What should come in place of the question mark (?) in the given series?
512, 1000, 1728, 2744, 4096, 5832, ?

The correct option is 8000.

To find the missing number in the given series, let us analyze the relationship between consecutive terms by looking at their cube roots:

$\sqrt[3]{512}=8$
$\sqrt[3]{1000}=10$
$\sqrt[3]{1728}=12$
$\sqrt[3]{2744}=14$
$\sqrt[3]{4096}=16$
$\sqrt[3]{5832}=18$

We can observe that the series consists of the cubes of consecutive even numbers:

$8^3=512$
${10}^3=1000$
${12}^3=1728$
${14}^3=2744$
${16}^3=4096$
${18}^3=5832$

Following this pattern, the next even number after 18 is 20.

Therefore, the missing number in place of the question mark (?) is:

${20}^3=20\times 20\times 20=8000$

Hence, the required number is 8000.