Question

If set A = {1, 2, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8} Find A ∩ B ∩ C

1. {1, 2, 3, 4, 5, 6, 8}
2. {2}
3. {ф}
4. None of these

Answer 1

Correct Answer - Option 2 : {2}

Given: 

A = {1, 2, 3, 5}

B = {2, 4, 6}

C = {0, 2, 4, 6, 8}

Concept:

A ∩ B ∩ C consist all the number common in A, B and C

Calculation:

A ∩ B ∩ C = {1, 2, 3, 5} ∩ {2, 4, 6} ∩ {0, 2, 4, 6, 8}

There is only one element common in set A, B and C

 ∴ A ∩ B ∩ C is {2}