Which option gives the roster form of Q = {x : x is a distinct letter of the word “mathematics”}?
Answer and explanation
Correct answer: Q = {m, a, t, h, e, i, c, s}
A set records distinct objects, so a repeated letter is written only once. The word “mathematics” contains the letters m, a, t, h, e, m, a, t, i, c, and s. Removing repetitions leaves {m, a, t, h, e, i, c, s}. Option B repeats letters and therefore is not a proper roster form of a set, option C omits letters, and option D lists vowels rather than all distinct letters. Thus A is correct.
Frequently asked questions
What is the correct answer to this question?
Q = {m, a, t, h, e, i, c, s}
Why is this the correct answer?
A set records distinct objects, so a repeated letter is written only once. The word “mathematics” contains the letters m, a, t, h, e, m, a, t, i, c, and s. Removing repetitions leaves {m, a, t, h, e, i, c, s}. Option B repeats letters and therefore is not a proper roster form of a set, option C omits letters, and option D lists vowels rather than all distinct letters. Thus A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
