XAT 2026 Question Paper with Solutions: 64 Questions, Answer Key & Section-wise Analysis

XAT 2026 previous year paper: 64 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

64 questions · 64 marks. Quantitative Aptitude and Data Interpretation (QA & DI): 22 · Verbal Ability and Logical Reasoning (VALR): 16 · General Knowledge (GK): 14 · Decision Making (DM): 12

Free sample questions from XAT 2026 Question Paper

Question 1 · Quantitative Aptitude and Data Interpretation (QA & DI) · 2026 MCQ

In a battle, the commander-in-chief arranges his soldiers in a formation of three concentric circles. The radii of the circles are in an arithmetic progression: the smallest radius is 70m(meters) and the largest is 140m.

If each soldier is to be separated from the adjacent soldiers standing on the same circle by 1m, how many soldiers are required to complete the formation?(Consider π= 22/7.)

A.
660
B.
1320
C.
880
D.
1980
E.
440

Correct Answer:

Step-by-Step Solution

Key idea: This is a circular-arrangement problem with arithmetic progression of radii. The trigger is "concentric circles" + "separated by 1m" + "radii in AP".

Step 1: Determine the radii.

Radii are in AP. Smallest $r_{1} = 70$ m, largest $r_{3} = 140$ m.

There are 3 circles. Let radii be $r_{1}, r_{2}, r_{3}$ .

$r_{3} = r_{1} + 2 d ⟹ 140 = 70 + 2 d ⟹ 2 d = 70 ⟹ d = 35$ .

So $r_{2} = 70 + 35 = 105$ m.

Radii: $70, 105, 140$ .

Step 2: Calculate circumferences.

Formula: $C = 2 π r$ . Use $π = 22/7$ .

$C_{1} = 2 \times \frac{22}{7} \times 70 = 2 \times 22 \times 10 = 440 m$

$C_{2} = 2 \times \frac{22}{7} \times 105 = 2 \times 22 \times 15 = 660 m$

$C_{3} = 2 \times \frac{22}{7} \times 140 = 2 \times 22 \times 20 = 880 m$

Step 3: Calculate number of soldiers on each circle.

"Each soldier is separated from adjacent soldiers by 1m".

On a closed loop of circumference $C$ with spacing $d$ , number of items $= C / d$ .

(Note: Do NOT add 1 for circles, unlike straight lines.)

$N_{1} = 440/1 = 440$

$N_{2} = 660/1 = 660$

$N_{3} = 880/1 = 880$

Step 4: Total soldiers.

$Total = 440 + 660 + 880 = 1980$

Common trap: Adding 1 to each circle's count (fencepost error). On a closed loop, the first and last soldiers meet, so no extra soldier is needed.

Answer: 1980 (Option D).

Question 2 · Quantitative Aptitude and Data Interpretation (QA & DI) · 2026 MCQ

An archer, from the point A, is aiming at a target, placed on the top of a 56 feet tall tree. The base of the tree is at the point C. From the archer’s position, the angle of elevation to the target is 45° from his eye level. The archer, facing the tree, moves backwards on the straight line joining the points A and C, to a new position at the point B. From the point B, the angle of elevation from his eye level to the target becomes 30°.

How far did the archer move from A to B(in feet) if his eye level is at a height of 6 feet from the ground?

A.
$503$
B.
$563$
C.
$50 (3 - 1)$
D.
$50 (3 + 1)$
E.
$\frac{50}{3}$

Correct Answer:

Step-by-Step Solution

Key idea: This is a moving observer problem with an eye-level trap. The angles of elevation are measured from the observer's eye level, not from the ground. We must adjust the effective height of the target.

Step 1: Identify the effective height of the target. The tree is 56 feet tall, and the archer's eye level is 6 feet. The vertical distance from the eye level to the target is $56 - 6 = 50$ feet.

Step 2: Let the initial horizontal distance from the archer at A to the tree base C be $x$ . The angle of elevation is 45°.

$tan (4 5^{\circ}) = \frac{50}{x} ⟹ 1 = \frac{50}{x} ⟹ x = 50$ feet.

Step 3: The archer moves backwards by a distance $d$ to point B. The new horizontal distance is $x + d = 50 + d$ . The new angle of elevation is 30°.

$tan (3 0^{\circ}) = \frac{50}{50 + d} ⟹ \frac{1}{3} = \frac{50}{50 + d}$

Step 4: Solve for $d$ .

$50 + d = 503 ⟹ d = 503 - 50 = 50 (3 - 1)$ feet.

Answer: $50 (3 - 1)$ feet.

Question 3 · Quantitative Aptitude and Data Interpretation (QA & DI) · 2026 MCQ

Two buses travel between Jamshedpur and Kolkata in the opposite directions, on the same road. On that road, the maximum allowed speeds are different(but constant) for the opposite directions. Usually, both buses travel at the respective maximum allowed speeds to their respective destinations: the bus from Jamshedpur to Kolkata takes 4 hours, while the bus from Kolkata to Jamshedpur takes 3 hours.

One day, the two buses start at the same time. However, one hour after starting, the bus from Jamshedpur to Kolkata reduces its speed to half of its maximum allowed speed due to congestion on the road.

If both buses do not stop anywhere in between, how many hours after starting do they meet?

A.
2 hours
B.
23/12 hours
C.
12/5 hours
D.
21/11 hours
E.
10/11 hours

Correct Answer:

Step-by-Step Solution

Key idea: This is a relative speed and meeting point problem with a mid-journey speed change.

Step 1: Let the distance between Jamshedpur and Kolkata be $D$ .

Step 2: The speed of the bus from Jamshedpur to Kolkata (J to K) is $\frac{D}{4}$ . The speed of the bus from Kolkata to Jamshedpur (K to J) is $\frac{D}{3}$ .

Step 3: After 1 hour, the J to K bus has covered $\frac{D}{4}$ , and the K to J bus has covered $\frac{D}{3}$ .

Step 4: The remaining distance between them is $D - \frac{D}{4} - \frac{D}{3} = D - \frac{7 D}{12} = \frac{5 D}{12}$ .

Step 5: After 1 hour, the J to K bus reduces its speed to half, so its new speed is $\frac{1}{2} \times \frac{D}{4} = \frac{D}{8}$ .

Step 6: The K to J bus maintains its speed of $\frac{D}{3}$ . Their relative speed is now $\frac{D}{8} + \frac{D}{3} = \frac{11 D}{24}$ .

Step 7: The time taken to cover the remaining distance is $\frac{Remaining Distance}{Relative Speed} = \frac{5 D /12}{11 D /24} = \frac{5}{12} \times \frac{24}{11} = \frac{10}{11}$ hours.

Step 8: The total time after starting is the initial 1 hour plus the additional $\frac{10}{11}$ hours, which equals $1 + \frac{10}{11} = \frac{21}{11}$ hours.

Answer: 21/11 hours

Question 4 · Verbal Ability and Logical Reasoning (VALR) · 2026 MCQ

Which of the following options BEST explains the underlying message of the cartoon?

A.
The truth is more powerful than manipulation.
B.
It is easier to trust selfish assurances, than altruistic promises.
C.
People prioritize certitude even if their interests are at stake.
D.
People submit to the honest hypocrites.
E.
Leaders should always be transparent with their intentions.

Correct Answer:

Step-by-Step Solution

Key idea: This is an irony-based cartoon interpretation question. The goal is to identify the flawed human tendency exposed by the juxtaposition of a threat and an inappropriate positive reaction.

Step 1: Analyze the visual elements. The cartoon shows a wolf (a predator) being brutally honest about his intention to harm the sheep ("I am going to eat you"). Instead of fleeing, the sheep praise him for his honesty ("He tells it like it is").

Step 2: Identify the satirical target. The irony is that the victims are applauding their predator for the very honesty that dooms them. They value "authenticity" or "bluntness" so much that they ignore the harmful content of the message.

Step 3: Evaluate the options for the best abstract generalization.

Option A is incorrect because the truth here is not portrayed as powerful or helpful; it is a blunt statement of harm.
Option B is incorrect because there is no comparison drawn between selfish assurances and altruistic promises.
Option D is incorrect because the wolf is not a hypocrite; he is being direct. The sheep are not submitting to hypocrisy, but applauding bluntness.
Option E is incorrect because the cartoon is a satirical observation of human psychology, not a prescriptive lesson on how leaders should behave.
Option C perfectly captures the essence: the sheep prioritize clarity and certainty (the wolf's honest intent) even when their vital interests (survival) are at stake.

Answer: C

Question 5 · Verbal Ability and Logical Reasoning (VALR) · 2026 MCQ

Read the following sentences carefully.

She described about the journey.
We are awaiting her reply.
She is superior to us.
She requested for more time.
She is angry with her friend.
She insisted for an apology.

Which of the following options contains only grammatically INCORRECT sentences?

A.
1, 4, 6
B.
2, 3, 5
C.
1, 3, 4
D.
2, 4, 5
E.
1, 2, 6

Correct Answer:

Step-by-Step Solution

Key idea: Identifying redundant prepositions with transitive verbs and fixed preposition errors.

Step 1: Analyze sentence 1. "Described" is a transitive verb and takes a direct object. "Described about" is incorrect. It should be "described the journey".

Step 2: Analyze sentence 2. "Awaiting" is transitive. "Awaiting her reply" is correct.

Step 3: Analyze sentence 3. "Superior" always takes the fixed preposition "to". "Superior to us" is correct.

Step 4: Analyze sentence 4. "Requested" is transitive. "Requested for" is incorrect. It should be "requested more time".

Step 5: Analyze sentence 5. "Angry with" a person is the correct fixed preposition. This is correct.

Step 6: Analyze sentence 6. "Insisted" takes the fixed preposition "on", not "for". "Insisted for" is incorrect.

Conclusion: Sentences 1, 4, and 6 are grammatically incorrect. This matches option A.

Question 6 · Verbal Ability and Logical Reasoning (VALR) · 2026 MCQ

Read the following sentences carefully.

Any viewer of crime dramas might think, though, that there is a better way.
What would really speed things up would be a means of sampling an entire habitat at one go.
But, these, too must first be detected and collected—and they will identify only the animal that dropped them.
Ecologists have thought of this, and it certainly works for things like animal droppings.
Just as DNA traces on an unwashed glass or a carelessly discarded cigarette butt can place a suspect as having been in a particular place, so can DNA shed by a creature as it goes about its business.

Which of the following options BEST arranges the above sentences in a logical sequence?

A.
2,3,4,1,5
B.
1,5,4,3,2
C.
3,4,5,1,2
D.
1,4,5,2,3
E.
4,3,5,2,1

Correct Answer:

Step-by-Step Solution

Key idea: This is a meaningful sequence question that relies on pronoun resolution and thematic progression (analogy to application).

Step 1: Identify the opening sentence. Sentence 1 introduces a hook: a "better way" inspired by crime dramas.

Step 2: Sentence 5 explains the crime drama analogy ("Just as DNA traces on an unwashed glass... can place a suspect... so can DNA shed by a creature"). This directly explains the "better way" hinted at in Sentence 1. Thus, 1-5 is a strong pair.

Step 3: Sentence 4 states, "Ecologists have thought of this, and it certainly works for things like animal droppings." The word "this" refers to the DNA shedding concept from Sentence 5. So, 5-4 is the next link.

Step 4: Sentence 3 begins with "But, these, too must first be detected..." The word "these" refers to the "animal droppings" mentioned in Sentence 4, and it introduces a limitation (they only identify the animal that dropped them). Thus, 4-3 is a mandatory link.

Step 5: Sentence 2 proposes the ultimate solution to the limitation in Sentence 3: "What would really speed things up would be a means of sampling an entire habitat at one go." This provides the logical conclusion to the paragraph.

Answer: B (1, 5, 4, 3, 2)

Question 7 · General Knowledge (GK) · 2026 MCQ

Match the temple architectural terms in Column A with their descriptions in Column B.

A.
1-b, 2-a, 3-d, 4-c
B.
1-d, 2-c, 3-b, 4-a
C.
1-a, 2-b, 3-c, 4-d
D.
1-b, 2-d, 3-a, 4-c
E.
1-c, 2-a, 3-d, 4-b

Correct Answer:

Step-by-Step Solution

Key idea: This is a chronological ordering question, recognisable because it asks to arrange historical figures by their ascension to the throne.

Step 1: Identify the time period of each queen's rule.

Razia Sultana: Ascended the Delhi Sultanate throne in 1236 CE.
Rudrama Devi: Ascended the Kakatiya dynasty throne in 1262 CE.
Rani Durgavati: Ascended the Gond kingdom throne in 1550 CE.
Ahilyabai Holkar: Became the ruler of the Maratha Empire (Malwa) in 1767 CE.
Rani Lakshmi Bai: Ascended the Jhansi throne in 1853 CE.

Step 2: Arrange the dates in ascending order: 1236 CE → 1262 CE → 1550 CE → 1767 CE → 1853 CE.

Step 3: Match this sequence to the given options. The correct sequence is Razia Sultana, Rudrama Devi, Durgavati, Ahilyabai Holkar, Lakshmi Bai.

Answer: B

Question 8 · General Knowledge (GK) · 2026 MCQ

India recently achieved a milestone by placing its heaviest payload ever into orbit using the LVM3-M6 rocket. Which of the following is a satellite, launched as a part of this mission?

A.
Oceansat-3
B.
RISAT-2BR1
C.
GSAT-24
D.
BlueBird Block-2
E.
XAT-2026

Correct Answer:

Step-by-Step Solution

Key idea: This is a current affairs recall question focusing on recent ISRO milestones and payload capacities.

Step 1: Identify the mission mentioned. The question specifies the LVM3-M6 rocket and the "heaviest payload ever into orbit".

Step 2: Recall recent ISRO launches. The LVM3-M6 mission successfully launched the BlueBird Block-2 satellite.

Step 3: Verify the payload weight. BlueBird Block-2 weighed approximately 6,100 kg, making it the heaviest payload ever launched by the LVM3 from Indian soil.

Step 4: Evaluate the options. Oceansat-3, RISAT-2BR1, and GSAT-24 were launched on earlier missions with lower payload weights.

Answer: D

Question 9 · General Knowledge (GK) · 2026 MCQ

Which of the following is NOT true about octopuses?

A.
Their blood emits a radium-like glow under moonlight.
B.
They have three hearts.
C.
They can eject a cloud of ink which creates smoke-screen effect, to escape predators.
D.
They usually have a lifespan of around 1-5 years.
E.
They can regrow their lost arms.

Correct Answer:

Step-by-Step Solution

Key idea: This is a factual verification question about the biological traits of octopuses.

Step 1: Evaluate each option based on known biological facts about octopuses.

Step 2: Octopuses have three hearts (two branchial, one systemic), which is true.

Step 3: They eject ink to escape predators, have a short lifespan of 1-5 years, and can regenerate lost arms. All these are true.

Step 4: Octopus blood is copper-based (hemocyanin), making it blue, but it does not emit a radium-like glow under moonlight. This is a fabricated statement.

Answer: Their blood emits a radium-like glow under moonlight.

Question 10 · Decision Making (DM) · 2026 MCQ

Common Description:

MultiKrack, one of the oldest FMCG companies in Eastern India, was run by the Malhotras, a traditional business family, for generations. The organization believed that key positions should be held only by family members and close friends.

But, as the organization grew in size, the top management decided to bring in fresh thinking and fill key positions from premier management institutions. The need for such a decision was also brought upon by changes in consumer preferences, which the top management felt could be best handled by recruiting premier talent from the younger generation(Gen Z).

MultiKrack drew the best talent, from premier management institutions, by offering highly attractive salaries.

The first batch of Gen Z management trainees joined MultiKrack. Anindita was one of the seven management trainees recruited. She reported to Uday, a senior manager, who directly reported to the top management.

Anindita was passionate about bringing a change in her organization. Thus, she went thoroughly prepared for every meeting. However, she soon realized that her ideas were not taken up for discussions during meetings. She often felt looked down upon by Uday who dismissed her suggestions without even hearing them out. When she discussed her experience with other management trainees from other departments, she came to know that this was a common practice across MultiKrack. They wanted to do something about it; however, they were clueless about the course of action, since their seniors did not seem to be interested in listening to them.

Which of the following actions by the management trainees will be MOST effective in improving the treatment of Gen Z at MultiKrack?

A.
Focus on proving themselves professionally, and be patient until attitudes change in general.
B.
Reach out to the top management and explain how the attitude of the seniors is affecting their morale.
C.
Seek informal meetings with seniors belonging to Gen X and try to explain the Gen Z point of view.
D.
Create an informal support group to deal with the duress of handling the MultiKrack seniors.
E.
Confront their colleagues directly whenever they come across as unfair and rude.

Correct Answer:

Step-by-Step Solution

Key idea: This is a systemic cultural change question. The problem is widespread ("common practice across MultiKrack") and involves a generational disconnect. The goal is to improve treatment effectively without causing organizational disruption.

Step 1: Analyze the scope. The issue is not just one manager (like P1) but a cultural norm among seniors. The trainees are clueless and seniors are uninterested.

Step 2: Evaluate Option A (Patience). "Proving themselves" puts the burden entirely on the victims. If the culture is dismissive, hard work may still be ignored. This does not solve the systemic issue.

Step 3: Evaluate Option B (Top Management Complaint). While top management recruited them, complaining about "attitude" without concrete business impact may be seen as whining. It also creates an "Us vs. Them" dynamic with seniors who hold operational power.

Step 4: Evaluate Option C (Informal Meetings with Gen X). This is the most strategic. Gen X managers often act as bridges between Traditionalists/Boomers and Millennials/Gen Z. They understand corporate hierarchy but are more adaptable. Informal dialogue builds empathy and understanding without formal confrontation. It addresses the root cause: lack of understanding of Gen Z viewpoints.

Step 5: Evaluate Option D (Support Group). This helps cope with stress but does not change the seniors' behavior. It is a palliative, not a cure.

Step 6: Evaluate Option E (Confrontation). Direct confrontation by juniors against seniors in a traditional hierarchy is likely to backfire, leading to further marginalization or retaliation.

Conclusion: Option C is the most effective because it seeks to build bridges and educate seniors through peer-level (or near-peer) influence, which is less threatening and more persuasive than top-down mandates or bottom-up complaints.

Answer: C

Question 11 · Decision Making (DM) · 2026 MCQ

Common Description:

Abhishek, a student of a prestigious business school, gets interested in Payeasy, a fintech firm, after listening to a pre-placement talk by Neha Bhupati, a senior leader at the firm, and an alumna of the same business school.

He joins Payeasy through campus placement. Neha plays a key role in recruiting him, seeing great potential in him.

Abhishek starts working in the digital payments vertical under Mukesh Kumar, who reports directly to Neha.

Mukesh, Abhishek’s direct superior, is impressed by his performance and rates him very high in the first year.

Abhishek understands that if Mukesh consistently rates him as “Excellent Performer” for the second year as well, his chances of getting promoted will improve.(The organization promotes individuals who are consistently rated as “Excellent Performer” for at least two years by their immediate superiors.) Over time, Abhishek realizes that the learning opportunities in his current role have plateaued. Given his longstanding interest in blockchain and cryptocurrency, he starts exploring opportunities in that vertical within the company. This change is not possible without the consent of his immediate boss, Mukesh. When Abhishek brings this up with Mukesh, he acknowledges Abhishek’s curiosity and enthusiasm; however, he emphasizes how Abhishek’s competencies fit him rightly into the current vertical. Mukesh assures Abhishek of more challenging assignments in the future, provided he remains a good team player. Further, he shares his skepticism about the long-term prospects of cryptocurrency. Hence, Mukesh politely declines Abhishek’s request.

Dissatisfied with Mukesh’s response, Abhishek reaches out to Neha for a vertical change. Though she listens to Abhishek, she shares her displeasure with the request. In fact, she brushes his request off, telling him to resign from Payeasy if it does not charm him anymore. Abhishek gets worried as he has a huge educational loan to pay, and such a departure will put him in a fix.

Later that day, in one of the team meetings, Abhishek feels ignored as he is cut twice while he tries to share his project progress. Thereafter, he starts believing that Mukesh is not happy with him. This fear appears to get substantiated when Mukesh assigns an important project to another team member, which Abhishek wants to work on. His fear keeps growing regarding Neha and Mukesh not being happy with him. However, when he receives his annual rating, he finds out that Mukesh has rated him as the “best performer” of the year, based on his previous year’s performance.

Abhishek wants his relationship with Mukesh to be back on track, as it was, before he reached out to Neha.

Which of the following options will BEST enable Abhishek rebuild his relationship with Mukesh?

A.
Abhishek should stay low profile for some time as time heals the past.
B.
Abhishek should double down on his performance to demonstrate his value to the team.
C.
Abhishek should request Mukesh for an open discussion to get rid of any misunderstandings.
D.
Abhishek should request Neha to help him in rebuilding his relationship with Mukesh.
E.
Abhishek should reach out to Mukesh and apologize for his perceived immaturity.

Correct Answer:

Step-by-Step Solution

Key idea: This is a workplace conflict and chain-of-command restoration question, recognizable because the protagonist bypassed their immediate manager and now needs to repair that specific relationship.

Step 1: Identify the core breach. Abhishek bypassed Mukesh and went to Neha, which is a violation of the standard chain of command and can be perceived as insubordination or lack of trust.

Step 2: Evaluate the current state. Mukesh still rated Abhishek as the "best performer", indicating that Mukesh values his work and has not permanently written him off. The friction is likely based on perceived disrespect rather than performance.

Step 3: Assess the options. Staying low profile (A) is passive and leaves the misunderstanding unresolved. Doubling down on performance (B) is good but does not directly address the relational breach. Involving Neha again (D) would worsen the situation by reinforcing the bypass. Apologizing for "perceived immaturity" (E) is overly submissive and may not address the professional nature of the disagreement.

Step 4: Select the best action. Requesting an open discussion (C) is proactive, professional, and directly targets the root cause: clearing up misunderstandings and re-establishing direct, respectful communication with the immediate boss.

Answer: C

Question 12 · Decision Making (DM) · 2026 MCQ

Common Description:

He joins Payeasy through campus placement. Neha plays a key role in recruiting him, seeing great potential in him.

Abhishek starts working in the digital payments vertical under Mukesh Kumar, who reports directly to Neha.

Mukesh, Abhishek’s direct superior, is impressed by his performance and rates him very high in the first year.

After two years at Payeasy, Abhishek applies to a competing firm and is called for an interview. The hiring manager, Amit, is impressed with Abhishek and tells him that he will take the final decision to select Abhishek in a day or two. After the interview, Amit wants to know more about Abhishek since Abhishek will be leading a team of 15 people and his people management skills are very important for the team’s success. He calls Mukesh, Abhishek's superior. Mukesh is Amit's classmate who Amit trusts immensely.

Mukesh informs Amit that though Abhishek is a good talent, he questions his superiors too often. Mukesh further shares that such a behavior makes it difficult for the superiors to manage the team.

Amit needs a good talent, but is confused if he should recruit Abhishek, given Mukesh’s assessment of Abhishek.

Which of the following data will BEST enable Amit to take a decision on Abhishek’s recruitment?

A.
Amit’s organization is very democratic, where people are encouraged to share their critical views without any fear of consequences.
B.
Two years back, Mukesh discouraged Amit from offering a role to one of his subordinates, who later went to a competing firm and is now a star performer there.
C.
Payeasy has been seeing attrition of good talent to Amit’s organisation in the recent past due to the high salaries that Amit’s organization offers.
D.
Mukesh is known to be very possessive of his subordinates.
E.
Abhishek was kind and cooperative throughout the selection process of Amit’s organization.

Correct Answer:

Step-by-Step Solution

Key idea: This is a reference-check bias and cultural-fit evaluation question, recognizable because a hiring manager is confused by a negative reference about a specific trait. Step 1: Identify the hiring manager's dilemma. Amit likes Abhishek but is confused because Mukesh claims Abhishek "questions his superiors too often," which Mukesh frames as a people-management liability. Step 2: Analyze the trait in question. "Questioning superiors" can be viewed as insubordination in a rigid hierarchy, but as "critical thinking" or "constructive challenge" in a collaborative, democratic environment. Step 3: Evaluate the options for resolving the dilemma. Option D (Mukesh is possessive) explains why Mukesh might be biased, but it doesn't tell Amit if Abhishek will actually succeed in Amit's team. Option A states that Amit's organization is democratic and encourages critical views. Step 4: Select the best data. If Option A is true, the exact trait Mukesh criticizes is actually a desired strength in Amit's organization. This directly reframes the perceived weakness into a cultural fit, giving Amit a clear, positive reason to recruit Abhishek. Answer: A

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XAT 2026 Question Paper with Solutions: 64 Questions, Answer Key & Section-wise Analysis

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