Logic

Arithmetic Puzzles

Arithmetic Puzzles - Operator Search

         

What series of signs will make the following equation true: 2 □ 2 □ 2 □ 2=−6 2 \, \square \, 2 \, \square \, 2 \, \square \, 2 = -6

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Which of the following series of signs will make the following equation true: 2 □ 2 □ 2 □ 2=4? 2 \, \square \, 2 \, \square \, 2 \, \square \, 2 = 4?

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What series of signs will NOT make the following equation true: 8 □ 8 □ 8 □ 8=0? 8 \, \square \, 8 \, \square \, 8 \, \square \, 8 = 0?

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How many different 3-tuples (□,△,⋆)(\square,\triangle,\star) of operators make the following equation true: 6 □ (3 △ 2)=1 ⋆ 1?6 \, \square \, (3 \, \triangle \, 2)=1 \, \star \, 1?

Details and Assumptions

  • □,△,⋆\square,\triangle,\star can be one of the four arithmetic operators: +,−,×,÷.+,-,\times,\div.
  • One kind of operator can be used more than once.
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What series of signs will NOT make the following equation true: 4 □ 4 □ 4 □ 4=16? 4 \, \square \, 4 \, \square \, 4 \, \square \, 4 = 16?

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