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IPMAT Indore — free MCQ practice

Choose from 96 questions across 2 subjects and 8 topics. Open any question for its answer and worked solution, or keep learning through bite-sized lessons and reviews with Quill.

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IPMAT Indore subjects

Mathematics (96)Quantitative Aptitude (86)

Explore popular topics

Binomial TheoremSequences and Series GpCartesian Product RelationsClass11 Sets BasicsSets BasicsStraight LinesSurface Areas and VolumesThree Dimensional Geometry

Try a IPMAT Indore question

The set A = {x : x is a natural number, 1 < x < 2} isRead the answer and worked solution →Which of the following sets is INFINITE?Read the answer and worked solution →Writing the set {x : x is an integer and −3 ≤ x < 7} in roster form givesRead the answer and worked solution →The number of distinct elements of the set A formed by the letters of the word 'LOYAL' isRead the answer and worked solution →

Worked practice questions

The set A = {x : x is a natural number, 1 < x < 2} is

  1. A finite set with one element
  2. An infinite set
  3. The empty set
  4. Equal to {1, 2}
Show answer and solution

Correct answer: C. The empty set

There is no natural number strictly between 1 and 2, so A is empty (denoted φ or { }).

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Which of the following sets is INFINITE?

  1. The set of months of a year
  2. {1, 2, 3, …, 99, 100}
  3. The set of positive integers greater than 100
  4. The set of prime numbers less than 99
Show answer and solution

Correct answer: C. The set of positive integers greater than 100

There is no upper bound on the positive integers greater than 100, so it is infinite. The other three each contain a finite, definite count of elements.

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Writing the set {x : x is an integer and −3 ≤ x < 7} in roster form gives

  1. {−2, −1, 0, 1, 2, 3, 4, 5, 6}
  2. {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6, 7, 8}
  3. {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6}
  4. {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6, 7}
Show answer and solution

Correct answer: C. {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6}

The inequality includes −3 (≤) and excludes 7 (strict <), giving the integers −3, −2, −1, 0, 1, 2, 3, 4, 5, 6.

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How to practise

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