Question

ASAP PLS!!!

In the Venn diagram, consider U = {whole numbers 1 – 100}.

Let A represent numbers that are perfect squares, B represent numbers that are perfect cubes, and C represent numbers that are perfect fourths.



Which number(s) satisfy A ∩ C?

a.
16, 81
b.
1, 16, 81
c.
1, 4, 9, 16, 25, 36, 49, 81, 100
d.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Answer 1

b. 1, 16, 81

Explanation:

A is numbers that are perfect squares and C is numbers that are perfect fourths.

This means that A∩C is numbers that are both perfect squares and perfect fourths.

Out of the numbers from 1 to 100, the only ones this applies to is 1 (1² = 1 and 1⁴ = 1), 16 (4² = 16 and 2⁴ = 16) and 81 (9² = 81 and 3⁴ = 81).

Answer 2

The meaning of the inverted U in this item is intersection. This means that the elements of the set A ∩ C should be a perfect square and also a perfect-fourths. The answer to this item is equal to 1, 16, 81. The answer is letter B.