Start learning →

IPMAT Indore Sets Basics — practice questions

Explore 15 free Sets Basics questions in IPMAT Indore Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Sets Basics with Quill →

Sets Basics questions and exercises with answers

Showing questions 1–15 of 15.

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 →Which symbol is used to denote 'is an element of' in set notation?Read the answer and worked solution →Let A = {1, 2, 3, 4, 5, 6}. Which of the following statements is correct?Read the answer and worked solution →Which of the following pairs of sets is equal?Read the answer and worked solution →Which of these is an EXAMPLE of the null set?Read the answer and worked solution →The set-builder form of the set {3, 6, 9, 12} can be written asRead the answer and worked solution →If A and B are two sets such that every element of A is in B and every element of B is in A, thenRead the answer and worked solution →The number n(S) of distinct elements of the set S formed by the letters of the word 'TRIGONOMETRY' isRead the answer and worked solution →Consider C = {x : x − 5 = 0} and E = {x : x is an integral positive root of x² − 2x − 15 = 0}. ThenRead the answer and worked solution →Let A = {n : n ∈ ℤ and n² ≤ 4} and B = {x : x ∈ ℝ and x² − 3x + 2 = 0}. ThenRead the answer and worked solution →Which of the following statements is INCORRECT?Read the answer and worked solution →Set A is defined as {x : x is an integer, x² ≤ 4}. Which is the correct roster of A?Read 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 { }).

Open this question →

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.

Open this question →

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.

Open this question →

How to practise

  1. Choose a Sets Basics question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

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