If + means −, − means ×, × means ÷, and ÷ means +, what replaces the question…
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If + means −, − means ×, × means ÷, and ÷ means +, what replaces the question mark (?) in the equation 50 − 12 ÷ 8 + 24 × 3 = ?
Answer: C. 600 — ConceptIn symbol-substitution problems, first replace every displayed operator with the operation assigned to it in the stem. After rewriting the complete…
- A.
580
- B.
616
- C.
600
- D.
608
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Correct answer: C
Concept
In symbol-substitution problems, first replace every displayed operator with the operation assigned to it in the stem.
After rewriting the complete expression, apply the standard order of operations: multiplication and division before addition and subtraction, with equal-precedence operations evaluated from left to right.
Application
Use the given replacements: + becomes −, − becomes ×, × becomes ÷, and ÷ becomes +.
Thus, 50 − 12 ÷ 8 + 24 × 3 becomes 50 × 12 + 8 − 24 ÷ 3.
Evaluate multiplication and division: 50 × 12 = 600 and 24 ÷ 3 = 8.
Now calculate 600 + 8 − 8 = 600.
Cross-check
The added 8 and subtracted 8 cancel each other, leaving the product 50 × 12 = 600. Therefore, the required value is 600.