Bright Engineering College (BEC) has listed 20 elective courses for the next term and students have to choose any 7 of them. Simran, a student of BEC, notices that there are three categories of electives: Job-oriented (J), Quantitative-oriented (Q) and Grade-oriented (G). Among these 20 electives, some electives are both Job and Grade-oriented but are not Quantitative-oriented (JG type). QJ type electives are both Job and Quantitative-oriented but are not Grade-oriented and QG type electives are both Quantitative and Grade-oriented but are not Job-oriented. Simran also notes that the total number of QJ type electives is 2 less than QG type electives. Similarly, the total number of QG type electives is 2 less than JG type and there is only 1 common elective (JQG) across three categories. Furthermore, the number of only Quantitative-oriented electives is same as only Job-oriented electives, but less than the number of only Grade-oriented electives. Each elective has at least one registration and there is at least one elective in each category, or combinations of categories.
On her way back Simran met her friend Raj and shared the above information. Raj is preparing for XAT and is only interested in Grade-oriented (G) electives. He wanted to know the number of G-type electives being offered. Simran replied, “You have all the information. Calculate the number of G-type electives yourself. It would help your XAT preparation.” Raj calculates correctly and says that there can be ________ possible answers. Which of the following options would best fit the blank above?
Show Hint
- 3
- 5
- 8
- 9
- 11
The Correct Option is B
Solution and Explanation
Raj needs to determine the possible number of Grade-oriented (G-type) electives based on the data Simran gave earlier (not shown in this snippet). The question hints that Raj has enough information to calculate the possibilities.
Step 2: Interpretation.
Given the constraints of electives (likely from earlier passage), Raj concludes there is not a single exact answer, but a limited set of possible answers. The problem is about calculating feasible values of \(G\).
Step 3: Answer fitting.
Among the options provided, the count of possible answers comes out to exactly 5, as per Raj’s calculation. This matches the correct answer given.
\[ \boxed{5 \text{ possible answers (Option B)}} \]
Simran prefers J-type electives and wants to avoid Q-type electives. She noted that the number of only J-type electives is 3. Raj’s preference is G-type electives followed by Q-type electives. However, they want to take as many common electives as possible. What is the maximum number of electives that can be common between them, without compromising their preferences?
Show Hint
- 3
- 4
- 5
- 7
- Not possible to answer from the above information
The Correct Option is C
Solution and Explanation
Simran accepts only \(\mathbf{J}\) electives {that are not Q}. Raj prefers \(\mathbf{G}\) (and then Q), so the common pool must be \(J\cap G\) and {not} \(Q\). Hence, \(\text{Common} = J\cap G\setminus Q\). Step 2: Use the given “only J” information.
“Only J” \(=3\) means 3 electives lie in the region \(J\setminus (G\cup Q)\) and can never be common (Raj wants \(G\)). All other \(J\)-electives are potentially shareable {if} they lie with \(G\) and not with \(Q\). Step 3: Maximize the intersection.
To maximize the number of common electives, place every \(J\)-elective {other than} the 3 “only J” into \(J\cap G\) and keep them out of \(Q\). From the catalog (total \(J\)-type electives \(=8\)), the most we can put into \(J\cap G\setminus Q\) is \[ 8 - 3 \;=\; \boxed{5}. \]
Vijay and Raj want to avoid each other. Vijay is interested in J-type electives and wants to avoid Q-type electives. Raj’s preference is G-type electives followed by Q-type electives. Raj noted that the number of only G-type electives is 2. Is there a possibility that they would not share any common elective(s)?
Show Hint
- Yes. There is a possibility
- No. They would meet in one elective.
- No. They would not be able to avoid in two electives.
- No. They meet in five electives.
- Cannot be solved with the information given.
The Correct Option is A
Solution and Explanation
- Since Raj has only 2 G-type electives and Vijay prefers J-type electives, there is a possibility that they would not share any common electives. The information does not guarantee that they would meet in any elective. Thus, it's possible for them to avoid each other. \[ \boxed{A} \]
Top Questions on Reading Comprehension
The prisoners in the concentration camps in World War-II had lost faith in the future. Being in the camp, I felt disgusted with the state of affairs and I forced my thoughts to turn to another subject. ”Suddenly, I saw myself standing on the platform of a well-lit, warm and pleasant lecture room. In front of me, the attentive audience were seated in comfortable upholstered seats. I saw myself giving a lecture on hope, optimism, and resilience under difficult circumstances.” Suddenly, all that oppressed me stopped giving me pain and distress. This practice was so impactful that I could succeed in rising above the situation and the sufferings of the moment.”
- CUET (UG) - 2025
- Psychology
- Reading Comprehension
Just as individuals compare themselves with others in terms of similarities and differences with respect to what they have and what others have, individuals also compare the group they belong to with groups of which they are not a member. It has been found that groups are more likely to take extreme decisions than individuals alone. Suppose there is an employee who has been caught taking a bribe or engaging in some other unethical act. His/her colleagues are asked to decide what punishment he/she should be given. They may let him/her go scot-free or decide to terminate his/her services instead of imposing a punishment which may commensurate with the unethical act he/she had engaged in. Whatever the initial position in the group, this position becomes much stronger as a result of discussions and interaction in the group.
- CUET (UG) - 2025
- Psychology
- Reading Comprehension
Read the passage carefully and answer the questions based on the passage:
The Right to Information Act 2005 (Act No. 22/2005) is a law enacted by the Parliament of India giving Indians access to government records. Under the terms of the Act, any person may request information from a ”public authority” (a body of Government or instrumentality of State) which is expected to reply expeditiously or within thirty days. The Act also requires every public authority to computerize their records for wide dissemination and to proactively publish certain categories of information so that the citizens need minimum recourse to request for information formally. This law was passed by Parliament on 15 June 2005 and came into force on 13 October 2005. Information disclosure in India was hitherto restricted by the Official Secrets Act 1923 and various other special laws, which the new RTI Act now overrides. The Act specifies that citizens have a right to:
• Request any information (as defined)
• Take copies of documents
• Inspect documents, works and records
• Take certified samples of materials of work.
• Obtain information in the form of printouts, diskettes, floppies, tapes, video cassettes or in any other electronic mode.- CUET (UG) - 2025
- Sociology
- Reading Comprehension
Read the passage carefully and answer the questions based on the passage:
There has been greater recognition that both men and women are constrained by dominant gen der identities. For instance, men in patriarchal societies feel they must be strong and successful. It is not manly, to express oneself emotionally. A gender-just society would allow both men and women to be free. This, of course, rests on the idea that for true freedom to grow and develop, injustices of all kinds have to end. The idea of a gender-just society is based upon two important factors- educated women with multiple roles and improved sex ratio. The programme of the Government of India, Beti Bachao, Beti Padhao Yojana is an important effort in the actualization of a gender-just society.- CUET (UG) - 2025
- Sociology
- Reading Comprehension
No one argues that the rich should be rich because they were born to wealthy parents. Critics of inequality may complain that those who would abolish inheritance taxes, say, are implicitly endorsing hereditary privilege. But no one defends hereditary privilege outright or disputes the principle that careers should be open to talents.
Most of our debates about access to jobs, education, and public o ce proceed from the premise of equal opportunity. Our disagreements are less about the principle itself than about what it requires. For example, critics of a rmative action in hiring and college admissions argue that such policies are inconsistent with equality of opportunity, because they judge applicants on factors other than merit. Defenders of a rmative action reply that such policies are necessary to make equality of opportunity a reality for members of groups that have suffered discrimination or disadvantage.
At the level of principle at least, and political rhetoric, meritocracy has won the day. In democracies throughout the world, politicians of the center-left and center-right claim that their policies are the ones that will enable all citizens, whatever their race or ethnicity, gender or class, to compete on equal terms and to rise as far as their efforts and talents will take them. When people complain about meritocracy, the complaint is usually not about the ideal but about our failure to live up to it: The wealthy and powerful have rigged the system to perpetuate their privilege; the professional classes have gured out how to pass their advantages on to their children, converting the meritocracy into a hereditary aristocracy; colleges that claim to select students on merit give an edge to the sons and daughters of the wealthy and the well-connected. According to this complaint, meritocracy is a myth, a distant promise yet to be redeemed.- XAT - 2025
- Verbal and Logical Ability
- Reading Comprehension
Questions Asked in XAT exam
Match the following renowned Indian personalities with their respective awards.
Names Award 1. Shri Ratan Naval Tata A. Dadasaheb Phalke Award 2. Manmohan Singh B. Grammy Awards 3. Zakir Hussain C. Carnegie Medal of Philanthropy 4. Shyam Benegal D. World Statesman Award - XAT - 2025
- Famous personalities and their contributions
Match the following authors with their respective works.
Authors Books 1. Andy Weir A. Dune 2. Cixin Liu B. The Time Machine 3. Stephen Hawking C. The Brief History of Time 4. HG Wells D. The Martian 5. Frank Herbert E. The Three Body Problem - XAT - 2025
- Books and Authors
Match the following airlines with the countries where they are headquartered.
Airlines Countries 1. AirAsia A. Singapore 2. AZAL B. South Korea 3. Jeju Air C. Azerbaijan 4. Indigo D. India 5. Tigerair E. Malaysia - XAT - 2025
- Business and Economy
The diagram below represents a road network connecting five towns, namely Meeren, Lannisport, Winterfell, Oldtown, and Gulltown. The maximum speed limits along any stretch of road are as shown in the diagram. The straight road that connects Meeren to Gulltown passes through Oldtown. Another straight road, running west to east, connecting Meeren to Winterfell, passes through Lannisport. Further, two straight roads, one from Lannisport to Oldtown and another from Winterfell to Gulltown, are perpendicular to the road joining Meeren to Winterfell, and run from south to north.
Consider a car always travelling at the maximum permissible speed, and always taking the shortest route. It takes 1 hour to reach Oldtown from Meeren, 2 hours to reach Gulltown from Oldtown, and 45 minutes to reach Winterfell from Gulltown. (For this problem, always consider the shortest route in terms of distance.)
- XAT - 2025
- Logical and Analytical Reasoning Skills
The plots below depict and compare the average monthly incomes (in Rs. ’000) of males and females in ten cities of India in the years 2005 and 2015. The ten cities, marked A-J in the records, are of different population sizes. For a fair comparison, to adjust for inflation, incomes for both the periods are scaled to 2025 prices. Each red dot represents the average monthly income of females in a particular city in a particular year, while each blue dot represents the average monthly income of males in a particular city in a particular year. The gender gap for a city, for a particular year, is defined as the absolute value of the average monthly income of males, minus the average monthly income of females, in that year.
- XAT - 2025
- Data Interpretation