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MATHEMATICAL REASONING — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSMATHEMATICAL REASONING1 Mark
MCQ
Which statement is logically equivalent to "If Yoda cannot use a lightsaber then he cannot help Luke win the battle":
  • A
    Yoda cannot use a lightsaber and he will help Luke win the battle.
  • ✓
    If Yoda can help Luke win the battle then he can use a lightsaber.
  • C
    Yoda can use a lightsaber if and only if he can help Luke win the battle.
  • D
    Yoda cannot use a lightsaber and will not help Luke win the battle.
✓

Answer

Correct option: B.
If Yoda can help Luke win the battle then he can use a lightsaber.
A statement is logically equivalent to its contrapositive To form the contrapositive switch the "If" and "then" sections of the statement AND insert "NOTs" into each section Notice in this situation that inserting "NOTs" turns the thoughts positive (you are negating negative thoughts).




     
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