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What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘÷’ are interchanged and ‘×’ and ‘−’ are interchanged? 19 × 6 ÷ 10 − 2 + 1 = ?
28
48
33
36
33
Rewrite the expression immediately after applying the sign swap, then strictly follow the BODMAS/PEMDAS order of operations to avoid calculation errors.
Rewrite the expression immediately after applying the sign swap, then strictly follow the BODMAS/PEMDAS order of operations to avoid calculation errors.
Interchange the given signs
Original equation: 19 * 6 / 10−2 + 1. According to instructions: replace * with -, / with +, - with *, and + with /. The new equation becomes: 19 - 6 + 10 * 2 / 1.
Apply BODMAS rule
Solve in order: Division, Multiplication, Addition, Subtraction. First, 2 / 1 = 2. Then, 10 * 2 = 20. The equation is now 19 - 6 + 20.
Final arithmetic
Perform addition and subtraction from left to right: 19 - 6 = 13, and 13 + 20 = 33.
A: 28 is incorrect because it fails to perform the division correctly; B: 48 is incorrect as it prioritizes addition before multiplication; D: 36 is incorrect due to a sign error during the simplification process.
C is correct because applying the sign interchange and following BODMAS results in exactly 33.
Always write down the new equation clearly before calculating; jumping directly into mental math often leads to sign precedence errors.
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