All practice questions

As a Sub-Divisional Magistrate (SDM), you receive an urgent alert regarding a structural building collapse in a busy commercial area following continuous rains, with several citizens suspected to be trapped under the debris. Which of the following measures represent appropriate immediate emergency response actions under standard crisis management protocol?

You are serving as the District Magistrate and head of the District Disaster Management Authority during a severe compound crisis. The district emergency control room reports three simultaneous critical incidents:

1. Sector X (Rural Flash Flood): 4,000 residents are marooned on elevated ground with critical drinking water shortages and rising floodwaters that threaten to overflow an earthen embankment within 4 hours.
2. Sector Y (Industrial Zone): A toxic chemical storage unit has caught fire adjacent to an occupied residential residential cluster and primary school, posing an immediate risk of hazardous gas dispersion.
3. Sector Z (Arterial Highway): A major traffic gridlock caused by panic movement and spontaneous citizen protests is completely blocking the primary supply route needed to move relief materials and equipment.

Your available resources are strictly limited to: 3 National Disaster Response Teams (NDRT), 1 Specialized Hazardous Materials (HazMat) Unit, 2 Heavy Earthmoving Vehicles, and local police reserves.

Based on objective administrative principles of life preservation, threat containment, procedural integrity, and proportional resource deployment, which of the following priority ranking and resource allocation actions are administratively justified? (Select ALL correct choices)

Read the following two statements carefully and determine the logical relationship between them:

Statement I: Small-scale inland aquaculture farms located along the lower river basin registered severe fish mortality and sharp declines in harvest yields over the past quarter.

Statement II: Manufacturing units situated along the upper river tributaries repeatedly discharged untreated effluents containing toxic chemical residues beyond statutory limits during the preceding months.

Which of the following statements correctly describes the relationship between Statement I and Statement II?

In public administration and workplace governance, a manager must deploy proportional, constitutionally sound, and administratively effective interventions to resolve subordinate grievances and performance issues. Match each workplace administrative scenario on the left with its most appropriate administrative intervention on the right.

What is the final value of the expression $36 \div 4 \times 3 + (15 - 7) - 10$?

In basic arithmetic, the unit digit of a power of an integer repeats in a periodic pattern known as cyclicity. What is the unit digit of $3^{45}$?

During an urban mobility audit conducted among $400$ daily commuters in a metropolitan city, data was recorded regarding their regular use of three transit modes: Metro Rail ($M$), Electric Bus ($E$), and Shared Bicycle ($B$). The survey revealed that $190$ commuters use Metro Rail, $160$ use Electric Bus, and $120$ use Shared Bicycle. Furthermore, $60$ commuters use both Metro Rail and Electric Bus, $40$ use both Electric Bus and Shared Bicycle, and $50$ use both Metro Rail and Shared Bicycle. If $20$ commuters utilize all three modes of transport, how many commuters do not use any of these three transit modes?

The following table shows the number of students who appeared, passed, and failed in an annual examination across four different schools. Some data entries are missing and represented by a dash (--).

What is the total number of students who passed the examination across all four schools combined?

What is the unit digit of the composite exponential expression $E = (432^{316} \times 657^{235}) + 875^{432} - 959^{411}$?

The following table provides the annual expenditure (in ₹ Crores) of four administrative departments in a state over three fiscal years, with some values missing (indicated by dashes '—').

Based on the data provided, what is the difference (in ₹ Crores) between the average department expenditure in 2022-23 and the average department expenditure in 2021-22?

A positive integer $N$ when successively divided by $4$, $5$, and $6$ leaves remainders of $2$, $3$, and $4$, respectively. What is the sum of the remainders obtained when the smallest such number $N$ is successively divided by $6$, $5$, and $4$, in that order?

Three numbers $x$, $y$, and $z$ are positive integers. What is the exact value of $x$?

Statement I: The arithmetic mean of $x$, $y$, and $z$ is equal to $x + 2$, where $y \le z$.
Statement II: The least common multiple (LCM) of $y$ and $z$ is $12$, and their greatest common divisor (GCD) is $2$.

Which of the following options correctly describes the sufficiency of the statements?

What is the unit digit of the expression $8^{20} + 7^{13}$?

A survey was conducted among $500$ rural households in a district regarding their adoption of three e-governance services: Digital Payments ($P$), E-Health Cards ($H$), and Online Land Records ($L$). The survey revealed that $210$ households use Digital Payments, $190$ use E-Health Cards, and $220$ use Online Land Records. Additionally, $80$ households use both Digital Payments and E-Health Cards, $70$ use both E-Health Cards and Online Land Records, and $90$ use both Digital Payments and Online Land Records. If $40$ households use all three e-governance services, how many households use at least two of these services?

What is the unit digit of the composite exponential expression $S = 717^{100} + 424^{101} - 818^{100}$?