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from XAT PYQ-Pattern Mocks · 180 min
These come from our free XAT mock tests. Try each one yourself, then open the answer and explanation.
1. What is the remainder when 7^(7^7) is divided by 100 (i.e., its last two digits)?
Correct answer: 43
Explanation: We need 7^(7^7) mod 100. By Euler's theorem, phi(100)=40, so 7^40 ≡ 1 (mod 100). We need 7^7 mod 40. Compute: 7^1=7, 7^2=49≡9 (mod 40), 7^3=7*9=63≡23 (mod 40), 7^4=7*23=161≡1 (mod 40). So ord_40(7)=4. 7^7=7^(4+3)≡7^3≡23 (mod 40). Thus 7^(7^7) ≡ 7^23 (mod 100). Now 7^4≡2401≡01 (mod 100). So 7^23=7^(4*5+3)=(7^4)^5*7^3≡1^5*343≡43 (mod 100). Last two digits: 43.
2. Rohit Chaudhary is the R&D director at Vega Pharmaceuticals. A clinical trial report shows Drug X has an efficacy rate of 78% and a side-effect incidence of 12%. Drug Y has an efficacy rate of 71% and a side-effect incidence of 4%. The current market standard drug has 65% efficacy and 9% side-effect incidence. The regulatory threshold for approval requires efficacy > 70% AND side-effect incidence < 10%. Which drugs qualify for regulatory submission?
Correct answer: Only Drug Y qualifies, because it meets both regulatory criteria: efficacy > 70% and side effects < 10%.
Explanation: Regulatory criteria: efficacy > 70% AND side-effect incidence < 10% (both must be satisfied). Drug X: efficacy 78% (> 70%, PASS); side effects 12% (> 10%, FAIL). Drug X fails on side effects. Drug Y: efficacy 71% (> 70%, PASS); side effects 4% (< 10%, PASS). Drug Y passes both criteria. The market standard drug is a reference benchmark, not part of the stated regulatory thresholds. Qualifying both drugs against the 65% market standard incorrectly uses that standard as the efficacy benchmark instead of the stated absolute threshold. Qualifying only Drug X is wrong, X fails the side-effect criterion regardless of its efficacy rank. Disqualifying both drugs applies a comparison-to-existing-drug criterion that is not part of the stated regulation. Qualifying only Drug Y correctly applies both stated criteria to both drugs.
3. Which battle in 1757 marked the beginning of British political dominance in India, when Robert Clive defeated Siraj ud-Daulah, Nawab of Bengal?
Correct answer: Battle of Plassey
Explanation: The Battle of Plassey on 23 June 1757 was a decisive engagement where Robert Clive of the British East India Company defeated Siraj ud-Daulah, the Nawab of Bengal, with the help of Mir Jafar's betrayal. This victory gave the Company control over Bengal and is considered the starting point of British colonial rule in India. The Battle of Buxar (1764) further consolidated British power.
4. The diplomat's reputation for __________ was so well established that foreign ministers treated every concession he offered as a gambit concealing a deeper agenda, even when his offers were entirely sincere.
Correct answer: duplicity
Explanation: 'Duplicity' means double-dealing: saying or showing one thing while intending another. It is the most precise fit because the sentence focuses on the gap between the presented offer and the suspected hidden motive, the classic two-faced dynamic. 'Perfidy' (treachery or breach of faith) is about betrayal of trust, not ongoing double-dealing perception. 'Equivocation' is deliberately ambiguous language to avoid commitment, linguistic, not behavioural double-dealing. 'Dissimulation' is hiding one's true feelings or intentions, very close, but 'dissimulation' is narrower (concealment of feelings) whereas 'duplicity' captures the full strategic two-facedness described. Duplicity is the idiomatic word in diplomatic contexts for this precise double-dealing reputation.
5. A courier departs city A toward city B at a constant speed. A second courier departs city B toward city A exactly 1 hour later, traveling 20 km/h faster than the first. They meet 1.5 hours after the second courier departs, at a point 150 km from A. What is the distance between cities A and B?
Correct answer: 270 km
Explanation: The first courier travels for 1 + 1.5 = 2.5 hours before meeting. Distance from A = 150 km, so first courier's speed = 150/2.5 = 60 km/h. Second courier's speed = 60 + 20 = 80 km/h. Second courier covers 1.5 x 80 = 120 km from B. Distance AB = 150 + 120 = 270 km.
6. Preethi Nair is a data analyst at Cloudwave Technologies. While preparing a client dashboard, she accidentally discovers that a colleague's account has been accessing client data outside of working hours and without any assigned client project. She is not sure if this is accidental misconfiguration or intentional data exfiltration. What should Preethi do first?
Correct answer: Immediately report the anomaly with documentation to the information security team or data protection officer without alerting the colleague.
Explanation: Immediately reporting the anomaly to information security is correct. Unauthorized data access is a potential data breach or insider threat, it demands immediate escalation to information security professionals, not peer confrontation. Alerting the colleague could prompt destruction of evidence if the access was malicious. Deleting her own access logs is itself a serious data integrity violation and could be construed as obstruction. A casual mention to the manager treats a potentially critical security event as a routine update, losing crucial response time. Immediate escalation preserves evidence, follows the proper incident-response chain, and protects the organization and the clients whose data may be at risk.
7. Which institution publishes the 'World Development Report' annually, focusing on a specific development theme each year?
Correct answer: World Bank
Explanation: The World Bank publishes the World Development Report (WDR) annually since 1978. Each WDR focuses on a specific aspect of economic development. The UNDP publishes the Human Development Report, while the IMF publishes the World Economic Outlook.
8. The following paragraph has a sentence missing. Choose the option that best fills the blank. Markets, we are told, aggregate information with an efficiency no central planner can match. The signal carried by a price is said to encode the preferences and constraints of millions of actors simultaneously. _________. The market's apparent omniscience dissolves, then, into a cacophony of imperfect signals from agents who are themselves only partially informed.
Correct answer: But a signal that originates in ignorance or in manipulation does not convey truth; it merely propagates distortion at speed.
Explanation: The paragraph praises markets for price-based information aggregation, then pivots to critique. The concluding sentence calls the market's 'omniscience' illusory, a 'cacophony of imperfect signals.' The blank must bridge the praise and this critique. The sentence about a signal originating in ignorance or manipulation does so precisely: it attacks the premise that the signal is truthful if its source is corrupt, directly explaining why the final sentence calls the signals 'imperfect.' The remark about slow bureaucratic hierarchies is a non sequitur about planners. The observation that prices can move for reasons disconnected from supply and demand is a specific factual example that is too narrow. The allocative-versus-informational efficiency distinction is irrelevant to the argumentative pivot. Only the ignorance-and-manipulation sentence explains why price signals fail, grounding the conclusion.
| Section | Qs | Marks | Negative | Time |
|---|---|---|---|---|
| Verbal Ability & Reading Comprehension | 26 | 26 | 0.25 | 180 min |
| Decision Making | 21 | 21 | 0.25 | 180 min |
| Quantitative Aptitude | 28 | 28 | 0.25 | 180 min |
| General Awareness | 20 | 20 | - | 180 min |
| Total | 95 | 95 | 180 min |
One timer for the whole paper.
Pattern as configured for our mock tests. Always confirm against the official notification.
Dates follow the official notification or the published calendar of the conducting body. A date marked Estimated is our expectation from past cycles, not an announcement. Always confirm on the official website.
Names, question counts and durations as they are set in the series. Attempt any of them after a free sign up.
| Test | Type | Questions | Duration |
|---|---|---|---|
| XAT Starter Mock 1 | Full length | 95 | 180 min |
| XAT Starter Mock 2 | Full length | 95 | 180 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| XAT All-India Live Mock 1 | Full length | 95 | 180 min |
| XAT All-India Live Mock 2 | Full length | 95 | 180 min |
| XAT All-India Live Mock 3 | Full length | 95 | 180 min |
| XAT All-India Live Mock 4 | Full length | 95 | 180 min |
| XAT All-India Live Mock 5 | Full length | 95 | 180 min |
| XAT All-India Live Mock 6 | Full length | 95 | 180 min |
| XAT All-India Live Mock 7 | Full length | 95 | 180 min |
| XAT All-India Live Mock 8 | Full length | 95 | 180 min |
| Test | Type | Questions | Duration |
|---|---|---|---|
| XAT PYQ-Pattern Mock 1 | PYQ | 95 | 180 min |
XAT (Xavier Aptitude Test) is a national management entrance exam conducted by XLRI Jamshedpur on behalf of the Xavier Association of Management Institutes (XAMI) for admission to XLRI and more than 160 member and associate B-schools. It is a single 180-minute computer-based test of 95 multiple-choice questions across four sections: Verbal & Logical Ability (26), Decision Making (21), Quantitative Ability & Data Interpretation (28) and General Knowledge (20). Timing is part-locked: Part 1 covers the first three sections in 170 minutes and Part 2 covers General Knowledge in 10 minutes. Each correct answer earns +1 mark and each wrong answer loses 0.25, except in General Knowledge which has no negative marking and does not count toward the overall percentile. Decision Making, a section unique to XAT, tests judgement on business and ethical scenarios.
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XAT XAT has 95 questions for 95 marks in 180 minutes: Verbal Ability & Reading Comprehension (26), Decision Making (21), Quantitative Aptitude (28), General Awareness (20).
Yes. In XAT XAT, every wrong answer deducts 0.25 marks.
English. You can switch the question language inside the test.
XAT 2027 Exam: 3 January 2027. The date comes from the official notification or calendar of the conducting body and updates here when it changes.
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