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XAT Practice Questions
Original practice questions for the Xavier Aptitude Test (XLRI Jamshedpur), mixed across 5 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
XAT mixed practice
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Q1.PercentagesThe price of an item changes from ₹950 to ₹1,187.5. What is the percentage change?
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Answer: A — 25% increase
Change = 237.5 on a base of 950: 237.5/950 × 100 = 25% increase. Always divide by the ORIGINAL value.
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Q2.AlgebraSolve: 3x + 5y = 32 and 5x + 2y = 47
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Answer: C — x = 9, y = 1
Elimination/substitution gives x = 9, y = 1. Check: 3(9) + 5(1) = 32 ✓ and 5(9) + 2(1) = 47 ✓.
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Q3.Data InterpretationThe average of 12 numbers is 73. If 79 is added, what is the new average?
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Answer: B — 73.46
Old total = 12 × 73 = 876. New total = 876 + 79 = 955; new average = 955/13 = 73.46.
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Q4.Verbal Reasoning & AnalogiesStatement: “Use our toothpaste for whiter teeth.” Assumption I: People want whiter teeth. II: Other toothpastes do not whiten.
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Answer: B — Only I is implicit
The ad assumes people desire whiter teeth; it does not assume competitors fail.
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Q5.Vocabulary & IdiomsChoose the antonym of VERBOSE.
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Answer: D — Concise
Verbose = using more words than needed; concise = brief.
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Q6.PercentagesTwo successive discounts of 30% and 5% are equivalent to a single discount of:
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Answer: A — 33.5%
Net discount = a + b − ab/100 = 30 + 5 − 30×5/100 = 33.5%.
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Q7.AlgebraFind log 1,000,000 (base 10).
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Answer: C — 6
log_10(1000000) asks “10 to what power gives 1000000?” → 10^6 = 1000000, so the answer is 6.
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Q8.Data InterpretationThe price of an item changes from ₹250 to ₹287.5. What is the percentage change?
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Answer: C — 15% increase
Change = 37.5 on a base of 250: 37.5/250 × 100 = 15% increase. Always divide by the ORIGINAL value.
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Q9.Verbal Reasoning & AnalogiesFind the next number in the series: 21, 26, 31, 36, 41, ?
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Answer: C — 46
Each term increases by 5.
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Q10.Vocabulary & IdiomsChoose the antonym of FRUGAL.
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Answer: B — Extravagant
Frugal = sparing with money; extravagant = spending excessively.
About XAT
Xavier Aptitude Test — conducted by XLRI Jamshedpur. MBA entrance used by XLRI and many other business schools, known for decision-making questions.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
Practise by topic
- Percentages questions — Convert percentages to fractions you know by heart (12.5% = 1/8, 37.5% = 3/8, 16.67% = 1/6) and always divide a change by the ORIGINAL value.
- Algebra questions — Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution.
- Data Interpretation questions — Read the table title, units and years before calculating.
- Verbal Reasoning & Analogies questions — For syllogisms draw Venn diagrams and accept only what MUST be true.
- Vocabulary & Idioms questions — Learn words in synonym/antonym pairs and by roots (bene = good, mal = bad, chron = time).
- XAT mock test — 25 timed questions with negative marking.
XAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |
| Vocabulary & Idioms | English | Question bank |