GATE 2017 [Set-1]
October 14, 2023GATE 2007
October 14, 2023GATE 2007
| Question 21 |
How many different non-isomorphic Abelian groups of order 4 are there?
| 2 | |
| 3 | |
| 4 | |
| 5 |
Question 21 Explanation:
In this problem first of all we find the exponents of prime nos. that can be taken out from given number.
4 = 22
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
4 = 22
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
Correct Answer: A
Question 21 Explanation:
In this problem first of all we find the exponents of prime nos. that can be taken out from given number.
4 = 22
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
4 = 22
So, prime no. is 2 and power of 2 is 2. So exponent value 2 is considered now.
Now the no. of ways we can divide 2 into sets will be the answer.
So division can be done as,
{1,1}, {0,2}
in two ways. Hence, answer is 2.
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