Question
Download Solution PDFWhich of the following sets of signs should be used to replace * in the following?
39 * 3 * 2 = 3 * 7 * 6
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFBODMAS rule
Given equation: 39 * 3 * 2 = 3 * 7 * 6
Let's check each option by replacing the '*' signs and applying the BODMAS rule:
Option 1) + , × , ÷ , -
Equation: 39 + 3 × 2 = 3 ÷ 7 - 6
LHS: 39 + 3 × 2 = 39 + 6 = 45
RHS: 3 ÷ 7 - 6 ≈ 0.428 - 6 = -5.572
LHS ≠ RHS
Option 2) + , × , × , +
Equation: 39 + 3 × 2 = 3 × 7 + 6
LHS: 39 + 3 × 2 = 39 + 6 = 45
RHS: 3 × 7 + 6 = 21 + 6 = 27
LHS ≠ RHS
Option 3) ÷ , + , × , -
Equation: 39 ÷ 3 + 2 = 3 × 7 - 6
LHS: 39 ÷ 3 + 2 = 13 + 2 = 15
RHS: 3 × 7 - 6 = 21 - 6 = 15
LHS = RHS
Option 4) × , - , ÷ , +
Equation: 39 × 3 - 2 = 3 ÷ 7 + 6
LHS: 39 × 3 - 2 = 117 - 2 = 115
RHS: 3 ÷ 7 + 6 ≈ 0.428 + 6 = 6.428
LHS ≠ RHS
Hence, the correct answer is "Option 3".
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