Question

If MACHINE is coded as 19-7-9-14-15-20-11, how will you code DANGER?

• A. 11-7-20-16-11-24
• B. 10-7-20-13-11-24
• C. 13-7-20-9-11-25
• D. 10-7-20-9-11-25

Hint:

Look for consistent shifts or mapping patterns in coding-decoding sequences — often +5 or +6 is used.

Answer 1

The Correct Option is B

Let's assign code values to letters using the mapping in "MACHINE": \[ \begin{aligned} \text{M} &\rightarrow 19,\quad \text{A} \rightarrow 7,\quad \text{C} \rightarrow 9,\quad \text{H} \rightarrow 14, \\ \text{I} &\rightarrow 15,\quad \text{N} \rightarrow 20,\quad \text{E} \rightarrow 11 \end{aligned} \] Now encode D-A-N-G-E-R using this same logic:
D = M-3 = 19-3 = 16 → not matching any option, so pattern must be letter position shift. Instead, calculate backward difference: \[ \text{M} = 13 \rightarrow 19 = +6,\quad \text{A} = 1 \rightarrow 7 = +6,\quad \text{C} = 3 \rightarrow 9 = +6,\ \text{etc.} \] Pattern: Each letter is encoded as letter position + 6. Apply to DANGER: \[ \begin{aligned} D\ (4) + 6 &= 10 \\ A\ (1) + 6 &= 7 \\ N\ (14) + 6 &= 20 \\ G\ (7) + 6 &= 13 \\ E\ (5) + 6 &= 11 \\ R\ (18) + 6 &= 24 \end{aligned} \] Code = 10-7-20-13-11-24