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Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first
letter-cluster.
KTM : PGN :: ABC : ?
ZWY
ZYW
ZYX
ZXY
Let’s break it down with the pairs:
- First look: KTM ? PGN
- K to P: K is the 11th letter, P is the 16th. That’s a +5 shift.
- T to G: T is 20, G is 7. That’s a +13 shift, but since the alphabet wraps, 20+13=33, minus 26 letters = 7. So, +13.
- M to N: M is 13, N is 14. That’s +1.
- Now, ABC ? ?
- A +5 = F (A=1, 1+5=6, F)
- B +13 = O (B=2, 2+13=15, O)
- C +1 = D (C=3, 3+1=4, D)
But none of the options match “FOD.” So, maybe the pattern is different.
Let’s check letter order backwards (reverse):
- KTM ? PGN is not reversal.
- Let’s check letter symmetry:
- KTM: If we map each letter to its opposite (Z=1, Y=2…A=26)
- K(11) ? P(16)
- T(20) ? G(7)
- M(13) ? N(14)
- It looks like each pair adds up to 27 (K=11, P=16; 11+16=27)
- T=20, G=7; 20+7=27
- M=13, N=14; 13+14=27
That’s the thing! The trick is: Each pair's positions add up to 27.
So, for ABC:
- A: 1 ? 26 (Z: 26, 1+26=27)
- B: 2 ? 25 (Y: 25, 2+25=27)
- C: 3 ? 24 (X: 24, 3+24=27)
So, ABC should map to ZYX.
Now, options:
- 1: ZWY
- 2: ZYW
- 3: ZYX
- 4: ZXY
Clearly, option 3 (ZYX) is correct.
By: santosh ProfileResourcesReport error
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