Sets

Q. Which of the following collections is a set?

1. The collection of states in the Indian Union.
2. The collection of all great prime ministers in India.
3. The collection of all good dishes in India.
4. The collection of all the factors of number 56.

Q.

Which of the following collections is not a set?

1. The vowels in the English alphabet.

2. All natural numbers which divide 42.

3. Names of 10 most renowned actors.

4. Names of rivers in India.

Q. If A = {x : x = 2${}^n$, n ∈ W and n < 4}, B = {x : x = 2 n, n ∈ N and n ≤ 4} and C = {0, 1, 2, 5, 6}, then verify the associative property of intersection of sets.
$\left[5\right]$

Q. If A = { $x:x$ is an even natural number} and B = { $y:y$ is a natural number}, then

1. B is superset of A
2. A is superset of B
3. B is a subset of A

Q.

If A={2, 4, 6, 8}, then 7 ___ A.

1. is the superset of

2. does not belong to

3. is a subset of

4. belongs to

Q. The collection of all natural numbers less than 10, 000 forms a set.

1. False
2. True

Q.

The collection is a set or not a set$?$
The collection of most talented writers of India.

Q. $\left\{1\right\}\in \{1,2,3\}$

1. True
2. False

Q. $54\in \left\{Multipleof6\right\}$

1. True
2. False

Q.

1. several things require consideration
2. several things take considering
3. considering several things
4. NO CHANGE
5. consider several things

Q. Sue: Please help me.

1. Sue requested Sam to help her and Sam replied OK.
2. Sue said to Sam please help me and Sam replied OK.
3. Sue requested Sam to help her to which Sam replied OK.
4. Sue requested Sam to help her to which Sam replied positively.

Q. The vowels in the English alphabet form a set.

1. False
2. True