Miscellaneous Test

Result

Miscellaneous Test - 52

Score
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out of -
Rank
-
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
9

B
5

C
7

D
3

Solution
Question 2
4 / -1

A
2

B
1

C
4

D
3

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

Which one of the following is false

A
(N, +) is a semi-group

B
(N, .) is a monoid

C
(Z, .) is a group

D
The set of all even integers is a group under usual addition is a group

Solution
Question 5
4 / -1

If a * b denote the bigger among a and b and a. b = (a * b) + 3, then 4.7 is equal to

A
4

B
31

C
10

D
8

Solution
Question 6
4 / -1

Which of the following is true

A
The set of all fourth roots of Unity is a multiplication group

B
The set of all cube roots of unity is an additive group

C
(ab)^–1 = a^–1b^–1 for all a, b in any group G

D
If (ab)² = a²b² for all a, b in any group G, then the group G is non-abelian
Question 7
4 / -1

The set of all integers multiples of 5 is a group of

A
The set of all rational numbers under multiplication

B
The set of all integers under multiplication

C
The set of all non-zero rational numbers under multiplication

D
The set of all integers under addition
Question 8
4 / -1

If Q₁ is the set of all rational numbers other than 1 with the binary operation * defined by a * b = a + b – ab for all a, b in Q₁, then the identity in Q w.r.t * is

A
1

B
0

C
–1

D
2

Solution
Question 9
4 / -1

In the group G = {1, 3,7, 9} under multiplication modulo 10, the inverse of 7 is

A
7

B
3

C
9

D
1

Solution
Question 10
4 / -1

A

B

C

D
None of these

Solution