Explanation:Let’s analyze the given series: QHD, MNV, ITN, EZF, AFX, ?
We have a series of 3-letter clusters, and we need to figure out the pattern that leads to the next cluster.
Step 1: Analyze the first letters in each cluster
The first letters in each cluster are:
– Q, M, I, E, A
Let’s look at the positions of these letters in the alphabet:
– Q = 17th letter
– M = 13th letter
– I = 9th letter
– E = 5th letter
– A = 1st letter
The difference between consecutive positions is:
– ( 17 – 13 = 4 )
– ( 13 – 9 = 4 )
– ( 9 – 5 = 4 )
– ( 5 – 1 = 4 )
So, we can see that the first letters are decreasing by 4 in each step. Therefore, after A (1st letter), we need to go back by 4, and we reach W (23rd letter).
Thus, the first letter of the next cluster is W.
Step 2: Analyze the second letters in each cluster
The second letters in each cluster are:
– H, N, T, Z, F
Let’s look at their positions in the alphabet:
– H = 8th letter
– N = 14th letter
– T = 20th letter
– Z = 26th letter
– F = 6th letter
The difference between consecutive positions is:
– ( 14 – 8 = 6 )
– ( 20 – 14 = 6 )
– ( 26 – 20 = 6 )
– ( 6 – 26 = -20 ) (The alphabet wraps around, so after Z, we go back to A, and 6 – 26 = -20 is equivalent to +6.)
This indicates that the second letter is increasing by 6. After F (6th letter), adding 6 gives us L (12th letter).
Thus, the second letter of the next cluster is L.
Step 3: Analyze the third letters in each cluster
The third letters in each cluster are:
– D, V, N, F, X
Let’s look at their positions in the alphabet:
– D = 4th letter
– V = 22nd letter
– N = 14th letter
– F = 6th letter
– X = 24th letter
The differences between consecutive positions are:
– ( 22 – 4 = 18 )
– ( 14 – 22 = -8 ) (The alphabet wraps around again: 14 + 26 – 22 = 18)
– ( 6 – 14 = -8 )
– ( 24 – 6 = 18 )
The pattern alternates between +18 and -8. So, after X (24th letter), adding 18 results in P (16th letter).
Thus, the third letter of the next cluster is P.
Step 4: Putting it all together
The next cluster is WLP.

Explanation:Let’s analyze the given code patterns:
»1. CONSUME → CEMNOSU
– If we observe, the letters are rearranged in a specific pattern:
– C stays in the first position.
– E moves to the second position.
– M moves to the third position.
– N moves to the fourth position.
– O moves to the fifth position.
– S moves to the sixth position.
– U moves to the seventh position.
»2. COMPEL → CELMOP
– Similarly, the letters are rearranged in the following way:
– C stays in the first position.
– E moves to the second position.
– L moves to the third position.
– M moves to the fourth position.
– O moves to the fifth position.
– P moves to the sixth position.
Now, for ENGLISH, let’s try to apply the same pattern:
– The original order of ENGLISH is: E, N, G, L, I, S, H
– Applying the same rearrangement pattern:
– The first letter E stays in the first position.
– The second letter N moves to the second position.
– The third letter G moves to the third position.
– The fourth letter L moves to the fourth position.
– The fifth letter I moves to the fifth position.
– The sixth letter S moves to the sixth position.
– The seventh letter H moves to the seventh position.
After applying the pattern, the word ENGLISH should be rearranged as EGHILNS.

Explanation:Let’s analyze the given number-clusters and the pattern behind them.
First Cluster:
11, 8, 5, 9 = 43
We will attempt to find the relationship between the numbers on the left-hand side and the result on the right-hand side.
Possible pattern:
– ( 11 × 8 = 88 )
– ( 5 × 9 = 45 )
– ( 88 – 45 = 43 )
This matches the result on the right-hand side.
Second Cluster:
12, 9, 7, 6 = 66
Using the same pattern:
– ( 12 × 9 = 108 )
– ( 7 × 6 = 42 )
– ( 108 – 42 = 66 )
This also matches the result on the right-hand side.
Third Cluster:
14, 13, 9, 10 = ?
We will use the same pattern:
– ( 14 × 13 = 182 )
– ( 9 × 10 = 90 )
– ( 182 – 90 = 92 )