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IPMAT Mock Test
A timed 25-question mock for the Integrated Programme in Management Aptitude Test covering percentages, algebra, english grammar, vocabulary & idioms. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
IPMAT mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
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Q1.PercentagesWhat is 5% of 740?
Answer: B — 37
5% of 740 = 5/100 × 740 = 37.
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Q2.AlgebraFind log₅ 625.
Answer: D — 4
log_5(625) asks “5 to what power gives 625?” → 5^4 = 625, so the answer is 4.
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Q3.English GrammarChoose the correct conditional: If it rains tomorrow, we ___ the match.
Answer: C — will cancel
First conditional (real future possibility): if + present, will + base verb.
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Q4.Vocabulary & IdiomsChoose the antonym of ALLEVIATE.
Answer: D — Aggravate
Alleviate = make less severe; aggravate = make worse.
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Q5.PercentagesThe price of an item changes from ₹650 to ₹910. What is the percentage change?
Answer: A — 40% increase
Change = 260 on a base of 650: 260/650 × 100 = 40% increase. Always divide by the ORIGINAL value.
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Q6.AlgebraSolve: x² + 16x + 63 = 0
Answer: B — -9, -7
Find two roots with sum -16 and product 63: -9 and -7. So x² + 16x + 63 = (x + 9)(x + 7) = 0.
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Q7.English GrammarChoose the correct article: He is ___ honest man.
Answer: B — an
“Honest” begins with a vowel sound (silent h), so “an”.
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Q8.Vocabulary & IdiomsChoose the correctly spelt word.
Answer: D — Occurrence
Occurrence: double c, double r, -ence.
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Q9.PercentagesThe price of an item changes from ₹625 to ₹875. What is the percentage change?
Answer: D — 40% increase
Change = 250 on a base of 625: 250/625 × 100 = 40% increase. Always divide by the ORIGINAL value.
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Q10.AlgebraFind log 100,000 (base 10).
Answer: D — 5
log_10(100000) asks “10 to what power gives 100000?” → 10^5 = 100000, so the answer is 5.
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Q11.English GrammarChoose the correct option: She is senior ___ me by two years.
Answer: B — to
Latin comparatives (senior, junior, superior, inferior) take “to”, not “than”.
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Q12.Vocabulary & IdiomsMeaning of the idiom “once in a blue moon”.
Answer: C — Very rarely
It means very rarely.
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Q13.PercentagesThe price of an item changes from ₹800 to ₹480. What is the percentage change?
Answer: A — 40% decrease
Change = -320 on a base of 800: -320/800 × 100 = 40% decrease. Always divide by the ORIGINAL value.
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Q14.AlgebraFind log₂ 8.
Answer: A — 3
log_2(8) asks “2 to what power gives 8?” → 2^3 = 8, so the answer is 3.
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Q15.English GrammarChoose the correct option: She has been working here ___ 2019.
Answer: C — since
Use “since” with a point in time (2019) and “for” with a duration.
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Q16.Vocabulary & IdiomsOne word for: Fear of heights.
Answer: B — Acrophobia
Acrophobia is an extreme fear of heights.
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Q17.PercentagesWhat is 35% of 420?
Answer: D — 147
35% of 420 = 35/100 × 420 = 147.
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Q18.AlgebraFind the sum of the first 28 terms of the AP 11, 18, 25, …
Answer: C — 2954
Sₙ = n/2 × [2a + (n − 1)d] = 28/2 × [22 + 189] = 2,954.
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Q19.English GrammarChoose the correct tag question: She can swim, ___?
Answer: C — can’t she
A positive statement takes a negative tag with the same auxiliary: “can’t she?”.
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Q20.Vocabulary & IdiomsChoose the synonym of DILIGENT.
Answer: A — Hard-working
Diligent means showing care and effort in work.
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Q21.PercentagesThe price of an item changes from ₹175 to ₹105. What is the percentage change?
Answer: B — 40% decrease
Change = -70 on a base of 175: -70/175 × 100 = 40% decrease. Always divide by the ORIGINAL value.
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Q22.AlgebraFind log₃ 9.
Answer: D — 2
log_3(9) asks “3 to what power gives 9?” → 3^2 = 9, so the answer is 2.
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Q23.English GrammarChoose the correct option: The committee ___ divided in their opinions.
Answer: B — were
When members of a collective noun act individually (divided opinions), a plural verb is used: “were”.
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Q24.Vocabulary & IdiomsChoose the synonym of EPHEMERAL.
Answer: A — Short-lived
Ephemeral means lasting a very short time.
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Q25.PercentagesTwo successive discounts of 10% and 10% are equivalent to a single discount of:
Answer: C — 19%
Net discount = a + b − ab/100 = 10 + 10 − 10×10/100 = 19%.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (many Indian exams deduct ¼ or ⅓ of a mark — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
About IPMAT
Integrated Programme in Management Aptitude Test — conducted by IIM Indore. Entrance for the five-year integrated management programme after Class 12.
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.
IPMAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Algebra | Mathematics | Calculated (new numbers every set) |
| English Grammar | English | Question bank |
| Vocabulary & Idioms | English | Question bank |