Question Details

If + means −, − means ×, × means ÷, ÷ means +, then what will be the value of the following expression?
145 ÷ 96 × 12 + 13 = ?

Options

A

170

B

120

C

140

D

185

Show Answer

Correct Answer :

Option C

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:
145 ÷ 96 × 12 + 13

Now, we apply the operator substitutions:
- Replace "÷" with "+"
- Replace "×" with "÷"
- Replace "+" with "−"

After substituting the operators, the new expression becomes:
145 + 96 ÷ 12 - 13

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:
96 ÷ 12 = 8

Substituting this back into the expression:
145 + 8 - 13

Step 2: Perform the Addition
Next, we add 145 and 8:
145 + 8 = 153

Substituting this back into the expression:
153 - 13

Step 3: Perform the Subtraction
Finally, we subtract 13 from 153:
153 - 13 = 140

Thus, the value of the expression is 140.

The correct answer is 140.

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