MAT (Stage-2) Mock Test - 15

Second is the special property of the first. Wool is warm and spring is elastic.

The first and third letters of the first term are each moved five steps forward, while the second letter is moved three steps forward to obtain the corresponding letters of the second term.

K + 5 = P
N + 3 = Q
O + 5 = T

The pattern followed in the series is as below.
1³ + 3 = 4
2³ + 3 = 11
3³ + 3 = 30
4³ + 3 = 67
? = 5³ + 3 = 128

The difference between the first and the second terms is 90.
The difference between the second and the third terms is 100.
The difference between the third and the fourth terms is 110.
So, the next term will be 320 + 120 = 440

The relationship is x : (x - 119).
335 - 119 = 216
Thus, 987 - 119 = 868

In this series, we are doing +9 for the first, second and third letters to obtain the corresponding letters of the next term.

H + 9 = Q, Q + 9 = Z, Z + 9 = I
K + 9 = T, T + 9 = C, C + 9 = L
N + 9 = W, W + 9 = F, F + 9 = O

There are 3 series in parallel.
K, I, G, E, C..... (decrease of 2)
M, P, S, V, Y.....(increase of 3)
5, 8, 11, 14, 17.....(increase of 3)

2 + 7 = 9
9 - 3 = 6
6 + 7 = 13
13 - 3 = 10

W - 2 = U, U - 2 = S, S - 2 = Q, Q - 2 = O
144 = 12², 121 = 11², 100 = 10², 81 = 9², 64 = 8²

The series is acba | acba | acba | acba.

The series is babb | babb | babb | babb | ba.

By trying out various options, the series formed using the 4th option is baaabaaabaaa, which is a series of b followed by 3 a's.

As this is the only option which forms a logically repeating series, it is our answer.

The series is abab repeated.