Data Interpretation

A state tourism board recorded a total of $8,500$ visitors across three heritage sites—Site Alpha, Site Beta, and Site Gamma—during a cultural festival. The number of visitors to Site Alpha accounted for $40\%$ of the total visitors. Out of the visitors to Site Alpha, the ratio of domestic to international tourists was $3:2$. Site Beta received $1,500$ fewer visitors than Site Alpha. At Site Beta, the number of international tourists was equal to the number of international tourists at Site Alpha. The remaining visitors went to Site Gamma, where $70\%$ were domestic tourists.

What is the difference between the total number of domestic tourists and the total number of international tourists across all three sites?

The table below presents the quarterly administrative software licensing costs (in ₹ Lakhs) for four governmental departments during the fiscal year 2025-26:

What is the absolute difference in Rupees between the average quarterly cost of Dept C and the combined cost of Dept B in the first half of the fiscal year (Q1 and Q2)?

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?

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?

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?

In a administrative evaluation conducted for $250$ government officers, data was collected regarding the completion of three specialized training modules: Cyber Security ($C$), Data Analytics ($D$), and Public Procurement ($P$).

- $130$ officers completed Cyber Security
- $110$ officers completed Data Analytics
- $100$ officers completed Public Procurement
- $55$ officers completed both Cyber Security and Data Analytics
- $40$ officers completed both Data Analytics and Public Procurement
- $45$ officers completed both Cyber Security and Public Procurement
- $20$ officers completed all three modules

Based on the information provided, how many officers completed exactly two training modules?

A survey was conducted among $400$ administrative officers in a state secretariat regarding their operational oversight of three major public welfare projects: Project Alpha, Project Beta, and Project Gamma. The survey collected the following data:

- $190$ officers oversee Project Alpha.
- $180$ officers oversee Project Beta.
- $170$ officers oversee Project Gamma.
- $85$ officers oversee both Project Alpha and Project Beta.
- $75$ officers oversee both Project Beta and Project Gamma.
- $70$ officers oversee both Project Alpha and Project Gamma.
- $40$ officers do not oversee any of these three projects.

Based on the given information, how many administrative officers oversee exactly two projects?

The following table shows the number of employees across three departments in a company over three years, with some missing data indicated by dashes:

What is the number of employees in the HR department in the year 2022?

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?

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?

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?

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 value of the positive integer $n$?

Statement I: $n + 8 = 15$
Statement II: $3n = 21$

Which of the following options correctly describes the sufficiency of the statements to answer the question?

What is the average age of a class of 20 students?

Statement I: The sum of the ages of all 20 students in the class is 300 years.
Statement II: The age of the youngest student in the class is 12 years.

A rectangular garden is surrounded on all four sides by a concrete walking path of uniform width $w$ meters. What is the area of the concrete walking path in square meters?

Statement I: The perimeter of the outer boundary of the walking path is $80\text{ meters}$.
Statement II: The area of the rectangular garden is $300\text{ square meters}$, and its length is $5\text{ meters}$ greater than its width.

Which of the following options correctly describes the sufficiency of the statements to answer the question?

In a performance audit of $200$ public health centers across a administrative division, adoption of three digital portals was evaluated: Tele-consultation ($T$), Electronic Health Records ($E$), and Medicine Inventory Management ($M$). The audit revealed the following findings: