In a code language if JKLM is coded as OSVX, then how DEFG will be coded in the same language ?
IMPR
Letter-coding questions are solved by writing each letter’s position in the alphabet (A = 1, B = 2, …, Z = 26) and finding the shift that turns each letter of the word into the matching letter of its code.
Step 1 — For JKLM → OSVX: \(\text{J}(10)\to \text{O}(15)\) is +5, \(\text{K}(11)\to \text{S}(19)\) is +8, \(\text{L}(12)\to \text{V}(22)\) is +10, and \(\text{M}(13)\to \text{X}(24)\) is +11. The rule is therefore +5, +8, +10, +11 applied position by position.
Step 2 — Apply the same shifts to DEFG: \(\text{D}(4)+5=9\to \text{I}\), \(\text{E}(5)+8=13\to \text{M}\), \(\text{F}(6)+10=16\to \text{P}\), and \(\text{G}(7)+11=18\to \text{R}\). The code is IMPR.
Step 3 — ILNQ corresponds to shifts of +5, +7, +8, +10; JLNP to +6, +7, +8, +9; and KMOR to +7, +8, +9, +11. Each of these breaks the shift pattern established by JKLM → OSVX, so only IMPR is consistent with the code language.
IMPR option is correct.
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