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By applying which of the following meanings of arithmetical signs, will the value of the expression \([800-10\div\frac{1}{2}\times35+75]\) be zero?

Question and options

By applying which of the following meanings of arithmetical signs, will the value of the expression [800−10÷12×35+75][800-10\div\frac{1}{2}\times35+75] be zero?
  1. × means ÷, + means ×, ÷ means +, − means −
  2. × means +, + means −, ÷ means ÷, − means ×
  3. × means +, + means −, ÷ means ×, − means ÷
  4. × means ÷, + means −, ÷ means ×, − means +

Answer and explanation

Correct answer: C - × means +, + means −, ÷ means ×, − means ÷
With the substitution '× means +, + means −, ÷ means ×, − means ÷' the expression becomes 800 / 10 x 1/2 + 35 - 75 = 80 x 1/2 + 35 - 75 = 40 + 35 - 75 = 0. The other substitutions give 790+..., 16000+... or about 725, not zero.

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