If + means ×, × means −, ÷ means + and − means ÷, then which of the following…

2023

If + means ×, × means −, ÷ means + and − means ÷, then which of the following gives the result of 225 ÷ 25 + 4 × 10 − 5 × 20

  1. A.

    1700

  2. B.

    -10

  3. C.

    303

  4. D.

    250

  5. E.

    Question not attempted

Attempted by 24 students.

Show answer & explanation

Correct answer: C

To solve this mathematical expression, we must first replace the given symbols with their corresponding operators according to the rules:

+ means x

x means -

+ means + (Note: the prompt says "plus means multiply, divide means plus and minus means divide". Re-reading the prompt: "If + means x, ÷ means + and - means ÷, then which...". It seems the prompt omitted the mapping for 'x'. Based on the expression 225 ÷ 25 + 4 x 10 - 5 x 20, I will assume standard operator precedence and the standard mapping: + becomes x, ÷ becomes +, - becomes ÷, and x becomes -).

Step-by-Step Analysis
Map the Operators:

Original Expression: 225 ÷ 25 + 4 x 10 - 5 x 20

Mapped Expression: 225 + 25 x 4 - 10 ÷ 5 - 20

Apply BODMAS/PEMDAS Rule:

Division first: 10 ÷ 5 = 2

Expression becomes: 225 + 25 x 4 - 2 - 20

Multiplication next: 25 x 4 = 100

Expression becomes: 225 + 100 - 2 - 20

Addition and Subtraction: 225 + 100 = 325

325 - 2 = 323

323 - 20 = 303

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