IPMAT Indore · 2024

IPMAT Indore 2024 — Previous Year Paper (Demo)

The 2024 IPMAT Indore paper, full timed attempt with answer key and explanations.

Questions
15
Duration
90 min
Total marks
60.00
Attempts
9

Difficulty

The 2024 paper was moderately difficult. The Quant section had two tricky questions on number theory, while the Verbal section was straightforward except for a long reading-comprehension passage on macroeconomics.

Cutoffs

GEN: 75 / 60 OBC: 65 / 60 SC: 50 / 60 ST: 40 / 60

Section breakdown

SectionQuestionsDuration
Quantitative Aptitude840 min
Verbal Ability750 min

Practice — all 15 questions

No timer · No sign-in needed · Reveal answers as you go

Quantitative Aptitude

Q1 · Quantitative AptitudeOpen question page ↗

If x² + 3x − 10 = 0, what is the sum of the roots?

  1. A−3
  2. B3
  3. C−10
  4. D10
Reveal answer
Correct answer
A.−3
Reveal explanation

By Vieta's formulas, sum of roots = −b/a = −3/1 = −3.

Q2 · Quantitative AptitudeOpen question page ↗

A train covers 60 km in 30 minutes. What is its speed in m/s?

  1. A30 m/s
  2. B33.33 m/s
  3. C36 m/s
  4. D40 m/s
Reveal answer
Correct answer
B.33.33 m/s
Reveal explanation

Speed = 60 km / 0.5 h = 120 km/h = 120 × 5/18 m/s ≈ 33.33 m/s.

Q3 · Quantitative AptitudeOpen question page ↗

Find the value of √196 − √81.

  1. A3
  2. B5
  3. C7
  4. D23
Reveal answer
Correct answer
B.5
Reveal explanation

√196 = 14, √81 = 9, so 14 − 9 = 5.

Q4 · Quantitative AptitudeOpen question page ↗

A shopkeeper marks goods 20% above cost and offers 10% discount. What is the profit percent?

  1. A8%
  2. B10%
  3. C12%
  4. D15%
Reveal answer
Correct answer
A.8%
Reveal explanation

SP = 1.20 × 0.90 × CP = 1.08 × CP → profit = 8%.

Q5 · Quantitative AptitudeOpen question page ↗

Find the next term in the series: 2, 6, 12, 20, 30, ?

Reveal answer
Correct answer
42
Reveal explanation

Differences are 4, 6, 8, 10, so next difference is 12. 30 + 12 = 42.

Q6 · Quantitative AptitudeOpen question page ↗

If sin θ = 3/5 and θ is acute, find cos θ.

  1. A3/5
  2. B4/5
  3. C5/3
  4. D5/4
Reveal answer
Correct answer
B.4/5
Reveal explanation

cos²θ = 1 − sin²θ = 1 − 9/25 = 16/25, so cos θ = 4/5.

Q7 · Quantitative AptitudeOpen question page ↗

P, Q, R can finish a job alone in 6, 8 and 12 days respectively. How long together?

  1. A2 days 8 hours
  2. B2 days 16 hours
  3. C3 days
  4. D3 days 4 hours
Reveal answer
Correct answer
B.2 days 16 hours
Reveal explanation

Combined rate = 1/6 + 1/8 + 1/12 = (4+3+2)/24 = 9/24 = 3/8. Time = 8/3 days = 2 days 16 hours.

Q8 · Quantitative AptitudeOpen question page ↗

How many 3-digit numbers are divisible by both 4 and 6?

  1. A74
  2. B75
  3. C83
  4. D150
Reveal answer
Correct answer
B.75
Reveal explanation

LCM(4,6) = 12. Smallest 3-digit multiple is 108, largest is 996. Count = (996−108)/12 + 1 = 75.

Verbal Ability

Q9 · Verbal AbilityOpen question page ↗

Choose the synonym of EPHEMERAL:

  1. APermanent
  2. BShort-lived
  3. CImportant
  4. DBeautiful
Reveal answer
Correct answer
B.Short-lived
Reveal explanation

Ephemeral means lasting a very short time.

Q10 · Verbal AbilityOpen question page ↗

Choose the antonym of VERBOSE:

  1. AWordy
  2. BConcise
  3. CLoud
  4. DHonest
Reveal answer
Correct answer
B.Concise
Reveal explanation

Verbose = using more words than needed. Antonym is concise.

Q11 · Verbal AbilityOpen question page ↗

Identify the grammatical error: "Neither of the two answers are correct."

  1. ANeither should be Either
  2. Bare should be is
  3. Ccorrect should be right
  4. DNo error
Reveal answer
Correct answer
B.are should be is
Reveal explanation

"Neither" is singular, so the verb should be "is", not "are".

Q12 · Verbal AbilityOpen question page ↗

What does the idiom "bite the bullet" mean?

  1. ATo face an unpleasant situation bravely
  2. BTo eat quickly
  3. CTo lose a fight
  4. DTo make a hasty decision
Reveal answer
Correct answer
A.To face an unpleasant situation bravely
Reveal explanation

"Bite the bullet" = to endure a painful or unpleasant situation with courage.

Q13 · Verbal AbilityOpen question page ↗

Choose the correctly spelled word:

  1. AAcommodation
  2. BAccomodation
  3. CAccommodation
  4. DAcomodation
Reveal answer
Correct answer
C.Accommodation
Reveal explanation

The correct spelling is "Accommodation" — double c, double m.

Q14 · Verbal AbilityOpen question page ↗

Pick the word closest in meaning to UBIQUITOUS:

  1. ARare
  2. BHidden
  3. COmnipresent
  4. DSacred
Reveal answer
Correct answer
C.Omnipresent
Reveal explanation

Ubiquitous = present everywhere; omnipresent.

Q15 · Verbal AbilityOpen question page ↗

Choose the option that best completes the sentence: "His arguments were so ___ that even the staunchest critics were swayed."

  1. Aspecious
  2. Bcogent
  3. Cvapid
  4. Dtendentious
Reveal answer
Correct answer
B.cogent
Reveal explanation

"Cogent" means clear, logical, convincing — the only option that fits a positive context of swaying critics.

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Take the IPMAT Indore 2024 paper as a full 90-minute timed test. You'll get a per-question report, behaviour buckets, and percentile against everyone who attempted the same paper.

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Frequently asked

Is the IPMAT Indore 2024 paper free?

Yes — practice mode and timed test mode are both free, no signup required (sign in only to save your score).

How many questions does IPMAT Indore 2024 have?

15 questions, to be attempted in 90 minutes.

What is the difference between practice and test mode?

Practice mode lets you reveal answers + explanations as you go, with no timer. Test mode is a full timed attempt — you submit at the end and get a score, percentile, and per-question report.

Where can I see the cutoffs and difficulty analysis?

Above, in the Difficulty and Cutoffs sections (if available for this paper).