Solution:
First, let's analyze the given coding:
We are told that
GBOQX stands for HAPPY.
This implies that
GBOQX is the coded form of the original word
HAPPY.
Let's find the rule by comparing each letter from the
Coded Word (GBOQX) to its corresponding letter in the
Original Word (HAPPY):
1. For the first letter:
G (from GBOQX) corresponds to
H (from HAPPY)
This transformation is
G + 1 = H (moving one step forward in the alphabet).
2. For the second letter:
B (from GBOQX) corresponds to
A (from HAPPY)
This transformation is
B - 1 = A (moving one step backward in the alphabet).
3. For the third letter:
O (from GBOQX) corresponds to
P (from HAPPY)
This transformation is
O + 1 = P (moving one step forward).
4. For the fourth letter:
Q (from GBOQX) corresponds to
P (from HAPPY)
This transformation is
Q - 1 = P (moving one step backward).
5. For the fifth letter:
X (from GBOQX) corresponds to
Y (from HAPPY)
This transformation is
X + 1 = Y (moving one step forward).
So, the consistent pattern for transforming a
Coded Word to its Original Word is:
+1, -1, +1, -1, +1.
Now, the question asks: "for which word the letters CROSS stand for ?"
This means we need to find the
coded form of the original word
CROSS.
To do this, we need to apply the
inverse rule of what we found (Coded to Original).
If the rule for Coded to Original is (+1, -1, +1, -1, +1), then the rule for
Original Word to Coded Word will be the exact opposite operations for each position.
The inverse rule for
Original Word to Coded Word is:
-1, +1, -1, +1, -1.
Let's apply this inverse rule to the original word
CROSS:
1. For the first letter
C:
C - 1 = B
2. For the second letter
R:
R + 1 = S
3. For the third letter
O:
O - 1 = N
4. For the fourth letter
S:
S + 1 = T
5. For the fifth letter
S:
S - 1 = R
Combining these transformed letters, the coded word for CROSS is
BSNTR.
Comparing this result with the given options:
Option A: BSPTR
Option B:
BSNTR
Option C: BNSTR
Option D: BSNRT
The correct answer is
Option B: BSNTR.
