GATE 2018 | MATHS | Q-40

128 views

0 votes

Which one of the following statements is true?

(A) Every group of order 12 has a non-trivial proper normal subgroup

(B) Some group of order 12 does not have a non-trivial proper normal subgroup

(C) Every group of order 12 has a subgroup of order 6

(D) Every group of order 12 has an element of order 12

Set Theory & Algebra
set-theory

+ –

rajveer43 asked Jan 11

rajveer43

128 views

See all

0 Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 votes

(A) Every group of order 12 has a non-trivial proper normal subgroup

rajveer43 answered Jan 11

rajveer43

See all

0 Please log in or register to add a comment.

Voting & Accepting an answer helps improve the community

← Previous Next →

← Previous in category Next in category →

Related questions

0 votes

0 answers

rajveer43 asked Jan 10

68 views

GATE 2021 | MATHS | Q-20
Let $ f: \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) \to \mathbb{R} $ be given by $ f(x) = \frac{\pi}{2} + x - \tan^{-1}(x) $. Consider the following statements: $P:$ $ |f(x) - f(y)| < |x - y| $ ... Then the correct option is: (A) both P and Q are TRUE (B) P is TRUE and Q is FALSE (C) P is FALSE and Q is TRUE (D) both P and Q are FALSE

Let $ f: \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) \to \mathbb{R} $ be given by $ f(x) = \frac{\pi}{2} + x - \tan^{-1}(x) $. Consider the following statements: $P:$...

rajveer43

68 views

rajveer43 asked Jan 10

Set Theory & Algebra
functions
set-theory

+ –

1 votes

0 answers

rajveer43 asked Jan 10

74 views

GATE 2019 | maths | set theory
Consider the following statements: I.The set $ \mathbb{R} $ is uncountable. II.The set $ \{ f : f \text{ is a function from } \mathbb{N} \text{ to } \{0, 1\} \} $ is uncountable. III.The set $ \{ p : p \text{ is a prime number} \} $ is uncountable. ... of the above statements are TRUE? (A)] I and IV only (B) II and IV only (C) II and III only (D) I, II, and IV only

Consider the following statements: I.The set $ \mathbb{R} $ is uncountable.II.The set $ \{ f : f \text{ is a function from } \mathbb{N} \text{ to } \{0, 1\} \} $ is uncou...

rajveer43

74 views

rajveer43 asked Jan 10

Set Theory & Algebra
set-theory

+ –

0 votes

1 answer

rajveer43 asked Jan 10

78 views

GATE 2023 | Maths | Sample Ques for CS-IT
Let $G$ be an abelian group and $\Phi: G \rightarrow (\mathbb{Z}, +)$ be a surjective group homomorphism. Let $1 = \Phi(a)$ for some $a \in G$. Consider the following statements: $P$: For every $g \in G$, there exists an $n \in \ ... following statements is/are correct? (A) \(P$ is TRUE (B) $P$ is FALSE (C) $Q$ is TRUE (D) $Q$ is FALSE

Let $G$ be an abelian group and $\Phi: G \rightarrow (\mathbb{Z}, +)$ be a surjective group homomorphism. Let $1 = \Phi(a)$ for some $a \in G$.Consider the follow...

rajveer43

78 views

rajveer43 asked Jan 10

Set Theory & Algebra
set-theory
discrete-mathematics

+ –

4 votes

0 answers

makhdoom ghaya asked Dec 20, 2015

700 views

TIFR-2015-Maths-B-1
Let $X$ be a proper closed subset of $[0, 1]$. Which of the following statements is always true? The set $X$ is countable. There exists $x \in X$ such that $X$ \ $\left \{ x \right \}$ is closed The set $X$ contains an open interval. None of the above.

Let $X$ be a proper closed subset of $[0, 1]$. Which of the following statements is always true?The set $X$ is countable.There exists $x \in X$ such that $X$ \ $\left \{ ...

makhdoom ghaya

700 views

makhdoom ghaya asked Dec 20, 2015

Set Theory & Algebra
tifrmaths2015
set-theory

+ –

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

0 reply

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 reply

Please log in or register to add a comment.

Related questions

0

0