If + means −, − means ×, ÷ means + and × means ÷, then what will come in place…

2026

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

156 + 22 − 3 ÷ 45 × 9 = ?

  1. A.

    94

  2. B.

    95

  3. C.

    96

  4. D.

    97

Attempted by 44 students.

Show answer & explanation

Correct answer: B

Concept

In a symbol-substitution problem, each operator in the expression is replaced by the meaning assigned to it, and only then is the resulting arithmetic expression evaluated using BODMAS (Brackets, Of, Division, Multiplication, Addition, Subtraction). The given symbols are never used with their usual meaning.

Application

Substitute every operator using the given rule (+ → −, − → ×, ÷ → +, × → ÷), then evaluate by BODMAS:

  1. Rewrite the expression with substituted operators: 156 + 22 − 3 ÷ 45 × 9 becomes 156 − 22 × 3 + 45 ÷ 9.

  2. Division first: 45 ÷ 9 = 5.

  3. Multiplication next: 22 × 3 = 66.

  4. The expression reduces to 156 − 66 + 5.

  5. Evaluate left to right: 156 − 66 = 90, then 90 + 5 = 95.

Cross-check

Re-substitute independently: the original signs +, −, ÷, × map to −, ×, +, ÷ respectively, giving 156 − 22 × 3 + 45 ÷ 9. Computing multiplication and division before addition and subtraction again yields 156 − 66 + 5 = 95. The value is 95.

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