List of top Questions asked in XAT

The addition of 7 distinct positive integers is 1740. What is the largest possible “greatest common divisor” of these 7 distinct positive integers?

Five students appeared for an examination. The average mark obtained by these five students is 40. The maximum mark of the examination is 100, and each of the five students scored more than 10 marks. However, none of them scored exactly 40 marks. Based on the information given, which of the following MUST BE true?

There are three sections in a question paper, and each section has 10 questions. First section only has multiplechoice questions, and 2 marks will be awarded for each correct answer. For each wrong answer, 0.5 marks will be deducted. Any unattempted question in this section will be treated as a wrong answer. Each question in the second section carries 3 marks, whereas each question in the third section carries 5 marks. For any wrong answer or unattempted question in the second and third sections, no marks will be deducted. A student’s score is the addition of marks obtained in all the three sections. What is the sixth-highest possible score?

Let x and y be two positive integers and p be a prime number. If x (x – p) – y (y + p) = 7p, what will be the minimum value of x – y?

A painter draws 64 equal squares of 1 square inch on a square canvas measuring 64 square inches. She chooses two squares (1 square inch each) randomly and then paints them. What is the probability that two painted squares have a common side?

Go through the information given below, and answer the questions that follow.
The three graphs below capture the relationship between economic (and social) activities and subjective wellbeing. The first graph (Graph-1) captures the relationship between GDP (per-capita) and Satisfaction with life, across different countries and four islands: Gizo, Roviana, Niijhum Dwip, and Chittagong. The Graph-2 captures three different measures of subjective well-being (Satisfaction with life, Affect Balance and Momentary Affect) across the four islands, which have different levels monetization (Index). The Graph-3 captures levels of thirteen different socio-economic activities across four islands.

Which of the following, about the four islands, can be BEST inferred from the graphs?

Jose borrowed some money from his friend at a simple interest rate of 10% and invested the entire amount in stocks. At the end of the first year, he repaid 1/5th of the principal amount. At the end of the second year, he repaid half of the remaining principal amount. At the end of third year, he repaid the entire remaining principal amount. At the end of the fourth year, he paid the last three years’ interest amount. As there was no principal amount left, his friend did not charge any interest in the fourth year. At the end of fourth year, he sold out all his stocks. Later, he calculated that he gained Rs. 97500 after paying principal and interest amounts to his friend. If his invested amount in the stocks became double at the end of the fourth year, how much money did he borrow from his friend?

The problem below consists of a question and two statements numbered 1 & 2. You have to decide whether the data provided in the statements are sufficient to answer the question. Rahim is riding upstream on a boat, from point A to B, at a constant speed. The distance from A to B is 30 km. One minute after Rahim leaves from point A, a speedboat starts from point A to go to point B. It crosses Rahim’s boat after 4 minutes. If the speed of the speedboat is constant from A to B, what is Rahim’s speed in still water? 1. The speed of the speedboat in still water is 30 km/hour. 2. Rahim takes three hours to reach point B from point A.

Go through the information given below, and answer the questions that follow.

The table captures Age and Gender distribution of COVID positive cases in a country. However, a part of data is missing, represented through unknown categories.
In which age category, the percentage of female COVID patients is the HIGHEST?

Raju and Sarita play a number game. First, each one of them chooses a positive integer independently. Separately, they both multiply their chosen integers by 2, and then subtract 20 from their resultant numbers. Now, each of them has a new number. Then, they divide their respective new numbers by 5. Finally, they added their results and found that the sum is 16. What can be the maximum possible difference between the positive integers chosen by Raju and Sarita?

ABC is a triangle and the coordinates of A, B, and C are (a, b - 2c), (a, b + 4c), and (-2a, 3c), respectively, where a, b, and c are positive numbers. The area of the triangle ABC is:

ABC is a triangle with BC = 5. D is the foot of the perpendicular from A on BC. E is a point on CD such that BE = 3. The value of AB²-AE²+6CD is:

Amit has forgotten his 4-digit locker key. He remembers that all the digits are positive integers and are different from each other. Moreover, the fourth digit is the smallest and the maximum value of the first digit is 3. Also, he recalls that if he divides the second digit by the third digit, he gets the first digit. How many different combinations does Amit have to try for unlocking the locker?

Find the value of  $$ \dfrac{\sin^6 15^\circ + \sin^6 75^\circ + 6 \sin^2 15^\circ + \sin^2 75^\circ}{\sin^4 15^\circ + \sin^4 75^\circ + 5 \sin^2 15^\circ \sin^2 75^\circ} $$ 

Given \( A = |x+3 + |x-2| - |2x-8| \). The maximum value of \( |A| \) is : 

Consider an+1 = 1/1+1/an for n = 1,2,.......2008,2009. where a1 = 1. Find the value of a1a2 + a2a3 + a3a4+ .......+ a2008a2009.

Direction: Read the following scenario and answer the TWO questions that follow.
The CEO of the Jamshedpur Tea Factory (JTF) was in a quandary over employees skipping work. It was becoming increasingly difficult for him to identify employees who faked illness to skip work. The work of the employees was complex and intricate, and they had to report to eight supervisors. “Faking illness” made it difficult for JTF to judiciously decide on “Promotion” and “Training” of employees. An employee could only be promoted on the completion of a multi-skilling training program. Further, to be nominated for the training program, an employee must be recommended by a minimum of six supervisors. JTF wanted to promote only sincere and deserving employees.
Which of the following policies will be MOST prone to error while selecting deserving and sincere employees?

Direction: Read the following scenario and answer the THREE questions that follow.
Bharat Business School (BBS), a premier business school, was renowned for the quality education it provided. Its faculty, known for their domain area expertise and excellence in teaching, competed with each other for a better student feedback. Of late, the institute was finding it difficult to upgrade its course content with rapidly changing global business scenario. The difficulties multiplied when the school realized that some of senior faculty would retire on regular basis, starting in the near future. To overcome these difficulties, BBS decided to recruit young faculty in all the departments (e.g., Economics, Finance, Marketing, HRM, Production etc).
When the Dean - Academics scanned the applications, she found three distinct types of aspirants viz. (i) A type candidates who were very good teachers, competent at teaching the courses taught by existing faculty members; (ii) B type candidates who were average teachers, competent at creating and teaching new courses that would complement existing courses, taught by the current faculty; (iii) C type candidates were not-so-good teachers, willing to teach any course BBS required.
Note1: A course is termed complementary when it covers the latest content and complements existing courses offered by a department.
Note2: Each department decides the suite of courses to be offered.
Suppose the Dean-Academics wanted to ensure the most efficient utilization of faculty resources.
Which of the following hiring decisions will ensure the MOST efficient utilization of faculty resources?

Direction:Read the following scenario and answer the THREE questions that follow.
Arti, CEO of an FMCG company, was under pressure from the Board of Governors (BoG) to increase diversity in the workforce. The board wanted the company to hire candidates with vision impairment*, as it believed that they contributed to organizations in many unique ways.
The CEO was apprehensive of hiring visually impaired candidates; she was not sure about the feasibility of accommodating them in the current setting. Moreover, Arti was unsure as to how the visually impaired could contribute meaningfully to the organization.
(* A person, with a vision impairment in a range of 60-100 percent, is referred to as a visually impaired person. A person with 100 percent vision impairment cannot see at all.)
Arti wanted to follow the suggestion given by the Board of Governors; however, she was not sure if the company was ready to accommodate candidates with 100 percent visual impairment. Also, the concern of involving such employees in meaningful activities was constantly bothering her. Hence, she constituted a committee to come up with recommendations that would help the company in hiring 100 percent visually impaired employees
After two months of deliberations, the committee came up with the following recommendations:
1). Hire visually impaired employees unconditionally as it is any company’s social responsibility
2). Hire visually impaired employees in the activities they can contribute
3). Ensure visually impaired friendly office space, food courts, restrooms, parking etc.
4). Allow guide dogs to assist employees with 100 percent vision impairment in the office premises
Which of the following options will BEST allay concerns as well as be fair to all stakeholders?

Direction: Read the following scenario and answer the TWO questions that follow.
Moonlighting is the practice of working for one organisation while also accepting additional responsibilities and jobs, typically without the employer's knowledge in another organization. It is named as such because it is typically performed at night or on the weekends. “Doing two remote jobs at once was already happening; it was the biggest open secret out there in tech," said a US techie.
Due to weaker margins, major Indian IT companies such as Infosys, TCS, and Wipro announced that they would delay, postpone, or reduce variable pay-outs to employees for the first quarter of fiscal year 2023. This drew attention to Moonlighting.
The Indian IT industry was divided on the issue of Moonlighting. Some considered it unethical, while others viewed it as an urgent necessity. Infozeta Chairman Patrick's stance on this matter was crystal clear. "There is a great deal of talk about people working part-time in the tech industry. This is cheating, pure and simple," he had tweeted.
However, McMillan, CEO of Betauniverse, does not consider Moonlighting as "cheating.". "Employment is a contract between an employer who pays me for working 'n' number of hours per day," he explained. “Now, what I do after that time is entirely up to me; I can do whatever I please."
Which of the following options will have the LEAST negative consequence on Moonlighting employees?

Direction: Read the following scenario and answer the THREE questions that follow.
In recent years, complaints of sexual harassment at “Fair Consulting” had increased exponentially. Fair Consulting had a gender-neutral, anti-sexual harassment policy and a committee to adjudicate on complaints. During the hearing of complaints, allegations and counter-allegations would fly thick and fast. This made it difficult for the adjudicating committee to conclusively decide on the complaints.
Of late, the adjudicating committee received a complaint from a junior female consultant. Her immediate boss cracked a bawdy joke about her in the office tuck shop. When the committee probed the alleged misconduct, they identified an independent witness. She agreed to give her testimony to the committee: however, she was unsure if she would like to be identified either by the complainant or the accused. The convenor of the committee was confused about the stance to be taken on the witness’s concern.
Which of the following will be the BEST stance to be taken by the convenor?

Direction: Read the following scenario and answer the THREE questions that follow.
In recent years, complaints of sexual harassment at “Fair Consulting” had increased exponentially. Fair Consulting had a gender-neutral, anti-sexual harassment policy and a committee to adjudicate on complaints. During the hearing of complaints, allegations and counter-allegations would fly thick and fast. This made it difficult for the adjudicating committee to conclusively decide on the complaints.
Fair Consulting was mulling over three interventions to reduce sexual harassment cases in the workplace. They are:
1). Educate employees about the company’s anti-sexual harassment policy
2). Profile employees with a propensity to engage in acts of sexual harassment
3). Discipline sexual offenders
Which of the following options will the employees find LEAST ostracizing?