If + means −, − means ×, × means ÷, ÷ means +, then what will be the value of the following expression?
145 ÷ 96 × 12 + 13 = ?
Correct Answer :
140
Solution :
To find the value of the given expression, we first need to substitute the mathematical operators with the new operators as defined in the question:
- "+" means "−" (subtraction)
- "−" means "×" (multiplication)
- "×" means "÷" (division)
- "÷" means "+" (addition)
The given expression is:
Now, we apply the operator substitutions:
- Replace "÷" with "+"
- Replace "×" with "÷"
- Replace "+" with "−"
After substituting the operators, the new expression becomes:
Next, we solve this expression using the BODMAS rule, which dictates the order of operations: Division, Multiplication, Addition, and then Subtraction.
Step 1: Perform the Division
First, we divide 96 by 12:
Substituting this back into the expression:
Step 2: Perform the Addition
Next, we add 145 and 8:
Substituting this back into the expression:
Step 3: Perform the Subtraction
Finally, we subtract 13 from 153:
Thus, the value of the expression is 140.
The correct answer is 140.
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