If 'A + B' means 'A' is daughter of 'B', 'A - B' means 'A' is husband of 'B', 'A × B' means 'A' is brother of 'B'. Which of the following statements does not hold?

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OSSC Junior Stenographer, Junior Typist (Prelims) Official Paper (Held On: 09 Feb, 2025)
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  1. A + B + C
  2. A - C × C
  3. A - B + C
  4. A + B - C

Answer (Detailed Solution Below)

Option 2 : A - C × C
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Decoding the Symbols:

Symbol + - ×
Meaning A is daughter of B (A is female) A is husband of B (A is male, B is female) A is brother of B (A is male)

 

Let's analyze each statement:

1) A + B + C

qImage682dac311a145e06390c1f33

  • This sequence is logically possible. A is the granddaughter of C, and B is the daughter of C.

2) A - C × C

qImage682dac311a145e06390c1f34

  • A - C: A is husband of C (A is male, C is female).
  • C × C: C is brother of C. This part of the statement implies that a person is their own brother, which is logically impossible.

3) A - B + C

qImage682dac321a145e06390c1f36

  • This sequence is logically possible. A is the son-in-law of C, and B is the daughter of C.

4) A + B - C

qImage682dac321a145e06390c1f38

  • This sequence is logically possible. A is the daughter of B, and B is the husband of C. So, A is the daughter of B and C.

The statement that does not hold is 'A - C × C' because 'C is brother of C' is a self-contradictory and impossible relationship.

Hence, the correct answer is "Option 2".

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