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WorksheetsPG TRB UNIT 2
Total questions: 15
Worksheet time: 8mins
If Irreducible representations is 5 , then number of classes is
Less than 5
Greater than 5
Equal to 5
Always zero
A set of elements of a group, which itself forms a group is called a
Finite group
Unit group
Cyclic group
Subgroup
The group of order prime number is
A) cyclic group
B) generate group
A and B both are correct
A and B both are wrong
A only wrong
B only wrong
Which of the following properties is correct about isomorphic group
A) same structure
B) invariant
C) reciprocal
All are correct
A only
B only
C only
Any matrix which commutes with all matrices of an Irreducible representation must be a constant. Thus statement is called
Legendre theorem
Cayley theorem
Lagrange theorem
Schurs theorem
One card is drawn from each of the two decks. The probability of both cards to be queens is
1/13
2/13
1/169
25/169
The probability of a defective bolt is 0.2, assuming binomial distribution, the mean value in a distribution of 400 bolts is
0.00025
4
1/80
80
In which distribution,The mean , mode and median coincide at the origin.
Normal distribution
Binomial distribution
Poissons distribution
Multinomial distribution
Which of the following distribution is continuous?
Binomial
Poisson
Multinomial
Normal
A
B
C
D
A
B
C
D
Find the correct relation between abelian and cyclic group
A
B
C
D
Let the chances of solving a problem given to five students are 1/2,1/3,1/4,1/5, and 1/6. The probability that the problem will be solved is
1/720
719/720
5/6
1/6
The order of full linear group is
1
0
-1
Infinity
When moment coefficient of Kurtosis is equal to 3 , the nature of the curve is
Mesokurtic
Leptokurtic
Platykurtic
Skewed
