A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
?, YZ, DE, JK
- AVU
- BUV
- CTU
- DTS
Solution & Step-by-step Explanation
Let's analyze the difference between the first letters of consecutive pairs in the series:
Let the missing term be represented as Pair 1.
Pair 2: YZ (First letter = Y (25))
Pair 3: DE (First letter = D (4, or 30 in cyclic order))
Pair 4: JK (First letter = J (10, or 36 in cyclic order))
Let's find the difference pattern between the first letters of the known elements:
From Y to D: 30−25=+5
From D to J: 36−30=+6
Following this increasing gap pattern (+4,+5,+6), the difference between the first letter of Pair 1 and Pair 2 (Y) must be +4:
Position of first letter+4=25⟹Position=21→U
Since all clusters consist of two consecutive alphabets (YZ, DE, JK), the cluster starting with U is UV.
Let the missing term be represented as Pair 1.
Pair 2: YZ (First letter = Y (25))
Pair 3: DE (First letter = D (4, or 30 in cyclic order))
Pair 4: JK (First letter = J (10, or 36 in cyclic order))
Let's find the difference pattern between the first letters of the known elements:
From Y to D: 30−25=+5
From D to J: 36−30=+6
Following this increasing gap pattern (+4,+5,+6), the difference between the first letter of Pair 1 and Pair 2 (Y) must be +4:
Position of first letter+4=25⟹Position=21→U
Since all clusters consist of two consecutive alphabets (YZ, DE, JK), the cluster starting with U is UV.