Directions (48-52): What will come in place of question mark (?) in the following questions.

?, 8, 19, 61, 249, 1251

The correct option is 6.

To find the missing number in the given series, let us analyze the pattern connecting consecutive terms from left to right, starting with the known numbers:

$8\times 2+3=16+3=19$

$19\times 3+4=57+4=61$

$61\times 4+5=244+5=249$

$249\times 5+6=1245+6=1251$

We observe that each term is obtained by multiplying the previous term by an increasing integer ($1,2,3,4,5,\dots$) and adding an increasing integer ($2,3,4,5,6,\dots$).

Following this pattern, if the missing first term is denoted by $?$, the step to get the second term (8) must be:

$?\times 1+2=8$

Solving for $?$:

$?+2=8$

$?=8-2=6$

Therefore, the missing number in place of the question mark (?) is 6.