series

Question

0, 6, 24, 60, 120, 210, ?
A.  336       
B.  349
C.  312
D.  337
E.  None of these

Answer 1

$0=0 \times 1 \times 2$

$6=1 \times 2 \times 3$

$24=2 \times 3 \times 4$

$60=3 \times 4 \times 5$

$120=4 \times 5 \times 6$

$210=5 \times 6 \times 7$

Similarly, for next Number

 $336=6 \times 7 \times 8$

 

Hence,Option$(A)336$ is the correct choice.

Answer 2

The pattern of the given series is as follows:

• $1^3-1=0$
• $2^3-2=6$
• $3^3-3=24$
• $4^3-4=60$
• $5^3-5=120$
• $6^3-6=210$
• $7^3-7=336$

So option (A) is correct.