MCQ Binary Operations ISC Class-12 Maths Ch-3 for Semester-1

MCQ Binary Operations ISC Class-12 Ch-3 Maths for Semester-1 . These MCQ  / Objective Type Questions is based on latest reduced syllabus according 2021-22 session on bifurcated pattern. Main motto of MCQ Type Question is cracking the next upcoming exam of council. Visit official website CISCE for detail information about ISC Board Class-12 Physics.

MCQ Binary Operations Chapter-3 for ISC Class-12 Maths of Semester-1

Board	ISC
Class	12th (XII)
Subject	Maths
Chapter-3	Binary Operations
Syllabus	on bifurcated syllabus (after reduction)
bifurcated pattern	Semester-1
Session	2021-22
Topic	MCQ / Objective Type Question

ISC Maths Class-12 of Semester-1 MCQ Binary Operations Chapter-3

Question 1

If a*b = a² + b², then the value of (4*5) * 3 is

(a) (4²+ 5²) + 3²

(b) (4 + 5)²+ 3²

(c) 41²+ 3²

(d) (4 + 5 + 3)²

Solution :- option (c )  41²+ 3²

(a)  14

(b) 31

(c)  10

(d) 8

Solution :- option  (c)  10

Hint :-   4.7 = (4 * 7) + 3
= 7 + 3
= 10

Question 3

(a) commutative and associative without an identity

(b) associative but not commutative without an identity

(c) commutative but not associative with an identity

(d) associative and commutative with an identity

Solution :- option (d) associative and commutative with an identity

Hint:-

Question-4

Solution option  (c)  33

Question-5

Mark the correct alternative in the following question:-

For the binary operation * on Z defined by a * b = a + b + 1, the identity element is

(a) 0

(b) -1

(c) 1

(d) 2

Solution option (b) -1

Question-6

If a binary operation * is defined on the set Z of integers as a * b = 3a − b, then the value of (2 * 3) * 4 is ___________ .

(a) 2

(b) 3

(c)4

(d) 5

Solution :- option (d) 5

Question-7

Q⁺ denote the set of all positive rational numbers. If the binary operation a ⊙ on Q⁺ is defined as a⊙=ab/2 ,then the inverse of 3 is __________

(a)4/3

(b) 2

(c) 1/3

(d)  2/3

Solution :- option (b) 2

Question-9

Q⁺ is the set of all positive rational numbers with the binary operation * defined by a∗b=ab/2 for all a, b ∈ Q⁺. The inverse of an element a ∈ Q⁺ is ______________ .

(a) a

(b) 1/a

(c) 2/a

(d)  4/a

Solution :- option (d)  4/a

Question-10

If the binary operation ⊙ is defined on the set Q⁺ of all positive rational numbers by  Then a⊙b=ab/4. Then ,3⊙(1/5⊙1/2) is equal to __________

(a) 3/160

(b)5/160

(c) 3/10

(d) 3/40

Solution :- option (a) 3/160

Question-11

Let * be a binary operation defined on set Q − {1} by the rule a * b = a + b − ab. Then, the identify element for * is ____________ .

(a) 1

(b) a-1  /a

(c)  a  /a-1

(d) 0

Solution :- option (d) 0

Question-12

Which of the following is true ?.

(a) * defined by a∗b=a+b  /2 is a binary operation on Z .

(b) * defined by a∗b=a+b  /2  is a binary operation on Q .

(c) all binary commutative operations are associative.

(d) subtraction is a binary operation on N

Solution :- option (b) * defined by a∗b=a+b  /2  is a binary operation on Q .

Question-13

The binary operation * defined on N by a * b = a + b + ab for all a, b ∈ N is ________________

(a) commutative only

(b) associative only

(c) commutative and associative both

(d) none of these

Solution :- option (c) commutative and associative both

Question-14

The binary operation * is defined by a * b = a² + b² + ab + 1, then (2 * 3) * 2 is equal to ______________ .

(a) 20

(b) 40

(c) 400

(d) 455

Solution :- option (d) 455

Question-15

(a) commutative but not associative

(b) associative but not commutative

(c) neither commutative nor associative

(d) both commutative and associative

Solution :- option (a) commutative but not associative