CLASS 11 MATHS - CHAPTER 1: SETS
Mix Questions Worksheet 1
Name: _____________________________ School: _____________________________
Roll Number: _____________________________ Teacher: Amit Parashar
AR
Question 1 (2 marks)
A smartphone's settings allow users to enable 'Low Power Mode' (L) and 'Airplane Mode'
(A). Let L be the set of states where Low Power Mode is ON, and A be the set of states
where Airplane Mode is ON. Describe the phone's state where Airplane Mode is ON, but
H
Low Power Mode is OFF, using set notation.
Question 2
S (2 marks)
RA
Consider the universal set U={ all living things }. Let P={ all plants } and T={ all trees }. Draw
a Venn diagram to represent the relationship between U, P, and T.
Question 3 (2 marks)
PA
A music playlist is a set of songs. Playlist A is {"Song X", "Song Y", "Song Z"}. Playlist B is
{"Song Y", "Song Z", "Song X"}. Does Playlist A equal Playlist B in the context of set theory?
Justify your answer based on the properties of sets.
IT
Question 4 (2 marks)
An online course platform has two main skill tracks: 'Data Science' (D) and 'Web
AM
Development' (W). To get a "Generalist Certificate", a student must complete at least one
course from either track. Represent the set of students eligible for this certificate using set
notation.
Question 5 (2 marks)
An artist draws an infinite number of straight lines on a canvas, all of which must pass
through a single point (the origin). Is the set of all these lines finite or infinite? Justify your
answer conceptually.
Amit Parashar Page 1
Mix Questions Worksheet 1
Name: _____________________________ School: _____________________________
Roll Number: _____________________________ Teacher: Amit Parashar
AR
Question 1 (2 marks)
A smartphone's settings allow users to enable 'Low Power Mode' (L) and 'Airplane Mode'
(A). Let L be the set of states where Low Power Mode is ON, and A be the set of states
where Airplane Mode is ON. Describe the phone's state where Airplane Mode is ON, but
H
Low Power Mode is OFF, using set notation.
Question 2
S (2 marks)
RA
Consider the universal set U={ all living things }. Let P={ all plants } and T={ all trees }. Draw
a Venn diagram to represent the relationship between U, P, and T.
Question 3 (2 marks)
PA
A music playlist is a set of songs. Playlist A is {"Song X", "Song Y", "Song Z"}. Playlist B is
{"Song Y", "Song Z", "Song X"}. Does Playlist A equal Playlist B in the context of set theory?
Justify your answer based on the properties of sets.
IT
Question 4 (2 marks)
An online course platform has two main skill tracks: 'Data Science' (D) and 'Web
AM
Development' (W). To get a "Generalist Certificate", a student must complete at least one
course from either track. Represent the set of students eligible for this certificate using set
notation.
Question 5 (2 marks)
An artist draws an infinite number of straight lines on a canvas, all of which must pass
through a single point (the origin). Is the set of all these lines finite or infinite? Justify your
answer conceptually.
Amit Parashar Page 1
