Question

If ‘+’ means ‘×’, ‘-’ means ‘÷’, ‘×’ means ‘-’ and ‘÷’ means ‘+’, then find the value of: \(6 + 64 - 8 ÷ 45 × 8\)

• A. 85
• B. 76
• C. 87
• D. 75

Hint:

Always substitute operators first, then apply BODMAS strictly.

Answer 1

The Correct Option is A

To solve the given problem, we need to interpret the arithmetic operations as per the new symbols defined in the question:

• '+' means '×'
• '-' means '÷'
• '×' means '-'
• '÷' means '+'

We substitute the symbols in the expression \(6 + 64 - 8 ÷ 45 × 8\) according to these definitions:

1. Replace '+' with '×': \(6 \times 64\)
2. Replace '-' with '÷': \(÷ 8\)
3. Replace '÷' with '+': \(+ 45\)
4. Replace '×' with '-': \(- 8\)

The expression now becomes: \(6 \times 64 ÷ 8 + 45 - 8\).

We then solve the expression step-by-step following the order of operations (BODMAS/BIDMAS rules):

1. First, perform multiplication and division from left to right:
   1. \(6 \times 64 = 384\)
   2. \(384 ÷ 8 = 48\)
2. Next, perform addition and subtraction from left to right:
   1. \(48 + 45 = 93\)
   2. \(93 - 8 = 85\)

After evaluating the expression, we find that the value of the given expression is 85.

Therefore, the correct answer is 85.