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IPMAT Indore

Q1:

IPMAT Indore 2026

Algebra > Minima & Maxima

Hard

If $x$ is a real number such that $\max(\min(x, 2 - x), x - 4, 2x - 8) = \pi - 3$, then the number of possible values of $x$ is

Answer options
Correct Answer
Option 1
Correct Answer
Explanation →

Q2:

IPMAT Indore 2019

Algebra > Minima & Maxima

Hard

For all real values of $x$, $\dfrac{3x^2 - 6x + 12}{x^2 + 2x + 4}$ lies between $1$ and $k$, and does not take any value above $k$. Then $k$ equals:

Correct Answer
9
Correct Answer
Explanation →

IPMAT Indore Past Year Questions (Topic-Wise):

Algebra

  • Identities
  • Polynomials
  • Functions
  • Modulus
  • Indices
  • Linear Equation
  • Progression & Series
  • Minima & Maxima
  • Inequalities

Geometry

  • Trigonometry
  • Conic Sections
  • Circles
  • Solids
  • Quadrilaterals
  • Straight Lines
  • Triangles
  • Polygons

Verbal Ability

  • Sentence Completion
  • Conversation Analysis
  • Sentence Correction
  • Vocabulary
  • Incorrect Word
  • Paracompletion
  • Parajumbles
  • Reading Comprehension

Arithmetic

  • Profit & Loss
  • Simple & Compound Interest
  • Mean, Median & Mode
  • Ratio, Proportion & Variation
  • Time, Speed & Distance
  • Mixture & Alligation
  • Time & Work

Number System

  • Factorisation
  • Unit Digit
  • Integral Solutions
  • Remainder
  • Divisibility Rules
  • Miscellaneous
  • HCF & LCM

Modern Math

  • Permutation & Combination
  • Matrices & Determinants
  • Probability
  • Set Theory
  • Logarithms
  • Binomial Theorem

Logical Reasoning

  • Tournaments
  • Weights
  • Arrangements

Data Interpretation

  • Bar Graphs
  • Tabular Data
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