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MCQ for BITSAT Mathematics Relations and Functions
BITSAT Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Relations and Functions
Relations and Functions MCQ Questions BITSAT Mathematics with Answers
Question: If x is real number, then 
must lie between
- a)
- b)
- c)
–11 and 1
- d)
Answer:
Question: The domain of the function
is
- a) (0, 1)
- b) (0, 1]
- c) [1, ∞)
- d) (1, ∞)
Answer: (0, 1)
Question: Let x and y be two natural numbers such that xy= 12(x + y) and 
Then the total number of pairs (x, y) is
- a) 8
- b) 6
- c) 4
- d) 16
Answer: 8
Question: If f(x) is a function that is odd and even simultaneously, then f(C) – f(B) is equal to
- a) 1
- b) -1
- c) 0
- d) None of these
Answer: 0
Question: The range of the function 
where 
is
- a) (– ∞, 3]
- b) (–∞,∞)
- c) [3, ∞)
- d)
Answer:
Question: The domain of the functions f (x) = log2 log3 log4 x is
- a) [4, ∞ )
- b) (4, ∞)
- c) (– ∞ ,4)
- d) None of these
Answer: (4, ∞)
Question: The range of the function 
is
- a)
- b)
- c)
- d) None of these
Answer:
Question: The domain of the function 
is
- a) ( – ∞, 1)
- b)
- c)
- d) (2, ∞)
Answer:
Question: If f(x) is a function that is odd and even simultaneously, then f(C) – f(B) is equal to
- a) 1
- b) -1
- c) 0
- d) None of these
Answer: 0
Question: The domain of the functions f (x) = log2 log3 log4 x is
- a) [4, ∞ )
- b) (4, ∞)
- c) (– ∞ ,4)
- d) None of these
Answer: (4, ∞)
Question: Let f and g be functions from R to R defined as
Then
- a) (fog) (–3) = 8
- b) (fog) (9) = 683
- c) (gof) (0) = – 8
- d) (gof) (6) = 427
Answer: (fog) (9) = 683
Question: Let 
, then fof (x) = x, provided that :
- a) d = – a
- b) d = a
- c) a = b = 1
- d) a = b = c = d = 1
Answer: d = – a
Question: If ρ = {(x, y) |x2 + y2 = 1; x, y € R}. Then,ρ is
- a) Reflexive
- b) Symmetric
- c) Transitive
- d) Anti-symmetric
Answer: Symmetric
Question: Let f : R →R be a function defined by
where m ≠ n , then
- a) f is one-one onto
- b) f is one-one into
- c) f is many-one onto
- d) f is many-one into
Answer: f is one-one into
Question: The relation ‘less than’ in the set of natural numbers is :
- a) only symmetric
- b) only transitive
- c) only reflexive
- d) equivalence relation
Answer: only transitive
Question: If f is an even function and g is an odd function, then the function fog is
- a) an even function
- b) an odd function
- c) Neither even nor odd
- d) A periodic function
Answer: an even function
Question: If
is given as
- a) 1
- b) x
- c) 1 + x
- d) None of these
Answer: x
Question: If 
the domain of f–1 (x) is
- a) R
- b) R – {– 1}
- c) (– ∞, – 1)
- d) (–1, ∞)
Answer: R – {– 1}
Question: Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions from E to Fis
- a) 14
- b) 16
- c) 12
- d) 8
Answer: 14
Question: If 
then (fof of) (x) is
- a)
- b)
- c)
- d) None of these
Answer:
Question: If the function f : (– ∞,∞) → B defined by f (x) = – x2 + 6x – 8 is bijective, then B =
- a) [1,∞)
- b) (– ∞, 1]
- c) (– ∞, ∞)
- d) None of these
Answer: (– ∞, 1]
Question: x2 = xy is a relation which is
- a) Symmetric
- b) Reflexive
- c) Transitive
- d) None of these
Answer: Reflexive
Question: Let R = {(1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A = {1,2,3,4}. . The relation R is
- a) Reflexive
- b) Transitive
- c) Not symmetric
- d) A function
Answer: Not symmetric
Question: If f : R → R, f (x) = 2 x + 3 then f –1 (x) =
- a)
- b)
- c)
- d)
Answer:
Question: Let P = {(x, y) :| x2 + y2 | = 1, x, y €R}. Then P is
- a) Reflexive
- b) Symmetric
- c) Transitive
- d) Anti-symmetric
Answer: Symmetric
Question: Let 
be a function defined as f (x) = √3sin x - cos x + 2. Then f –1(x) is given by
- a)
- b)
- c)
- d) None of these
Answer:
Question: The relation ‘less than’ in the set of natural numbers is :
- a) only symmetric
- b) only transitive
- c) only reflexive
- d) equivalence relation
Answer: only transitive
Question: If f is an even function and g is an odd function, then the function fog is
- a) an even function
- b) an odd function
- c) neither even nor odd
- d) a periodic function
Answer: an even function
Question: Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions from E to Fis
- a) 14
- b) 16
- c) 12
- d) 8
Answer: 14
Question: x2 = xy is a relation which is
- a) Symmetric
- b) Reflexive
- c) Transitive
- d) None of these
Answer: Reflexive
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MCQs for Relations and Functions Mathematics BITSAT
Students can use these MCQs for Relations and Functions to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for BITSAT Mathematics released by BITSAT. Our expert teachers suggest that you should practice daily and solving these objective questions of Relations and Functions to understand the important concepts and better marks in your school tests.
Relations and Functions NCERT Based Objective Questions
Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for BITSAT. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Relations and Functions, you should also refer to our NCERT solutions for BITSAT Mathematics created by our team.
Online Practice and Revision for Relations and Functions Mathematics
To prepare for your exams you should also take the BITSAT Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.
FAQs
You can get most exhaustive BITSAT Mathematics Relations and Functions MCQs for free on StudiesToday.com. These MCQs for BITSAT Mathematics are updated for the 2026-27 academic session as per BITSAT examination standards.
Yes, our BITSAT Mathematics Relations and Functions MCQs include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the BITSAT paper is now competency-based.
By solving our BITSAT Mathematics Relations and Functions MCQs, BITSAT students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for BITSAT have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused BITSAT exams.
Yes, you can also access online interactive tests for BITSAT Mathematics Relations and Functions MCQs on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.