Question

If '+' means '×', '×' means '÷', '÷' means '—', and '—' means '+', what will come in place of the question mark (?) in the following equation?

13 - 17 + 24 ÷ 54 × 18 + 28 × 14 = ?

• A. 380
• B. 510
• C. 415
• D. 225

Answer 1

Answer:

C. 415

The value that will come in place of the question mark is 415.

First, decode the mathematical operators using the given code rules:

• - becomes +

• + becomes ×

• ÷ becomes -

• × becomes ÷

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1. Substituting the signs into the equation:

• Original: 13 - 17 + 24 ÷ 54 × 18 + 28 × 14 = ?

• Decoded: 13 + 17 × 24 - 54 ÷ 18 × 28 ÷ 14 = ?

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2. Solving using BODMAS rules:

• Step 1: Division (÷) from left to right

  • 54 ÷ 18 = 3

  • The equation becomes: 13 + 17 × 24 - 3 × 28 ÷ 14

  • Then solve the next division: 28 ÷ 14 = 2

  • The equation becomes: 13 + 17 × 24 - 3 × 2

• Step 2: Multiplication (×)

  • 17 × 24 = 408

  • 3 × 2 = 6

  • The equation becomes: 13 + 408 - 6

• Step 3: Addition and Subtraction (+ / -)

  • 13 + 408 = 421

  • 421 - 6 = 415