Select the triad which follows the same pattern as that followed by the two triads given below. Both triads follow the same pattern.
IL - GJ - DF
NQ - LO - IK
Correct Answer :
PS - NQ - KM
Solution :
The correct option is PS - NQ - KM.
To understand the pattern, let's analyze the relationships between the letters in the given triads. Let's first write down the alphabetical positions of all the letters involved in the first given triad: IL - GJ - DF.
For the first term, I and L:
I = 9, L = 12 (Difference: 12 - 9 = 3)
For the second term, G and J:
G = 7, J = 10 (Difference: 10 - 7 = 3)
For the third term, D and F:
D = 4, F = 6 (Difference: 6 - 4 = 2)
Now let's check the transition between the terms in the first triad (IL - GJ - DF):
From the first letter of IL (I = 9) to the first letter of GJ (G = 7): 9 - 2 = 7 (-2)
From the first letter of GJ (G = 7) to the first letter of DF (D = 4): 7 - 3 = 4 (-3)
Let's verify this pattern with the second given triad: NQ - LO - IK.
For the first term, N and Q:
N = 14, Q = 17 (Difference: 17 - 14 = 3)
For the second term, L and O:
L = 12, O = 15 (Difference: 15 - 12 = 3)
For the third term, I and K:
I = 9, K = 11 (Difference: 11 - 9 = 2)
Let's check the transition between the terms in the second triad (NQ - LO - IK):
From the first letter of NQ (N = 14) to the first letter of LO (L = 12): 14 - 2 = 12 (-2)
From the first letter of LO (L = 12) to the first letter of IK (I = 9): 12 - 3 = 9 (-3)
So, the pattern for each triad is:
1. First term has a difference of +3 between its two letters (e.g., X and X + 3).
2. Second term's first letter is 2 positions behind the first term's first letter (-2), and its letters also have a difference of +3.
3. Third term's first letter is 3 positions behind the second term's first letter (-3), and its letters have a difference of +2.
Now let's apply this pattern to the correct option: PS - NQ - KM.
1. First term, PS:
P = 16, S = 19 (Difference: 19 - 16 = 3) (Matches the pattern)
2. Second term, NQ:
First letter N = 14, which is P (16) - 2 = 14 (Matches the transition -2)
N = 14, Q = 17 (Difference: 17 - 14 = 3) (Matches the pattern)
3. Third term, KM:
First letter K = 11, which is N (14) - 3 = 11 (Matches the transition -3)
K = 11, M = 13 (Difference: 13 - 11 = 2) (Matches the pattern)
Thus, the triad PS - NQ - KM perfectly follows the established pattern.
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