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If + means −, − means ×, × means ÷, and ÷ means +, then what will come in place of the question mark (?) in the following equation? 16÷96×6−4+20=?
60
56
54
50
60
Replace signs first as per given instructions, then apply BODMAS: (Division → Multiplication → Addition → Subtraction).
Replace signs first as per given instructions, then apply BODMAS: (Division → Multiplication → Addition → Subtraction).
Substitute Signs
Given conversions: + means -, - means ×, × means ÷, and ÷ means +. The equation 16 ÷ 96 × 6 - 4 + 20 becomes 16 + 96 ÷ 6 × 4 - 20.
Apply BODMAS
Solve Division first: 96 ÷ 6 = 16. Equation: 16 + 16 × 4 - 20.
Perform Multiplication
16 × 4 = 64. Equation: 16 + 64 - 20.
Final Addition and Subtraction
16 + 64 = 80; then 80 - 20 = 60.
B: 56, C: 54, and D: 50 are incorrect because they result from improper order of operations or failure to correctly substitute the signs provided in the prompt.
A is correct because substituting the given signs correctly and applying the BODMAS order of operations yields the value 60.
Always write down the new equation after substitution before performing any calculations to avoid mixing up the signs mid-process.