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Question

Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster.
BASIC: GEVKD :: TABLE: YEENF:: COULD : ?

This question was previously asked in
SSC Selection Post 2024 Question Paper (26-Jun-2024) (Shift-4)
The correct answer is
HSXNE

BASIC to GEVKD Relationship

This question asks us to identify a pattern between letter clusters and apply it. We are given two examples: BASIC relates to GEVKD, and TABLE relates to YEENF. We need to find what relates to COULD in the same way.

First, let's analyze the transformation from BASIC to GEVKD. We'll consider the alphabetical positions (A=1, B=2, ..., Z=26).

B (position 2) corresponds to G (position 7). The difference is $7 - 2 = 5$.
A (position 1) corresponds to E (position 5). The difference is $5 - 1 = 4$.
S (position 19) corresponds to V (position 22). The difference is $22 - 19 = 3$.
I (position 9) corresponds to K (position 11). The difference is $11 - 9 = 2$.
C (position 3) corresponds to D (position 4). The difference is $4 - 3 = 1$.

The pattern identified is adding +5, +4, +3, +2, +1 sequentially to the letters of the word from left to right.

TABLE to YEENF Pattern

Let's verify this pattern with the second pair: TABLE to YEENF. Applying the sequence of increments (+5, +4, +3, +2, +1):

  • T (20) + 5 = 25, which is the letter Y.
  • A (1) + 4 = 5, which is the letter E.
  • B (2) + 3 = 5, which is the letter E.
  • L (12) + 2 = 14, which is the letter N.
  • E (5) + 1 = 6, which is the letter F.

The result YEENF matches the given second pair, confirming the pattern.

COULD Pattern Application

Now, we apply the same pattern (+5, +4, +3, +2, +1) to the word COULD to find the corresponding letter cluster.

Letter Transformation for COULD
Original Letter Alphabetical Position Increment Calculation Resulting Position Resulting Letter
C 3 +5 $3 + 5$ 8 H
O 15 +4 $15 + 4$ 19 S
U 21 +3 $21 + 3$ 24 X
L 12 +2 $12 + 2$ 14 N
D 4 +1 $4 + 1$ 5 E

Performing the calculations:

  • For C: The position is 3. Adding 5 gives $3 + 5 = 8$, which corresponds to the letter H.
  • For O: The position is 15. Adding 4 gives $15 + 4 = 19$, which corresponds to the letter S.
  • For U: The position is 21. Adding 3 gives $21 + 3 = 24$, which corresponds to the letter X.
  • For L: The position is 12. Adding 2 gives $12 + 2 = 14$, which corresponds to the letter N.
  • For D: The position is 4. Adding 1 gives $4 + 1 = 5$, which corresponds to the letter E.

The resulting letter cluster is HSXNE.

COULD Result

The letter cluster obtained by applying the +5, +4, +3, +2, +1 pattern to COULD is HSXNE.

This matches option 4.

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