If in a certain code language, ‘MERCURY’ is coded as ‘NGUGZXF’, then how will ‘ENTANGLE’ be coded in the same code language?
- FPXFSMSM
- FPWESMSM
- FPWESNSN
- FPWFTNSM
The Correct Option is B
Approach Solution - 1
To determine how 'ENTANGLE' is coded in the given code language where 'MERCURY' is coded as 'NGUGZXF', we need to identify the pattern or rule used in the coding. Let’s analyze the given example:
| Letter | M | E | R | C | U | R | Y |
|---|---|---|---|---|---|---|---|
| Coded | N | G | U | G | Z | X | F |
Each letter in 'MERCURY' is shifted alphabetically by a fixed pattern to get the corresponding letters in 'NGUGZXF'. Let's inspect the shifts:
| Step | Original | Shift | Coded |
|---|---|---|---|
| 1 | M | M→N (1 forward) | N |
| 2 | E | E→G (2 forward) | G |
| 3 | R | R→U (3 forward) | U |
| 4 | C | C→G (4 forward) | G |
| 5 | U | U→Z (5 forward) | Z |
| 6 | R | R→X (6 forward) | X |
| 7 | Y | Y→F (7 forward, wrapping) | F |
The pattern involves shifting each letter forward by a number increasing by 1 with each subsequent letter. Now, apply this pattern to 'ENTANGLE':
| Step | Original | Shift | Coded |
|---|---|---|---|
| 1 | E | E→F (1 forward) | F |
| 2 | N | N→P (2 forward) | P |
| 3 | T | T→W (3 forward) | W |
| 4 | A | A→E (4 forward) | E |
| 5 | N | N→S (5 forward) | S |
| 6 | G | G→M (6 forward) | M |
| 7 | L | L→S (7 forward) | S |
| 8 | E | E→M (8 forward) | M |
The coded form of 'ENTANGLE' is 'FPWESMSM', using the same shifting rule.
Thus, the correct answer is: FPWESMSM
Approach Solution -2
Step 1: Analyze the given coding pattern (MERCURY → NGUGZXF)
| Position | Letter (Original) | Letter (Coded) | Shift Value |
|---|---|---|---|
| 1 | M (13) | N (14) | +1 |
| 2 | E (5) | G (7) | +2 |
| 3 | R (18) | U (21) | +3 |
| 4 | C (3) | G (7) | +4 |
| 5 | U (21) | Z (26) | +5 |
| 6 | R (18) | X (24) | +6 |
| 7 | Y (25) | F (6) | -19 (or +7 with wrap-around) |
Observing the pattern:
- The shift value increases by +1 for each subsequent letter
- For the last letter (Y → F), it wraps around the alphabet (25 + 7 = 32; 32 - 26 = 6 → F)
Step 2: Apply the same pattern to 'ENTANGLE'
| Position | Letter (Original) | Position Value | Shift Value | New Position | Coded Letter |
|---|---|---|---|---|---|
| 1 | E | 5 | +1 | 6 | F |
| 2 | N | 14 | +2 | 16 | P |
| 3 | T | 20 | +3 | 23 | W |
| 4 | A | 1 | +4 | 5 | E |
| 5 | N | 14 | +5 | 19 | S |
| 6 | G | 7 | +6 | 13 | M |
| 7 | L | 12 | +7 | 19 | S |
| 8 | E | 5 | +8 | 13 | M |
The coded word is: FPWESMSM
Step 3: Match with given options
The correct coded form matches with:
Option (2) FPWESMSM
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