As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 0.25 × 1 = 5.25
Third term = Second term × 2 + 0.25 × 4 = 11.5
similarly , we can calculate the all next terms .
Second series :-
First term = 3
Second term = First term × 1 + 0.25 × 1 = 3.25
Third term = Second term × 2 + 0.25 × 4 = 7.5

Correct Option: B

As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 0.25 × 1
⇒ Second term = 5 × 1 + 0.25 × 1 = 5.25
Third term = Second term × 2 + 0.25 × 4
⇒ Third term = 5.25 × 2 + 0.25 × 4 = 11.5
similarly , we can find the all others terms .
Second series :-
First term = 3
Second term = First term × 1 + 0.25 × 1
⇒ Second term = 3 × 1 + 0.25 × 1 = 3.25
Third term = Second term × 2 + 0.25 × 4 = 7.5
⇒ Third term = 3.25 × 2 + 0.25 × 4 = 7.5
Fourth term = Third term × 3 + 0.25 × 9
⇒ Fourth term = 7.5 × 3 + 0.25 × 9 = 24.75
So 24.75 should come in place of (c).

From above given series , we can see that
The sequence order of above series is given as-
adbcacbdabcddcbadbcacbda

Correct Option: B

From above given series , we can see that
The sequence order of above series is given as-
adbcacbdabcddcbadbcacbda
Hence , required answer will be cbbaa .

The given series is in the below pattern , we can see that
The series formed is:
a a b a b c a b c d d c b a c b a b a a in which the letters equi–distant from the beginning and end are the same.

Correct Option: A

The given series is in the below pattern , we can see that
The series formed is:
a a b a b c a b c d d c b a c b a b a a in which the letters equi–distant from the beginning and end are the same.
Hence , required answer will be abdca .

The series is babb / bbab / bbba / bbbb.
Thus, in each sequence, ‘a’ moves one step forward and ‘b’ takes its place and finally in the fourth sequence, it is eliminated.

Correct Option: C

The series is babb / bbab / bbba / bbbb.
Thus, in each sequence, ‘a’ moves one step forward and ‘b’ takes its place and finally in the fourth sequence, it is eliminated.

The given series is in the below pattern , we can see that
cabbac / cabbac / cabbac.

Correct Option: B

The given series is in the below pattern , we can see that
cabbac / cabbac / cabbac.
Hence , required answer will be acbcb .