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Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
WUE, XXG, YAI, ?
ZDK
ZOK
ZBH
ZAJ
Let’s break this apart and see which letter-cluster fits.
- First, notice the pattern in each letter’s position.
- WUE: W(23), U(21), E(5)
- XXG: X(24), X(24), G(7)
- YAI: Y(25), A(1), I(9)
- Start of each triplet: W, X, Y, ?
- That’s going up by 1 in the alphabet: W?X?Y?Z
- Second letter: U(21), X(24), A(1). Here's where it gets interesting.
- U?X = +3 (forward in the alphabet)
- X?A = +3? No, wait—X(24) to A(1) wraps around. If you look at it as (24+3=27) but since there are 26 letters, 27 loops back to 1: A.
- Pattern: add 3 each time, and loop around after Z (26).
- U(21) + 3 = X(24)
- X(24) + 3 = [27 = 1] A(1)
- A(1) + 3 = D(4)
- Third letter: E(5), G(7), I(9) — These are going up by 2 each time.
- E?G?I (5+2=7, 7+2=9)
- Next should be I+2=K(11)
Now, applying the pattern:
- First letter: Z
- Second letter: D
- Third letter: K
So, ZDK.
Let’s look at the options:
1. ZDK
2. ZOK
3. ZBH
4. ZAJ
Here’s the thing—Option 1 is the match.
- ZDK is the one that fits the systematic letter shifts we’re seeing.
- Options 2, 3, and 4 don’t fit the +3, +2 growth in order.
- ZOK and ZAJ: their second or third letters don’t follow the +3, +2 rule.
- ZBH: second and third letters don’t fit at all.
Nice work sticking to the facts and logic!
By: santosh ProfileResourcesReport error
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