Study the sequence/pattern of letters or numbers carefully to work out the pattern on which it is based, and answer what the next item in the sequence must be.

For example, the sequence ‘A,C,E,G,?’ has odd numbered letters of alphabet, therefore, the next item must be ‘I’.

0, 6, 24, 60, 120, 210 ?

The correct option is 336.

To find the next term in the given sequence: 0, 6, 24, 60, 120, 210, ?, let us analyze the mathematical pattern behind each term.

Notice how each number in the sequence relates to the cube of its position (n = 1, 2, 3, 4, 5, 6, 7):

For the 1st term (n = 1):

$1^3-1=1-1=0$

For the 2nd term (n = 2):

$2^3-2=8-2=6$

For the 3rd term (n = 3):

$3^3-3=27-3=24$

For the 4th term (n = 4):

$4^3-4=64-4=60$

For the 5th term (n = 5):

$5^3-5=125-5=120$

For the 6th term (n = 6):

$6^3-6=216-6=210$

Following this consistent pattern formula: $T_n=n^3-n$

The 7th term (n = 7) will be:

$7^3-7=343-7=336$

Therefore, the next item in the sequence must be 336.