Refer to BITSAT Mathematics Relations and Functions MCQs provided below available for download in Pdf. The MCQ Questions for Full Syllabus Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by BITSAT, NCERT and KVS. Relations and Functions Full Syllabus MCQ are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects
MCQ for Full Syllabus Mathematics Relations and Functions
Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Relations and Functions in Full Syllabus.
Relations and Functions MCQ Questions Full Syllabus 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
MCQs for Relations and Functions Mathematics Full Syllabus
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