All practice questions

Under the Registration of Births and Deaths (Amendment) Act, enacted to streamline digital public service delivery and create a centralized civil database, which document has been statutorily designated as the single conclusive proof of date and place of birth for school admissions, voter registration, government appointments, and issuance of passports and driving licences?

Regarding the eligibility criteria and benefit structure of the 'Yuva Nidhi' scheme introduced by the Government of Karnataka for educated unemployed youth, which of the following statements is accurate?

A local health department issues the following public advisory: "Avoid consuming pre-cut fruits sold by roadside vendors to prevent the spread of stomach infections during the rainy season."

Below are two assumptions based on the advisory:
Assumption I: Pre-cut fruits sold by roadside vendors during the rainy season are likely to be contaminated and can cause stomach infections.
Assumption II: People do not consume pre-cut fruits during other seasons of the year.

Which of the given options correctly identifies the implicit assumption(s)?

During gametogenesis in a diploid organism, non-disjunction of a homologous chromosome pair occurs during Anaphase I of meiosis. Assuming normal segregation in Meiosis II, which of the following chromosome distributions will be observed in the four resulting gametes?

What is the unit digit of the expression $7^{43} + 9^{27}$?

In a civil services training academy of $120$ officers, $70$ officers speak English, $60$ officers speak Hindi, and $30$ officers speak both English and Hindi. Based on this set data, which of the following statements are correct?

As the Commandant of the State Disaster Response Force (SDRF) responding to a major freight train derailment involving breached hazardous chemical tankers near a populated area, you must execute standard incident command operational procedures. Arrange the following crisis management measures in their correct operational sequence from first to last:

Four committee members—Aman, Bina, Charan, and Divya—are to be assigned to two discussion groups, Group X and Group Y, such that each group contains exactly two members.

The group assignments must follow these conditions:
1. Aman and Bina cannot be placed in the same group.
2. Charan is assigned to Group X.
3. Divya is assigned to the same group as Bina.

Which member is assigned to Group X along with Charan?

A land surveyor begins at a base camp $O$. She walks $12\text{ m}$ due East to reach point $A$. From point $A$, she turns $90^\circ$ clockwise and walks $16\text{ m}$ to point $B$. Facing South at point $B$, she turns $135^\circ$ anti-clockwise and walks $10\sqrt{2}\text{ m}$ to point $C$. Finally, she turns due West and walks $14\text{ m}$ to stop at point $D$. What is the shortest distance (in meters) between the base camp $O$ and point $D$?

What is the unit digit of the expression $S = (1! + 2! + 3! + \dots + 99!) + 3^{99}$?

A district administration conducted a specialized training audit for a cadre of $300$ officers across three administrative domains: E-Governance ($E$), Disaster Management ($D$), and Financial Administration ($F$). The data gathered from the audit is as follows:

- $140$ officers are trained in E-Governance.
- $130$ officers are trained in Disaster Management.
- $120$ officers are trained in Financial Administration.
- $50$ officers are trained in both E-Governance and Disaster Management.
- $40$ officers are trained in both Disaster Management and Financial Administration.
- $45$ officers are trained in both E-Governance and Financial Administration.
- $20$ officers are trained in all three domains.

Based on the data provided, which of the following statements are correct?

In a rural development assessment of $200$ villages in a district, data regarding access to three basic infrastructure facilities—Piped Water, Solar Power, and Broadband Internet—was recorded as follows:
- $110$ villages have access to Piped Water.
- $100$ villages have access to Solar Power.
- $90$ villages have access to Broadband Internet.
- $50$ villages have access to both Piped Water and Solar Power.
- $40$ villages have access to both Solar Power and Broadband Internet.
- $45$ villages have access to both Piped Water and Broadband Internet.
- $20$ villages have access to all three facilities.

Which of the following statements are correct?

Let $N$ be the smallest positive integer that leaves a remainder of $3$ when divided by $11$, a remainder of $5$ when divided by $13$, and is exactly divisible by $7$. What is the remainder when $N^4 + N^2 + 1$ is divided by $17$?

In a state administrative academy, a batch of $300$ probationary officers were surveyed regarding their enrolment in three specialized training modules: Cyber Security ($C$), Public Policy ($P$), and Financial Management ($F$). The survey revealed the following data:
- Total officers enrolled in Cyber Security: $160$
- Total officers enrolled in Public Policy: $140$
- Total officers enrolled in Financial Management: $130$
- Officers enrolled in both Cyber Security and Public Policy: $65$
- Officers enrolled in both Public Policy and Financial Management: $55$
- Officers enrolled in both Cyber Security and Financial Management: $50$
- Officers enrolled in all three modules: $20$

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

Determine the unit digit of the composite exponential expression $E = 17^{18^{19}} + 18^{19^{20}} - 19^{20^{21}}$.

Four senior administrative officers—Ananya, Bikram, Chitra, and Dev—are to be assigned to head four different departments (Agriculture, Education, Transport, and Urban Development) across four city postings (Ranchi, Raipur, Shimla, and Dehradun), based on the following analytical conditions:

1. Ananya is not assigned to Ranchi or Dehradun, and does not head Agriculture or Transport.
2. The officer heading Urban Development is posted in Raipur.
3. Bikram heads the Education department, but is posted neither in Dehradun nor in Ranchi.
4. Chitra is posted in Ranchi, but does not head the Transport department.
5. Dev is not posted in Raipur.

Match each officer on the left with their correct department and city posting combination on the right.

What is the next letter in the given alphabetical series: $Z, X, V, T, R, \dots$?

Following seasonal monsoon rains, a District Medical Officer notes a sudden spike in gastrointestinal infections in a specific residential sector, despite the central water treatment plant operating at full chlorination standards. A quick technical audit reveals that informal household connections have caused drinking water pipes to run directly through open stormwater drains, leading to localized cross-contamination during flooding. Which of the following is the most proportional and effective administrative intervention to address the root cause of this health crisis?