In a code language, 'MUSCLE' is coded as USMLEC and 'FINGER' is coded as INFERG. How will 'THROAT' be coded in the same language?
- AHTRAOT
- BHTROAT
- CRHTTAO
- DHRTATO
Solution & Step-by-step Explanation
Let's examine the arrangement of letters in the given codes:
For 'MUSCLE' → 'USMLEC':
Divide the 6-letter word into pairs: (M, U), (S, C), (L, E)
In the first pair, letters are swapped: MU→UM
In the second pair, letters are swapped: SC→CS
In the third pair, letters are swapped: LE→EL
This would give 'UMCSEL'. But the output is 'USMLEC'.
Let's look at index mapping instead:
M, 2. U, 3. S, 4. C, 5. L, 6. E
The positions in the coded word 'USMLEC' are:
U (2), S (3), M (1), L (5), E (6), C (4)
Pattern of positions: (2,3,1,5,6,4)
Let's check 'FINGER' → 'INFERG':
F, 2. I, 3. N, 4. G, 5. E, 6. R
Applying position pattern (2,3,1,5,6,4):
2nd letter: I
3rd letter: N
1st letter: F
5th letter: E
6th letter: R
4th letter: G
This matches 'INFERG' perfectly.
Now apply the same pattern (2,3,1,5,6,4) to 'THROAT':
T, 2. H, 3. R, 4. O, 5. A, 6. T
2nd letter: H
3rd letter: R
1st letter: T
5th letter: A
6th letter: T
4th letter: O
Thus, the code is 'HRTATO'.
For 'MUSCLE' → 'USMLEC':
Divide the 6-letter word into pairs: (M, U), (S, C), (L, E)
In the first pair, letters are swapped: MU→UM
In the second pair, letters are swapped: SC→CS
In the third pair, letters are swapped: LE→EL
This would give 'UMCSEL'. But the output is 'USMLEC'.
Let's look at index mapping instead:
M, 2. U, 3. S, 4. C, 5. L, 6. E
The positions in the coded word 'USMLEC' are:
U (2), S (3), M (1), L (5), E (6), C (4)
Pattern of positions: (2,3,1,5,6,4)
Let's check 'FINGER' → 'INFERG':
F, 2. I, 3. N, 4. G, 5. E, 6. R
Applying position pattern (2,3,1,5,6,4):
2nd letter: I
3rd letter: N
1st letter: F
5th letter: E
6th letter: R
4th letter: G
This matches 'INFERG' perfectly.
Now apply the same pattern (2,3,1,5,6,4) to 'THROAT':
T, 2. H, 3. R, 4. O, 5. A, 6. T
2nd letter: H
3rd letter: R
1st letter: T
5th letter: A
6th letter: T
4th letter: O
Thus, the code is 'HRTATO'.