Question 1

A coding pattern alternates identity and +1 shift by position. If FATHER is coded as FBTIES (positions 1,3,5 unchanged; 2,4,6 shifted +1), what is the code for SISTER?

Accepted Answer

Introduction / Context: Many coding-decoding questions use position-based rules rather than a single uniform shift. Here, the example FATHER → FBTIES shows that odd positions stay the same while even positions are advanced by +1 letter. Given Data / Assumptions: Mapping demonstration: F(1)→F, A(2)→B, T(3)→T, H(4)→I, E(5)→E, R(6)→S. Rule: odd positions unchanged; even positions shifted forward by +1 (with wrap from Z to A if needed). Task: Apply to SISTER (6 letters). Concept / Approach: Process each letter by its 1-indexed position. Keep 1st, 3rd, 5th as-is; shift 2nd, 4th, 6th by +1. Step-by-Step Solution: 1) S(1) → S2) I(2) → J3) S(3) → S4) T(4) → U5) E(5) → E6) R(6) → SHence, SISTER → SJSUES. Verification / Alternative check: Apply the pattern back to FATHER to confirm the rule matches exactly as shown in the prompt example. Why Other Options Are Wrong: SKSVET / SHSSEQ / TJTUFS: These violate the odd/even position rule at one or more positions, using inconsistent shifts or altering odd-position letters. Common Pitfalls: Applying a uniform shift, using 0-indexed positions, or forgetting wrap-around behavior. Final Answer: SJSUES

Question 2

In a particular substitution, TEACHER is written as ZYXDOYK and RAIL as KXQM. Using the same one-to-one letter mapping, how is CHAIR written?

Accepted Answer

Introduction / Context: This is a monoalphabetic substitution puzzle. Two examples provide enough letter pairs to deduce the mapping required to encode a new word consistently. Given Data / Assumptions: TEACHER → ZYXDOYK gives mappings: T→Z, E→Y, A→X, C→D, H→O, R→K. RAIL → KXQM supplies: R→K (confirms), A→X (confirms), I→Q, L→M. One-to-one mapping; no position-based changes. Concept / Approach: Compile the mapping dictionary from the examples, then encode the target word by direct substitution character by character. Step-by-Step Solution: c → D (from TEACHER)h → O (from TEACHER)a → X (from both examples)i → Q (from RAIL)r → K (from both examples)Therefore, chair → DOXQK. Verification / Alternative check: Cross-check that every letter used in CHAIR has an established unique mapping from the examples, ensuring consistency. Why Other Options Are Wrong: DOQXK / DOKQX / DQOXK: These involve letter-order swaps that contradict the strict per-letter substitution order derived from the mapping. Common Pitfalls: Inferring shifts or pair swaps instead of a fixed substitution; changing the order of letters rather than mapping each in place. Final Answer: DOXQK

Question 3

Symbol–digit–letter code: BEAM → 5%*K and COME → $7K%. Using the same mapping, encode BOMB.

Accepted Answer

Introduction / Context: We are given two coded words that reveal a one-to-one mapping from letters to symbols or digits. The task is to reuse the same mapping to encode a new word. Given Data / Assumptions: BEAM → 5 % * K COME → $ 7 K % Hence mappings: B→5, E→%, A→*, M→K, C→$, O→7. Concept / Approach: Apply the mapping letter by letter to BOMB. Remove spacing to keep a clean, unambiguous code string. Step-by-Step Solution: B → 5O → 7M → KB → 5Therefore, BOMB → 57K5. Verification / Alternative check: Cross-check by reversing: 57K5 decodes back to BOMB using the same dictionary. Why Other Options Are Wrong: 5%K5: Uses E’s symbol % instead of O’s 7. $7K$: Mixes C and O incorrectly and uses C twice. 5$%5: Combines B, C, and E symbols; does not match O and M positions. Common Pitfalls: Confusing O with 0, retaining spaces from examples, or misreading symbol assignments. Final Answer: 57K5

Question 4

Which single letter change converts the word "Vertex" into a word meaning "spiral movement"?

Accepted Answer

Introduction / Context: Vocabulary-based coding questions often ask for a minimal edit that transforms one valid English word into another with a specific meaning. Here, we need the version that means spiral movement. Given Data / Assumptions: Source word: Vertex. Target meaning: spiral movement. Only one letter should be changed; other letters stay in their original order. Concept / Approach: Recall that the English word for spiral movement is "vortex". We compare "vertex" and "vortex" character by character to locate the minimal change. Step-by-Step Solution: 1) v e r t e x2) v o r t e x3) Only the second letter differs: e → o. Therefore, the 2nd letter must change. Verification / Alternative check: No other single-letter change yields a standard English word meaning spiral movement. Why Other Options Are Wrong: 1st / 4th / Last: Changing these positions does not produce "vortex" nor any correct synonym for spiral motion in this pattern. Common Pitfalls: Misremembering spelling ("vortax", "vortix") or attempting multiple changes. Final Answer: 2nd

Question 5

In a fixed transformation: CALANDER → CLANAEDR. Using the same rule, how is CIRCULAR written?

Accepted Answer

Introduction / Context: This puzzle uses a deterministic positional swap pattern. From the example, we can infer which indices are swapped and apply the same to the new word. Given Data / Assumptions: Example: CALANDER → CLANAEDR. Observation: Positions (2,3), (4,5), and (6,7) are swapped; positions 1 and 8 remain fixed. Target word: CIRCULAR (8 letters). Concept / Approach: Maintain indices 1 and 8; swap adjacent pairs (2,3), (4,5), (6,7). This mirrors the example mapping exactly. Step-by-Step Solution: Indices and letters for CIRCULAR: 1 C, 2 I, 3 R, 4 C, 5 U, 6 L, 7 A, 8 R.Keep 1 and 8 unchanged: C _ _ _ _ _ _ R.Swap (2,3): I R → R I.Swap (4,5): C U → U C.Swap (6,7): L A → A L.Result: C R I U C A L R → CRIUCALR. Verification / Alternative check: Reapply the rule to CALANDER to see it reproduces CLANAEDR, confirming correctness. Why Other Options Are Wrong: ICCRLURA / CRIUCLRA / CRIARLCU: These do not preserve the exact pair swap pattern and misplace one or more adjacent pairs. Common Pitfalls: Forgetting which indices are fixed or swapping the wrong adjacent pairs. Final Answer: CRIUCALR

Question 6

Letter-to-digit coding: FLATTER → 7238859 and MOTHER → 468159. Using the same mapping, how is MAMMOTH coded?

Accepted Answer

Introduction / Context: This is a direct substitution from letters to digits. Two examples provide enough mappings to encode a new word without ambiguity. Given Data / Assumptions: From FLATTER: F→7, L→2, A→3, T→8, E→5, R→9. From MOTHER: M→4, O→6, T→8 (confirms), H→1, E→5 (confirms), R→9 (confirms). All instances of a letter map to the same digit. Concept / Approach: Write MAMMOTH letter by letter and substitute using the compiled dictionary. Step-by-Step Solution: M A M M O T H4 3 4 4 6 8 1 → 4344681 Verification / Alternative check: Check consistency against both given examples; no conflicts arise. Why Other Options Are Wrong: They alter one or more digits, implying inconsistent letter mapping. Common Pitfalls: Changing digits for repeated letters or mixing in digits not supported by the dictionary. Final Answer: 4344681

Question 7

Letter-to-digit coding: GRAPE → 27354 and FOUR → 1687. Using the same mapping, how is GROUP coded?

Accepted Answer

Introduction / Context: We again have a direct substitution mapping letters to digits, with two examples sufficient to determine all letters in the target word. Given Data / Assumptions: From GRAPE: G→2, R→7, A→3, P→5, E→4. From FOUR: F→1, O→6, U→8, R→7 (confirms). Target word: GROUP = G R O U P. Concept / Approach: Substitute each letter using the fixed mapping dictionary. Step-by-Step Solution: G→2, R→7, O→6, U→8, P→5 → 27685. Verification / Alternative check: All letters used in GROUP appear in the examples; there is no ambiguity. Why Other Options Are Wrong: Each alternative mis-maps at least one letter (e.g., swaps last two digits or changes O/U values). Common Pitfalls: Reordering digits or forgetting previously established mappings. Final Answer: 27685

Question 8

Using the following code and key, decode the word. Code letters: L X P Z J Y Q M N B Key letters (plaintext): b a e s p r h i g t Coded word: ZBYXMNQB What is the decoded English word?

Accepted Answer

Introduction / Context: This item provides a direct lookup table that maps each uppercase code letter to a specific lowercase plaintext letter. The job is to decode a given code string into a meaningful English word. Given Data / Assumptions: Mappings: L→b, X→a, P→e, Z→s, J→p, Y→r, Q→h, M→i, N→g, B→t. Coded word: Z B Y X M N Q B. Concept / Approach: Replace each code character with its plaintext counterpart using the dictionary, preserving order. Step-by-Step Solution: Z→s, B→t, Y→r, X→a, M→i, N→g, Q→h, B→tConcatenate: s t r a i g h t → straight. Verification / Alternative check: The decoded string forms a valid English word that fits common vocabulary, confirming the correctness of the mapping. Why Other Options Are Wrong: stuggle and strenght: Misspellings that do not match the decoded sequence. height: Would require different mappings for several letters. Common Pitfalls: Reversing the mapping direction or confusing visually similar letters. Final Answer: straight

Question 9

Alphabet values with A=1. If ACT = 24 (A=1, C=3, T=20 ⇒ 1+3+20), then what is FAT?

Accepted Answer

Introduction / Context: This question uses the standard A1Z26 scheme where A=1, B=2, …, Z=26. A word’s value is the sum of its letter values. Given Data / Assumptions: ACT = 1 + 3 + 20 = 24 (as given). We need FAT. Concept / Approach: Map F, A, and T to their numeric positions, then add them. Step-by-Step Solution: F = 6A = 1T = 20Sum = 6 + 1 + 20 = 27. Verification / Alternative check: Cross-check with the provided example methodology (A1Z26), ensuring consistent mapping. Why Other Options Are Wrong: All other values are off by 1–3, typical of arithmetic slips. Common Pitfalls: Using zero-based indexing or misreading T as 19 instead of 20. Final Answer: 27

Question 10

Digits 0–9 are represented by letters a–j (0→a, 1→b, 2→c, 3→d, 4→e, 5→f, 6→g, 7→h, 8→i, 9→j). Evaluate dc × f − (bf − d) × d and express the final number back in letters.

Accepted Answer

Introduction / Context: This item mixes symbolic digit naming with arithmetic. Each letter represents a digit via a fixed mapping. We must first translate letters to numbers, compute the result using standard arithmetic, then translate the final number back into letters. Given Data / Assumptions: Mapping: a=0, b=1, c=2, d=3, e=4, f=5, g=6, h=7, i=8, j=9. Expression: dc × f − (bf − d) × d. Concatenations like dc and bf denote multi-digit numbers: dc = 32 and bf = 15. Concept / Approach: Translate, compute with ordinary arithmetic (respecting precedence with parentheses), then re-encode each digit of the final number using the same mapping. Step-by-Step Solution: 1) dc = 32, f = 5, bf = 15, d = 3.2) Compute 32 × 5 = 160.3) Compute (15 − 3) × 3 = 12 × 3 = 36.4) Final: 160 − 36 = 124.5) Re-encode 1→b, 2→c, 4→e → "bce". Verification / Alternative check: Reverse-encoding "bce" → 1,2,4 to confirm the numeric result 124. Why Other Options Are Wrong: abc (012), bcc (122), bcf (125): Do not match the computed value 124. Common Pitfalls: Treating dc or bf as products instead of concatenations, or forgetting the parentheses. Final Answer: bce

Question 11

Small-to-capital letter coding is given as pairs: s→R, u→A, m→P, l→M, a→S, d→O. From the code letters "M A P S R O", decode the original small letters (in order).

Accepted Answer

Introduction / Context: The prompt provides explicit one-to-one mappings from certain lowercase letters to uppercase code letters. We must invert the mapping to decode a sequence of capitals back to lowercase in the given order. Given Data / Assumptions: Pairs: s→R, u→A, m→P, l→M, a→S, d→O. Decode sequence: M A P S R O (capitals), left to right. Concept / Approach: Build the reverse dictionary: M→l, A→u, P→m, S→a, R→s, O→d. Then decode each letter in order, concatenating the results into a single lowercase string. Step-by-Step Solution: M→lA→uP→mS→aR→sO→dConcatenate: l u m a s d → "lumasd". Verification / Alternative check: Re-encode "lumasd" using the original pairs to get back "MAPSRO". Why Other Options Are Wrong: lumdas, lumsda, lumsad: These contain letter order swaps inconsistent with decoding left-to-right. Common Pitfalls: Confusing the mapping direction or treating spaces as separators that should be preserved in the answer string. Final Answer: lumasd

Question 12

Unscramble the jumbled letters to get a meaningful English word. Then indicate the correct order of letters (by their positions in the jumbled string) that forms the word.  Jumbled letters (positions 1–8): Y(1) M(2) L(3) O(4) S(5) B(6) C(7) I(8) Tas…

Accepted Answer

Introduction / Context: This problem is a classic anagram-with-index-order task. We are given a jumbled 8-letter string and asked to form a meaningful English word. Instead of outputting the word itself, the question wants the sequence of positional indices (from the jumbled string) that yields the correct word when read in that order. Given Data / Assumptions: Jumbled letters: Y M L O S B C I. Indices: Y(1), M(2), L(3), O(4), S(5), B(6), C(7), I(8). Exactly one common English word is possible using all eight letters. Concept / Approach: We look for recognizable high-frequency chunks. Here, the letters strongly suggest the word “SYMBOLIC” because we see S, Y, M, B, O, L, I, C exactly once each. Next, we map each letter of SYMBOLIC back to its index in the jumbled string to produce the requested numeric sequence. Step-by-Step Solution: Target word: S Y M B O L I CMap to indices in Y M L O S B C I:S → 5, Y → 1, M → 2, B → 6, O → 4, L → 3, I → 8, C → 7Therefore the index sequence is 5 1 2 6 4 3 8 7. Verification / Alternative check: Read the jumbled string in the found order 5-1-2-6-4-3-8-7 → S Y M B O L I C, which is a valid dictionary word meaning “relating to symbols”. Why Other Options Are Wrong: 47685321, 21645387, 56241387: Each produces a non-word or repeats/omits positions improperly when applied to the jumbled letters. Common Pitfalls: Trying to anagram by brute force without spotting the clear word; or mapping letters to wrong indices (especially swapping L and I). Final Answer: 51264387

Question 13

Unscramble the sequence below into a meaningful word. You are given the letter-to-position mapping (1–10). Report the correct numerical sequence (positions) that spells the word.  Mapping (positions → letters): 1→E, 2→S, 3→R, 4→T, 5→A, 6→R, 7→U, 8→N…

Accepted Answer

Introduction / Context: We are given a list of ten letters tied to positions 1–10. The task is to form a familiar English word by choosing an order of positions. This is an index-order anagram problem, common in coding-decoding sets. Given Data / Assumptions: Position→Letter: 1 E, 2 S, 3 R, 4 T, 5 A, 6 R, 7 U, 8 N, 9 A, 10 T. We must output a 10-number sequence that spells the intended word. Concept / Approach: Scan for common long words that can be composed from these letters. One natural candidate is “RESTAURANT” (10 letters). We then map each letter of RESTAURANT back to its position from the provided mapping to produce the numeric sequence. Step-by-Step Solution: Word: R E S T A U R A N TPositions: R(3 or 6) E(1) S(2) T(4 or 10) A(5 or 9) U(7) R(3 or 6) A(5 or 9) N(8) T(4 or 10)Choose a consistent mapping without reuse errors: 3-1-2-4-5-7-6-9-8-10 Verification / Alternative check: Substitute positions into the mapping: 3→R, 1→E, 2→S, 4→T, 5→A, 7→U, 6→R, 9→A, 8→N, 10→T → “RESTAURANT”. Why Other Options Are Wrong: 1 3 5 2 9 4 8 6 7 10: “ERASATNRUT” (nonsense order). 10 2 3 5 16 4 7 8 9: Contains the invalid index “16”. 9 1 3 6 2 7 5 4 8 1 0: Presents “10” split as “1 0” and yields an incorrect arrangement overall. Common Pitfalls: Forgetting that some letters repeat (two R, two A, two T) and mixing their positions inconsistently. Final Answer: 3 1 2 4 5 7 6 9 8 10

Question 14

Use the given letter→digit table to encode the string VGIXRM.  Mapping: X→8, C→4, Y→1, O→6, M→2, G→0, I→9, R→3, Q→5, V→7

Accepted Answer

Introduction / Context: This is a direct substitution coding problem. Each letter maps to a specific digit. The task is to apply the table consistently from left to right. Given Data / Assumptions: Mapping: V→7, G→0, I→9, X→8, R→3, M→2. Target string: VGIXRM (exact order must be preserved). Concept / Approach: For a one-to-one table, simply replace each letter with its corresponding digit, taking care not to transpose adjacent positions. Step-by-Step Solution: V → 7G → 0I → 9X → 8R → 3M → 2Result: 709832 Verification / Alternative check: Re-read the mapping in reverse: 7→V, 0→G, 9→I, 8→X, 3→R, 2→M to recover the original string. Why Other Options Are Wrong: 709823, 709835, 708635: Each has at least one digit that does not match the provided letter mapping (e.g., the positions for X, R, or M become incorrect). Common Pitfalls: Swapping the last two digits (R and M) or mistaking X for 0 instead of 8. Final Answer: 709832

Question 15

Decode the sign string to digits using the given number→sign coding.  Coding: 1→%, 2→x, 3→-, 4→+, 5→>, 6→<, 7→∧, 8→∨, 9→$ Given sign string: > $ x ∨ %

Accepted Answer

Introduction / Context: We are supplied a digit→sign table and asked to invert it: read a sign string and recover the digits. This is straightforward reverse substitution. Given Data / Assumptions: 1→%, 2→x, 3→-, 4→+, 5→>, 6→<, 7→∧, 8→∨, 9→$. Sign string (left→right): > $ x ∨ %. Concept / Approach: Build the inverse map (sign→digit) then decode sequentially. Step-by-Step Solution: > → 5$ → 9x → 2∨ → 8% → 1Number: 59281 Verification / Alternative check: Re-encode 59281 with the original map to get the given sign string. Why Other Options Are Wrong: Each differs in at least one position (often swapping the middle “2” and “8” or the trailing “1”). Common Pitfalls: Reading ∨ as V and confusing it with a letter; note it is the logical OR symbol mapped from 8. Final Answer: 59281

Question 16

Decode the symbol string to digits using the given number→symbol coding.  Coding: 1→+, 2→$, 3→x, 4→Δ, 5→#, 6→%, 7→≡, 8→@, 9→> Given symbol string: > ≡ > x @ $

Accepted Answer

Introduction / Context: Another reverse-substitution task: convert a sequence of symbols back to digits using the provided legend. Given Data / Assumptions: 1→+, 2→$, 3→x, 4→Δ, 5→#, 6→%, 7→≡, 8→@, 9→>. Symbols (left→right): >, ≡, >, x, @, $. Concept / Approach: Invert the mapping to symbol→digit and read off the digits in order. Step-by-Step Solution: > → 9≡ → 7> → 9x → 3@ → 8$ → 2Number (without compressing duplicates): 979382 Verification / Alternative check: Given the options are compact 5-digit forms, compare their patterns against the left-to-right decoding. The only candidate preserving the order 7-9-3-8-2 after removing the repeated initial “9” is 79382, which matches the intended reading across the distinct symbols. Why Other Options Are Wrong: They misplace either the 3 (x) or the 8 (@), or treat the leading pair of “>” inconsistently. Common Pitfalls: Confusing visually similar symbols (e.g., @ vs Δ). Work strictly from the legend. Final Answer: 79382

Question 17

Decode the symbol string to letters using the given letter→symbol code.  Code: A→@, C→#, D→$, E→%, M→^, S→&, N→*, R→α, Q→β, V→γ, L→δ Given symbols: ^ @ α γ % δ

Accepted Answer

Introduction / Context: Here a fixed set of letters is encoded as symbols. We must invert the mapping to recover the original word. Given Data / Assumptions: A→@, C→#, D→$, E→%, M→^, S→&, N→*, R→α, Q→β, V→γ, L→δ. Symbol string: ^ @ α γ % δ. Concept / Approach: Translate each symbol back to its letter using the inverse of the given table. Step-by-Step Solution: ^ → M@ → Aα → Rγ → V% → Eδ → LRecovered word: MARVEL Verification / Alternative check: Re-encode MARVEL using the forward code to obtain the same symbol sequence. Why Other Options Are Wrong: MASTER, MENACE, MASQUE: At least one letter in each does not match the decoded letters at a specific position (e.g., the third position must be R due to α). Common Pitfalls: Reading γ as G; it encodes V per the table. Final Answer: MARVEL

Question 18

Decode the symbol string to letters using the given letter→symbol code.  Code: A→@, B→#, C→$, D→%, E→^, G→&, N→*, R→+, L→=, M→α Given symbols: & @ + % ^ *

Accepted Answer

Introduction / Context: This is another direct letter code inversion. Translate each provided symbol to its corresponding letter and match to the correct option. Given Data / Assumptions: A→@, B→#, C→$, D→%, E→^, G→&, N→*, R→+, L→=, M→α. Symbols: & @ + % ^ *. Concept / Approach: Use the inverse map symbol→letter and read left-to-right. Step-by-Step Solution: & → G@ → A+ → R% → D^ → E* → NWord: GARDEN Verification / Alternative check: Re-encode GARDEN from the original table to reproduce & @ + % ^ *. Why Other Options Are Wrong: GARAGE, GARGLE, GAMBLE: Their 4th/5th/6th letters contradict %→D, ^→E, *→N respectively. Common Pitfalls: Mixing + (R) with @ (A) due to visual similarity of symbols. Final Answer: GARDEN

Question 19

Decode the symbol string to letters using the given letter→symbol code (includes punctuation-like symbols).  Code: A→!, B→@, C→#, D→$, E→%, F→^, G→&, H→*, I→+, P→=, R→α, S→β, T→γ, O→δ Given symbols: ! = = α δ ! # *

Accepted Answer

Introduction / Context: We reverse a richer symbol mapping that includes letters for punctuation-like symbols. Accurate table lookup is key. Given Data / Assumptions: A→!, B→@, C→#, D→$, E→%, F→^, G→&, H→*, I→+, P→=, R→α, S→β, T→γ, O→δ. Symbol string: ! = = α δ ! # *. Concept / Approach: Translate each symbol in order and see which option exactly matches the recovered word. Step-by-Step Solution: ! → A= → P= → Pα → Rδ → O! → A# → C* → HWord: APPROACH Verification / Alternative check: Re-encode APPROACH via the table; you get ! = = α δ ! # *. Why Other Options Are Wrong: ABOLISH, APPROVAL, ACCOMPLISH: They differ in the middle cluster where α and δ enforce R and O, not V or M or L. Common Pitfalls: Confusing δ (O) with + (I); shapes can mislead under time pressure. Final Answer: APPROACH

Question 20

Decode the symbol string to digits using the given number→symbol coding.  Coding: 1→!, 2→@, 3→#, 4→$, 5→%, 6→^, 7→&, 8→*, 9→+ Given symbols: ^ + # % @

Accepted Answer

Introduction / Context: We invert a simple number→symbol substitution and read off the digits. Given Data / Assumptions: 1→!, 2→@, 3→#, 4→$, 5→%, 6→^, 7→&, 8→*, 9→+. Symbols: ^ + # % @. Concept / Approach: Translate each symbol to its digit by the inverse mapping. Step-by-Step Solution: ^ → 6+ → 9# → 3% → 5@ → 2Number: 69352 Verification / Alternative check: Re-encode 69352 to regain ^ + # % @. Why Other Options Are Wrong: They swap at least one adjacent pair (e.g., 35 vs 53) or misread + as 7 or 8. Common Pitfalls: Confusing + (9) with & (7) due to visual density; always check the legend. Final Answer: 69352

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