Question

If A - B = {1, 3, 7, 8}, B - A = {2, 4, 6} and $A\cap B=\left\{5\right\}$, then the elements of set A and B are ___ and ___ respectively.

• A. {1, 3, 5, 7, 8}, {2, 4, 5, 6}
• B. {2, 4, 5, 6}, {1, 3, 5, 7, 8}
• C. {1, 3, 5, 7}, {2, 4, 5, 6}
• D. {1, 3, 5, 7, 8}, {4, 5, 6}

Answer 1

The correct option is A

{1, 3, 5, 7, 8}, {2, 4, 5, 6}

By observing the Venn diagram we have,
A = {1, 3, 5, 7, 8} and B = {2, 4, 5, 6}.