Set, Functions and Groups MCQ's 2
MCQ's with answers from chapter 2 Set, Functions and Groups Mathematics book 1 for FSC pre engineering and pre medical for Board of Intermediate and Secondary education. Also For Entry Test Preparation for UET, NUST, PIEAS, GIKI, AIR, FAST, WAH University and other engineering Universities.
Groups
1) The set N of natural numbers is closed with respect to
A) Addition
B) Multiplication
C) Both A & B
D) Subtraction
Answer: C
2) The set Z of integers is closed with respect to
A) Addition
B) Multiplication
C) Subtraction
D) A, B and C are correct
Answer: D
3) The set R – {0} of real numbers is closed with respect to
A) Addition
B) Multiplication
C) Division
D) A,B & C are correct
Answer: D
4) In the set S = {0, 1} the binary operation defined is
A) –
B) +
C) ´
D) ¸
Answer: C
5) The set S = {- 1, 1, - i, i} is a group with respect to the binary operation
A) ¸
B) ´
C) +
D) –
Answer: B
6) The set S = {1, w, w2} is a group with respect to the binary operation
A) ´
B) ¸
C) +
D) –
Answer: A
7) If set is a group with respect to addition then the number of identity elements in S is
A) Unique
B) Two
C) Three
D) None
Answer: A
8) If set S is a group with respect to addition then each element of S has _____ inverse.
A) Unique
B) Two
C) Three
D) None
Answer: A
9) R – {0} is a group w.r.t the binary operation
A) +
B) ´
C) ¸
D) –
Answer: B
10) Q – {0} is a group w.r.t the binary operation
A) +
B) ´
C) ¸
D) –
Answer: B
11) R is a group w.r.t the binary operation.
A) +
B) ´
C) ¸
D) –
Answer: A
12) Q is a group w.r.t the binary operation.
A) +
B) ´
C) ¸
D) –
Answer: A
13) S = {1, - 1} is a group w.r.t the binary operation.
A) +
B) ´
C) -
D) none of these
Answer: B
14) S = {0} is a trivial group under
A) +
B) ´
C) ¸
D) –
Answer: A
15) S = {1} is trivial group under
A) +
B) ´
C) –
D) division
Answer: B
16) A non empty set S which is closed with a binary operation ‘*’ is called group if
A) The binary operation is associative
B) There exists identity element with respect to the binary operation.
C) There exist a unique inverse of each element of S with respect to the binary operation.
D) All A, B & C hold.
Answer: D
17) In a proposition if p→ q then q → p is called
A) inverse of p→ q
B) converse of p→ q
C) contrapasitive p→ q
D) none
Ans: B
18) Truth table containing all false values is called
A) Tautology
B) Selfcontridiction
C) Equivallent
D) None
Ans: B
19) Truth table containing all true values is called
A) Tautology
B) Selfcontridiction
C) Equivallent
D) None
Ans: A
20) In a proposition if p→ q then contrapasitive of this proposition is denoted by
A) q → p
B) ~ q → p
C) ~ q → ~ p
D) None
Ans: C
21) In a proposition if p→ q then inverse of this proposition is denoted by
A) q → p
B) ~ q → p
C) ~ p → ~ q
D) None
Ans : C
22) In a proposition if p→ q then converse of this proposition is denoted by
A) q → p
B) ~ q → p
C) ~ q → ~ p
D) None
Ans: A
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