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. Multiple Choice Questions for Relations and Functions 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) = log_{2} log_{3} log_{4} 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) = log_{2} log_{3} log_{4} 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) |x^{2} + y^{2} = 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 bywhere 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) = – x^{2} + 6x – 8 is bijective, then B =

- a) [1,∞)
- b) (– ∞, 1]
- c) (– ∞, ∞)
- d) None of these

**Answer: ****(– ∞, 1]**

#### Question: x^{2} = 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) :| x^{2} + y^{2} | = 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: x^{2} = 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

Expert teachers of studiestoday have referred to NCERT book for Full Syllabus Mathematics to develop the Mathematics Full Syllabus MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Full Syllabus test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Full Syllabus Mathematics. We have also provided lot of MCQ questions for Full Syllabus Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Full Syllabus Mathematics MCQ Test for the same chapter.

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