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If '+' means ' ×',×' means '÷', '÷' means '-', and '-' means '+', what will come in place of the question mark (?) in the following equation?13-17+24÷
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.

225

C.

510

D.

415

Correct option is D

The original equation is 13 - 17 + 24 ÷ 54 × 18 + 28 × 14 = ?.
The operators have the following meanings:

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

Substituting the operators:
The equation becomes 13 + 17 × 24 - 54 ÷ 18 × 28 ÷ 14.

Apply BODMAS to simplify:

  1. Handle multiplication and division first:
    17×24=40817 × 24 = 40817×24=408
    54÷18=354 ÷ 18 = 354÷18=3
    3×28=843 × 28 = 843×28=84
    84÷14=684 ÷ 14 = 684÷14=6

The equation now becomes 13 + 408 - 6.

  1. Perform addition and subtraction:
    13+408=42113 + 408 = 42113+408=421
    421−6=415421 - 6 = 4154216=415.

Correct Answer: 415

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