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IPMAT Indore 2023 Quantitative Ability (MCQ) PYQs

Previous-year IPMAT Indore 2023 Quantitative Ability MCQs on logarithms, matrices, circles, inequalities, counting and probability, each with a worked solution.

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Questions, answer key and solutions.

Questions
28
Duration
40 min
Marks
112

Negative marking

Attempts
100
Access
Free
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Normal practice, or a Simulated test

Both use the same questions. Normal practice is untimed and needs no account: choose an option and the answer and solution appear at once. The Simulated test is the real computer-based format, with one 40-minute clock, a question palette and full screen, and your score, the key and the solutions arrive when you submit.

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How the two modes differ
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Normal

Untimed

Every question on one page, loading as you scroll. Choose an option and see straight away whether it was right.

  • No timer. Nothing to start and nothing to submit. Stop whenever you like.
  • Answered as you choose. Tap an option and it is marked at once, with the correct answer shown.
  • Solutions in place. The explanation, and the video where one has been added, sit under the question.
  • Open to guests. Normal practice needs no sign-in.
Real exam conditions

Simulated

Timed CBT

The computer-based test format: one clock, a question palette, and a score the moment you submit.

  • A clock that does not pause. 40 minutes from the moment you begin, and the paper is submitted for you when it reaches zero.
  • Question palette. Answered, not answered and marked for review, section by section, as the real interface has it.
  • Full screen, proctored. The test takes over the screen; leaving it three times submits the paper.
  • Answers hidden until you submit. The key, the explanations and your score all arrive together at the end.

About this test

IPMAT Indore 2023 Quantitative Ability MCQ PYQ with Worked Solutions

This set of IPMAT Indore 2023 Quantitative Ability MCQ PYQs is for IPM aspirants who have finished the school maths syllabus and now want practice on actual exam questions. The paper spans algebra, logarithms, coordinate geometry, matrices, trigonometry, combinatorics and probability. Aptitude360 gives a worked solution for every question.

Topics covered in IPMAT Indore 2023 QA

  • Unit digits of cubes and the greatest integer function
  • Rational inequalities, polynomial remainders, and quadratic roots and coefficients in geometric progression
  • Circles, tangents to a circle and identifying curves from their equations
  • Matrices and determinants
  • Logarithms and maximum values of trigonometric expressions
  • Rook placements on a chessboard, step-climbing counts and round-robin tournaments
  • Probability of divisibility and repeated coin tosses
  • Sets, average speed and incomplete data tables

Key formulas for IPMAT QA

  • Determinant of a square matrix of order two: \( \begin{vmatrix} a & b \\ c & d \end{vmatrix}=ad-bc \)
  • Change of base: \( \log_{a}b=\dfrac{\log b}{\log a} \)
  • Remainder theorem: remainder of \( P(x)\div(x-a) \) is \( P(a) \)
  • Circle \( x^{2}+y^{2}+2gx+2fy+c=0 \): \( r=\sqrt{g^{2}+f^{2}-c} \)
  • At least one head in n tosses: \( 1-\left(\dfrac{1}{2}\right)^{n} \)
  • Harmonic mean of roots of \( ax^{2}+bx+c=0 \): \( -\dfrac{2c}{b} \)

Revision tips for IPMAT quant

  • Use sign charts with critical points for rational inequalities
  • Complete the square to read a circle's centre and radius
  • Use the complement rule for 'at least one' and 'neither' probability questions
  • Recognise step-climbing counts as a Fibonacci pattern

Who should take this set

Suited to IPMAT Indore aspirants who have revised senior secondary maths and want to test themselves on real previous-year questions before full mocks.

FAQs about IPMAT Indore 2023 Quantitative Ability (MCQ) PYQs

How many questions are in the IPMAT Indore 2023 QA MCQ set on Aptitude360?
The set has 28 multiple-choice questions with a 40-minute timer. Each correct answer earns +4 and each wrong answer costs 1 mark, and every question has a worked solution.
What is the remainder theorem for polynomials?
When a polynomial P(x) is divided by (x minus a), the remainder equals P(a). It is often used to find remainders when dividing by products of linear factors.
How to find the centre and radius of a circle from its general equation?
For x squared plus y squared plus 2gx plus 2fy plus c equal to 0, the centre is (minus g, minus f). The radius is the square root of g squared plus f squared minus c.
In how many ways can rooks be placed on a chessboard so that no two attack each other?
On an n by n board with n rooks, each row and each column must hold exactly one rook. The count is therefore n factorial, so for a standard chessboard it is 8 factorial.

Test structure

How the paper is split, and how long each part runs. A section you have finished cannot be returned to.

SectionQuestionsTime
IPMAT Indore 2023 · QA MCQ2840 min

Marking & rules

Total marks
112 across 28 questions.
Negative marking
A wrong answer costs marks. Leaving a question unanswered costs nothing.
Attempts
100 in total. An attempt is spent the moment you begin one.

What you get when you submit

The analysis is ready the moment you submit the paper.

Score and accuracy

Marks, percentage, right, wrong and skipped, and the time you took.

Section by section

The same figures for each section, so a weak one cannot hide in an average.

The full answer key

Every question with your answer, the right one, the working, and the video where there is one.

Where you stand

Your score against the spread of everyone else who has sat this test.

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