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IPMAT Indore 2023 Quantitative Ability (Short Answer) PYQs

Typed-answer quant problems from the IPMAT Indore 2023 paper on factorial remainders, binomial ratios, logarithms, recursion, integer solutions and word problems.

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Questions, answer key and solutions.

Questions
13
Duration
40 min
Marks
52

No 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 Quant Short Answer PYQ: Typed-Answer Practice

These IPMAT Indore 2023 Quantitative Ability Short Answer PYQs suit aspirants who know the core maths and want to practise exact, typed numerical answers.

Topic-wise questions in IPMAT Indore 2023 Quantitative Ability (Short Answer)

11topics
Permutations & Combinations2 · 17%
Coordinate Geometry1 · 9%
Functions1 · 9%
Logarithms1 · 9%
Percentage1 · 8%
Progressions & Series1 · 8%
Ratio & Proportion1 · 8%
Remainders & Digits1 · 8%
Simple & Compound Interest1 · 8%
Time & Work1 · 8%
Time, Speed & Distance1 · 8%

Based on the questions whose topic is confirmed (92% of this section).

What this tells you: course of action

  • First priority: Permutations & Combinations, about 17% of the questions.
  • Save for the end: 10 one-question topics (83% together). Skim them last rather than building long study blocks around them.
  • Splitting your study time: out of every 10 study sessions on this section, about 2 for the first group and 8 for the leave-for-last group.

Key formulas for IPMAT Short Answer quant

  • Factorials and divisibility: \( n! \equiv 0 \pmod{15} \) for \( n \ge 5 \)
  • Binomial ratio: \( \dfrac{\binom{n}{r}}{\binom{n}{r-1}}=\dfrac{n-r+1}{r} \)
  • Positive solutions of \( a+b+c=k \): \( \binom{k-1}{2} \)
  • Sum of first \( n \) naturals: \( \dfrac{n(n+1)}{2} \)

FAQs about IPMAT Indore 2023 Quantitative Ability (Short Answer) PYQs

What is the remainder when a sum of factorials is divided by 15?
Every factorial from five factorial onwards is divisible by 15, so only the terms up to four factorial matter. Add those, then divide by 15 to get the remainder.
How to find n from the ratio of binomial coefficients?
The ratio of a binomial coefficient to the previous one equals n minus r plus one, divided by r. Set up two such equations from consecutive ratios and solve them together.
How many positive integer solutions does a plus b plus c equal k have?
The count is k minus one choose two, found by the stars and bars method. For a range of totals, add the counts for each value of k.
How to solve recursive function problems for IPMAT?
Compute the first few terms to find a repeating pattern or a simple closed form. Then use that pattern to find the value at the required input.

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 SA1340 min

Marking & rules

Total marks
52 across 13 questions.
No negative marking
A wrong answer scores nothing, and costs nothing either.
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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