In a certain code language, ‘TABLE’ is coded as ELEAT and ‘SWING’ is coded as GNLWS. How will ‘FRAME’ be coded in the same language?
Correct Answer :
EMDRF
Solution :
The correct answer is EMDRF.
Let's crack the code by carefully analyzing both given examples.
Step 1: Observe the pattern in 'TABLE' → 'ELEAT'
First, let's reverse 'TABLE':
T - A - B - L - E → reversed: E - L - B - A - T
But the given code is E - L - E - A - T.
Compare reversed word vs coded word at each position:
Position 1: E = E ✓
Position 2: L = L ✓
Position 3: B → E (B is the 2nd letter, E is the 5th letter; difference = +3)
Position 4: A = A ✓
Position 5: T = T ✓
So the pattern seems to be: Reverse the word, then shift the middle letter (position 3) forward by +3 in the alphabet.
Step 2: Verify with 'SWING' → 'GNLWS'
Reverse 'SWING':
S - W - I - N - G → reversed: G - N - I - W - S
But the given code is G - N - L - W - S.
Position 1: G = G ✓
Position 2: N = N ✓
Position 3: I → L (I is the 9th letter, L is the 12th letter; difference = +3) ✓
Position 4: W = W ✓
Position 5: S = S ✓
The rule is confirmed: Reverse the entire word, then replace the middle letter (position 3) with the letter that is 3 places ahead in the alphabet.
Step 3: Apply the rule to 'FRAME'
Original word: F - R - A - M - E
Reverse it: E - M - A - R - F
Shift middle letter (position 3): A → D (A is 1st, D is 4th; +3)
Final coded word: E - M - D - R - F = EMDRF
Therefore, 'FRAME' is coded as EMDRF.
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