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
- A.
1700
- B.
-10
- C.
303
- D.
250
- E.
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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