If + means −, − means ×, × means ÷ and ÷ means +, then what will come in place of the question mark (?) in the following equation?
173 − 3 ÷ 282 + 164 × 4 = ?
Correct Answer :
760
Solution :
The correct answer is 760.
To solve the given equation, we need to replace the mathematical operators with their new meanings as specified in the problem statement:
+ means −
− means ×
× means ÷
÷ means +
The original equation given in the question is:
Substituting the new operators into the equation, we get:
Now, we apply the standard BODMAS / PEMDAS rule (Order of Operations: Division, Multiplication, Addition, Subtraction):
Step 1: Perform Division
Divide 164 by 4:
The expression now becomes:
Step 2: Perform Multiplication
Multiply 173 by 3:
The expression now becomes:
Step 3: Perform Addition
Add 519 and 282:
The expression now becomes:
Step 4: Perform Subtraction
Subtract 41 from 801:
Thus, the value that comes in place of the question mark (?) is 760.
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