If x² + 3x − 10 = 0, what is the sum of the roots?
- A−3
- B3
- C−10
- D10
Reveal answer
Reveal explanation
By Vieta's formulas, sum of roots = −b/a = −3/1 = −3.
The 2024 IPMAT Indore paper, full timed attempt with answer key and explanations.
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.
GEN: 75 / 60 OBC: 65 / 60 SC: 50 / 60 ST: 40 / 60
| Section | Questions | Duration |
|---|---|---|
| Quantitative Aptitude | 8 | 40 min |
| Verbal Ability | 7 | 50 min |
If x² + 3x − 10 = 0, what is the sum of the roots?
By Vieta's formulas, sum of roots = −b/a = −3/1 = −3.
A train covers 60 km in 30 minutes. What is its speed in m/s?
Speed = 60 km / 0.5 h = 120 km/h = 120 × 5/18 m/s ≈ 33.33 m/s.
Find the value of √196 − √81.
√196 = 14, √81 = 9, so 14 − 9 = 5.
A shopkeeper marks goods 20% above cost and offers 10% discount. What is the profit percent?
SP = 1.20 × 0.90 × CP = 1.08 × CP → profit = 8%.
Find the next term in the series: 2, 6, 12, 20, 30, ?
42Differences are 4, 6, 8, 10, so next difference is 12. 30 + 12 = 42.
If sin θ = 3/5 and θ is acute, find cos θ.
cos²θ = 1 − sin²θ = 1 − 9/25 = 16/25, so cos θ = 4/5.
P, Q, R can finish a job alone in 6, 8 and 12 days respectively. How long together?
Combined rate = 1/6 + 1/8 + 1/12 = (4+3+2)/24 = 9/24 = 3/8. Time = 8/3 days = 2 days 16 hours.
How many 3-digit numbers are divisible by both 4 and 6?
LCM(4,6) = 12. Smallest 3-digit multiple is 108, largest is 996. Count = (996−108)/12 + 1 = 75.
Choose the synonym of EPHEMERAL:
Ephemeral means lasting a very short time.
Choose the antonym of VERBOSE:
Verbose = using more words than needed. Antonym is concise.
Identify the grammatical error: "Neither of the two answers are correct."
"Neither" is singular, so the verb should be "is", not "are".
What does the idiom "bite the bullet" mean?
"Bite the bullet" = to endure a painful or unpleasant situation with courage.
Choose the correctly spelled word:
The correct spelling is "Accommodation" — double c, double m.
Pick the word closest in meaning to UBIQUITOUS:
Ubiquitous = present everywhere; omnipresent.
Choose the option that best completes the sentence: "His arguments were so ___ that even the staunchest critics were swayed."
"Cogent" means clear, logical, convincing — the only option that fits a positive context of swaying critics.
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.
Yes — practice mode and timed test mode are both free, no signup required (sign in only to save your score).
15 questions, to be attempted in 90 minutes.
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.
Above, in the Difficulty and Cutoffs sections (if available for this paper).