>
Exams
>
Mathematics
>
Relations and functions
>
let f g h be a group homomorphism from group g int
Question:
Let f: G→H be a group homomorphism from group G into group H with kernel K. If the order of G, H and K are 50, 25 and 10 respectively then the order of f(G) is
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 12, 2025
2
5
10
25
Show Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct answer is(B): 5
Download Solution in PDF
Was this answer helpful?
1
0
Top CUET PG Mathematics Questions
If x, y, z in the axis of a given 3D Geometrical shape, then the given coordinate point (-4,7,-1) will lie in which octant
CUET (PG) - 2023
Mathematics
Coordinate Geometry
View Solution
See the adjacent figure and find the value of ∠A in the semicircle
CUET (PG) - 2023
Mathematics
Circles
View Solution
The figure (A) is showing which type of function?
CUET (PG) - 2023
Mathematics
Functions
View Solution
Find out the degree of the differential equation
\(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
CUET (PG) - 2023
Mathematics
Differential Equations
View Solution
Ram and Mohan can do a piece of work in 20 days. Mohan alone can do the work in 30 days. In how many days will Ram alone complete the work.
CUET (PG) - 2023
Mathematics
Time and Work
View Solution
View More Questions
Top CUET PG Relations and functions Questions
Let f: R→R such that f(1) =3 and f'(1) = 6. Then
\(\lim\limits_{x\rightarrow0}\left(\frac{f(1+x)}{f(1)}\right)^{1/x}\)
equals
CUET (PG) - 2023
Mathematics
Relations and functions
View Solution
Let f : Z→
\(Z_2\)
, be a homomorphism of groups defined by
\(f(a) = \begin{cases} 0, & \quad \text{if } a \text{ is even}\\ 1, & \quad \text{if } a \text{ is odd} \end{cases}\)
then Kerf is :
CUET (PG) - 2023
Mathematics
Relations and functions
View Solution
Let f (x) be defined on [0, 3] by
\(f(x) = \begin{cases} x,\text{if x is a rational number} \\ 3-x\text{, if x is an irrational number} \end{cases}\)
Then f(x) is continuous in the interval at:
CUET (PG) - 2023
Mathematics
Relations and functions
View Solution
Top CUET PG Questions
Given below are two statements:
Statement I
: For Plato the meaning of the word 'Justice' is basically a conception in the mind only.
Statement II
: For Plato the meaning of the word 'Justice' is fixed, mind-independently
In the light of the above statements, choose the correct answer from the options given below:
CUET (PG) - 2023
Statements and Inferences
View Solution
What is the electron count of OS6CO182-?
CUET (PG) - 2023
coordination compounds
View Solution
XeF
4
hydrolysis gives A + B, HF, and Oxygen. Find A and B
CUET (PG) - 2023
p -Block Elements
View Solution
What is more basic in pyrol and pyridine?
CUET (PG) - 2023
Amines
View Solution
Hydrolysis of Al
2
C
3
, Be
2
?
CUET (PG) - 2023
p -Block Elements
View Solution
View More Questions