All practice questions

Statement: The local administration has announced a ban on the use of loudspeakers in residential areas after 10:00 PM to ensure peaceful sleep for the residents.

Which of the following assumptions are implicit in the given statement? (Select all that apply)

Match the national governance initiatives and digital platforms with their primary functional mandates:

Chemical substances are extensively utilized in water purification, industrial refrigeration, and safety equipment. Which of the following statements regarding the applications and behaviors of these chemical compounds are correct?

A local water reservoir was initially filled to exactly $0.\overline{3}$ of its maximum capacity. After several days of heavy rainfall, an additional $14.4$ million liters of water flowed into the reservoir, bringing the water level to $0.6$ of its maximum capacity.

Currently, a nearby town consumes water from the reservoir at a steady rate of $1\frac{1}{2}$ million liters per day. Additionally, an undiscovered leak at the base of the reservoir drains water at a constant rate of $0.05$ million liters per hour.

If the reservoir were completely full and no further water was added, in how many days would it become completely empty?

Eight architects—Harper, Ingram, Jenkins, Knox, Larson, Miller, Novak, and Ortiz—are sitting in two parallel rows containing four people each, such that there is an equal distance between adjacent persons.

In Row 1, Harper, Ingram, Jenkins, and Knox are seated, and all of them are facing South.
In Row 2, Larson, Miller, Novak, and Ortiz are seated, and all of them are facing North.
Therefore, each person in Row 1 faces a person in Row 2.

The following information is given about their seating arrangement:
- Jenkins does not sit at an extreme end of the row.
- Harper sits second to the left of Jenkins.
- Larson faces Harper and sits to the immediate right of Ortiz.
- Novak sits at one of the extreme ends of the row but does not face Jenkins.
- Only one person sits between Miller and Larson.
- Ingram faces Novak.

Based on the given arrangement, who sits to the immediate left of Knox?

During a numerical assessment, a student is asked to calculate a final parameter $N$ by determining three specific mathematical components:

- Component $A$: The mathematically correct positive remainder when $-27$ is divided by $4$.
- Component $B$: The unit digit of the number $2^{120}$.
- Component $C$: The value of the arithmetic expression $8 + 12 \div 4$.

The parameter is then calculated using the formula $N = A + B + C + 7$. Assuming the student evaluates all components correctly, which of the following best describes the classification of the number $N$?

An interior designer is planning to cover the lengths of three different hallways with square marble tiles. The lengths of the three hallways are $\frac{15}{4}$ meters, $\frac{25}{6}$ meters, and $\frac{35}{8}$ meters. To avoid cutting any marble tiles, the designer wants to use the largest possible square tiles that can perfectly measure these lengths.

What is the maximum possible side length of each square tile?

While conducting a routine inspection of a government welfare canteen, an inspecting officer finds that the food quality meets all health standards, but the manager has failed to record the daily inventory entries for the last two days due to an unexpected clerical staff shortage. Which of the following is the most appropriate initial administrative course of action for the inspecting officer to take?

In a regional agricultural department, a survey was conducted among $160$ field officers regarding their supervisory duties across three major crop initiatives: Wheat ($W$), Rice ($R$), and Cotton ($C$). The survey revealed that $85$ officers supervise Wheat, $70$ supervise Rice, and $60$ supervise Cotton. Furthermore, $35$ officers supervise both Wheat and Rice, $25$ supervise both Rice and Cotton, $30$ supervise both Wheat and Cotton, and $15$ officers supervise all three crop initiatives. How many field officers supervise exactly two of these three crop initiatives?

In a family of six members—$P, Q, R, S, T,$ and $U$—there are two married couples. $Q$ is a doctor and the mother of $T$. $U$ is the grandfather of $R$ and works as a contractor. $S$ is the father of $T$ and works as a manager. $P$ is the sister of $R$. How is $T$ related to $U$?

What is the remainder when $4^{15}$ is divided by $5$?

In a class merit list, Rahul is ranked $15^{\text{th}}$ from the top and $21^{\text{st}}$ from the bottom. What is the total number of students in the class?

Read the two statements given below and answer the question that follows:

Statement I: Regional commercial banks reported a significant drop in successful credential-harvesting cyberattacks over the last quarter.
Statement II: The central banking authority mandated multi-factor biometric authentication for all digital transactions six months ago.

Which of the following options best describes the logical relationship between Statement I and Statement II?

In a district administrative audit of $240$ agricultural cooperatives, compliance with three digital platforms was surveyed: E-Farming Portal ($P$), Soil Health Database ($S$), and Crop Insurance Registry ($I$). It was found that $115$ cooperatives use $P$, $110$ use $S$, and $105$ use $I$. Exactly $25$ cooperatives do not use any of the three platforms, and $20$ cooperatives use all three platforms. Furthermore, the number of cooperatives using only $P$, only $S$, and only $I$ are in the ratio $8 : 9 : 7$, respectively. How many cooperatives use exactly two of these digital platforms?

At sunset, a surveyor facing the setting sun launches a drone from a fixed control pad. The drone executes the following sequence of movements:
1. It travels $40\text{ m}$ straight ahead in the direction the surveyor is facing.
2. It turns $135^\circ$ clockwise and flies $30\sqrt{2}\text{ m}$.
3. It makes a $90^\circ$ right turn and flies $10\sqrt{2}\text{ m}$.
4. Finally, it turns $135^\circ$ counter-clockwise and flies $15\text{ m}$.

What is the shortest straight-line distance of the drone from the control pad, and in which direction is it located relative to the starting point?

In a district administration department, a survey was conducted among $250$ officers regarding their technical expertise in three digital governance domains: Cyber Security ($C$), Data Analytics ($D$), and Public Grievance Portals ($P$). The data collected is as follows:
- $120$ officers have expertise in Data Analytics.
- $115$ officers have expertise in Cyber Security.
- $100$ officers have expertise in Public Grievance Portals.
- $50$ officers have expertise in both Data Analytics and Cyber Security.
- $45$ officers have expertise in both Cyber Security and Public Grievance Portals.
- $40$ officers have expertise in both Data Analytics and Public Grievance Portals.
- $20$ officers possess expertise in all three digital governance domains.

Based on the given data, how many officers have expertise in EXACTLY TWO of these three domains?

Match each administrative scenario described in Column I with the corresponding primary administrative ethical principle in Column II.

A state capital's public transport corporation reports a sharp decline in bus ridership alongside a severe surge in suburban traffic congestion over the past year. A preliminary investigation reveals that erratic bus scheduling and unaligned route networks have drastically increased passenger wait times, prompting commuters to switch to private two-wheelers and unregulated shared vans. Additionally, depot managers report frequent vehicle breakdowns due to deferred maintenance. To resolve this urban transport crisis, which of the following is the most effective and proportional administrative strategy for the transport commissioner to implement?

In a straight row of parked vehicles, a red car is positioned $14^{\text{th}}$ from the left end and $19^{\text{th}}$ from the right end. What is the total number of vehicles parked in the row?

You are serving as the Sub-Divisional Magistrate (SDM) designated as the Incident Commander following a major passenger train derailment in a rural block during heavy rains. A derailed wagon carrying pressurized Liquefied Petroleum Gas (LPG) adjacent to passenger coaches is reported to be leaking, while unverified rumors of an imminent blast are triggering widespread panic among local villagers attempting informal rescue operations. Which of the following represents the most appropriate immediate administrative response under standard disaster management protocols?