If we observe the pattern starting from 1^st number (5), we will see that 2^nd number (7.5) is twice the 1^st number (5) minus ‘2.5’, i.e. 5 * 2 - 2.5 = 7.5
3^rd number is twice the 2^nd number minus ‘2.5’, i.e. 7.5 * 2 - 2.5 = 12.5
Likewise, 12.5 * 2 - 2.5 = 22.5
Therefore, the missing number i.e. 5^th number will be twice the 4^th number minus ‘2.5’:
2 × 22.5 – 2.5
45 – 2.5
42.5

Hence, the correct option is A.

The series is:
mnopqr/rqponm/mnopqrs/srqponm/mnopqrst
Thus, the pattern 'mnopqr/rqponm/mnopqrs' is repeated.

There are 26 alphabets in English and if we assign numbers to each and every alphabet starting from ‘A’, ‘B’, ‘C etc., it will appear to be:
A=1, B=2, C=3, D=4……. likewise, till Z=26

Hence, the correct option is A.

The relation between the numbers is as follows,
72 – 56 = 16
56 – 42 = 14
42 – 30 = 12
30 – 20 = 10
20 – 12 = 8
Thus, the number which complete the series is 12.

The series will be,
 
Thus, KPU is the required answer.
Hence, option A is the correct answer.

The original series is ILLUMINATION, LLUMINATIO, LUMINATI, ?
We can see that each term in the above series is obtained by removing two letters from the preceding term – one from the beginning and one from the end. So, the missing term is UMINAT.
Hence, D is the required answer.

The letters are related as follows,

Thus the missing term is WX.
Hence, option (A) is the correct response.

25 – 21 = 4 ⇒ 2²
52 – 25 = 27 ⇒ 3³
68 – 52 = 16 ⇒ 4²
193 – 68 = 125 ⇒ 5³
? – 193 = 6²⇒ ? = 193 + 36 = 229
Hence, the correct option is A.