The given signs signify something and on that basis , assume the given…

2024

The given signs signify something and on that basis , assume the given statements to be true and find which of the two conclusions I and II is/are definitely true

P=Q means P is equal to Q.

P-Q means P is positive and Q is negative.

P+Q means P or Q is negative

P/Q means P and Q both are negative

P*Q means P and Q are zero

P^Q means P is zero and Q is negative

Statements:- B- E,A+(C/D),F*G,G=A

Conclusions:-

1. (B*C)=D

2.(F*A)^(E/D)

  1. A.

    Only conclusion 1 is true.

  2. B.

    Only conclusion 2 is true.

  3. C.

    Neither conclusion 1 nor conclusion 2 is true

  4. D.

    Both conclusion 1 and 2 is true

Show answer & explanation

Correct answer: B

CONCEPT: In a statement-and-conclusion puzzle built on custom symbols, each symbol between two letters is first decoded using its own fixed rule (positive, negative, zero, or equal). When a statement or conclusion nests several letters through more than one symbol, every adjacent pair is decoded separately and every resulting fact about a letter is collected together. A conclusion written in the same symbols is then definitely true only if every fact it encodes matches everything already derived from the statements — a mismatch anywhere makes that conclusion false.

  1. B-E decodes directly: B is positive and E is negative.

  2. A+(C/D) is decoded group by group: the inner group C/D fixes C as negative and D as negative; since that inner group is already negative, the outer + (which only needs A or the group to be negative) is satisfied by the group alone, so this statement adds no separate condition on A.

  3. F*G decodes to F is zero and G is zero.

  4. G=A means G equals A; since G is zero, A is also zero.

  5. Putting every fact together: A = 0, B is positive, C is negative, D is negative, E is negative, F = 0, G = 0.

  6. Conclusion 1, (B*C)=D: its inner group B*C needs both B and C to be zero, but B is positive, so this inner group's own condition fails immediately, and Conclusion 1 cannot be definitely true.

  7. Conclusion 2, (F*A)^(E/D): its inner groups need F*A to be zero-zero and E/D to be negative-negative; both match the derived facts (F=0, A=0, E negative, D negative) exactly, so Conclusion 2 is definitely true.

Cross-check: Substituting A=0, B positive, C negative, D negative, E negative, F=0, G=0 back into every original statement — B-E, A+(C/D), F*G, and G=A — confirms each one holds exactly as decoded, verifying the derivation independently of the conclusion check above.

Result: Only Conclusion 2 is true.

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