0)12\text{ m} \rightarrow (9,0). Net vector is (9,0)(9,0), which is 9 m9\text{ m} East.
Sequential turns of 9090^\circ clockwise from North lead to East and then South.
2
Analyze Path 2: Initial position (0,0)(0,0).
Move East by 5 m(5,0)5\text{ m} \rightarrow (5,0). Turn left (facing North) and move 12 m(5,12)12\text{ m} \rightarrow (5,12). Turn left (facing West) and move 5 m(0,12)5\text{ m} \rightarrow (0,12). Net vector is (0,12)(0,12), which is 12 m12\text{ m} North.
Sequential turns of 9090^\circ counter-clockwise from East lead to North and then West.
3
Analyze Path 3: Initial position (0,0)(0,0).
Move South by 15 m(0,15)15\text{ m} \rightarrow (0,-15). Turn left (facing East) and move 8 m(8,15)8\text{ m} \rightarrow (8,-15). Turn left (facing North) and move 15 m(8,0)15\text{ m} \rightarrow (8,0). Net vector is (8,0)(8,0), which is 8 m8\text{ m} East.
Sequential left turns while facing South lead to East, then North.
4
Analyze Path 4: Initial position (0,0)(0,0).
Move West by 10 m(10,0)10\text{ m} \rightarrow (-10,0). Turn left (facing South) and move 24 m(10,24)24\text{ m} \rightarrow (-10,-24). Turn left (facing East) and move 10 m(0,24)10\text{ m} \rightarrow (0,-24). Net vector is (0,24)(0,-24), which is 24 m24\text{ m} South.
Sequential left turns while facing West lead to South, then East.

Anahtar Kavram

Orthogonal Vector Addition and Cancelation in Two Dimensions
Tahmini Süre:1m 30s
Soru 640Soru

Consider the following statements regarding the 'Mahtari Vandan Yojana' implemented in Chhattisgarh:

1. Under the scheme, eligible beneficiaries receive a monthly financial assistance of ₹1,000 directly transferred to their bank accounts.
2. To be eligible, a woman must be a married resident of the state and at least 21 years of age as of January 1 of the application year.
3. The scheme is executed under the administrative purview of the State Department of Agriculture and Farmers Welfare.

Which of the statements given above are correct?

Cevabı ve açıklamayı göster

Cevap: 1 and 2 only

Cevap

Statements 1 and 2 only are correct.
Under the Mahtari Vandan Yojana, the Government of Chhattisgarh provides direct financial assistance of ₹1,000 per month (₹12,000 annually) to eligible married women residing in the state who are at least 21 years of age as of January 1 of the respective year. Because the scheme is formulated and executed by the Department of Women and Child Development, the statement attributing implementation to the Department of Agriculture is factually incorrect. Therefore, only the first and second statements are correct.

Adım Adım Çözüm

1
Evaluate the financial assistance component (Statement 1)
Statement 1 is correct.
The Mahtari Vandan Yojana provides ₹1,000 per month (totaling ₹12,000 per annum) directly credited to the beneficiary's Aadhaar-linked bank account through Direct Benefit Transfer (DBT).
2
Evaluate the demographic and age eligibility criteria (Statement 2)
Statement 2 is correct.
The scheme mandates that the applicant must be a domicile resident married woman of Chhattisgarh who has attained the minimum age of 21 years as of January 1 of the application year (widows, divorced, and abandoned women are also eligible).
3
Evaluate the implementing administrative department (Statement 3)
Statement 3 is incorrect.
The nodal authority responsible for implementing, supervising, and disbursing benefits under the scheme is the Department of Women and Child Development, Government of Chhattisgarh, rather than the Department of Agriculture and Farmers Welfare.

Anahtar Kavram

Core financial entitlements, target beneficiary eligibility parameters, and nodal administrative departments of state flagship women welfare schemes.
Tahmini Süre:1m 15s
ÖncekiSayfa 32 / 230Sonraki
Tüm alıştırma soruları — State PSC Exam | Examkin