Question:

If in a certain code language, ‘MERCURY’ is coded as ‘NGUGZXF’, then how will ‘ENTANGLE’ be coded in the same code language?

Updated On: May 31, 2025
  • FPXFSMSM
  • FPWESMSM
  • FPWESNSN
  • FPWFTNSM
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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:

LetterMERCURY
CodedNGUGZXF

Each letter in 'MERCURY' is shifted alphabetically by a fixed pattern to get the corresponding letters in 'NGUGZXF'. Let's inspect the shifts:

StepOriginalShiftCoded
1MM→N (1 forward)N
2EE→G (2 forward)G
3RR→U (3 forward)U
4CC→G (4 forward)G
5UU→Z (5 forward)Z
6RR→X (6 forward)X
7YY→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':

StepOriginalShiftCoded
1EE→F (1 forward)F
2NN→P (2 forward)P
3TT→W (3 forward)W
4AA→E (4 forward)E
5NN→S (5 forward)S
6GG→M (6 forward)M
7LL→S (7 forward)S
8EE→M (8 forward)M

The coded form of 'ENTANGLE' is 'FPWESMSM', using the same shifting rule.

Thus, the correct answer is: FPWESMSM

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Approach Solution -2

Step 1: Analyze the given coding pattern (MERCURY → NGUGZXF)

PositionLetter (Original)Letter (Coded)Shift Value
1M (13)N (14)+1
2E (5)G (7)+2
3R (18)U (21)+3
4C (3)G (7)+4
5U (21)Z (26)+5
6R (18)X (24)+6
7Y (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'

PositionLetter (Original)Position ValueShift ValueNew PositionCoded Letter
1E5+16F
2N14+216P
3T20+323W
4A1+45E
5N14+519S
6G7+613M
7L12+719S
8E5+813M

The coded word is: FPWESMSM

Step 3: Match with given options

The correct coded form matches with:

Option (2) FPWESMSM

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