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If A means +, B means −, C means × and D means ÷, then what will come in place of the question mark (?) in the following equation? 21 D 7 C 4 A 10 B 13 = ?
9
10
8
11
9
Apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after substituting the symbols to avoid calculation errors.
Apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after substituting the symbols to avoid calculation errors.
Substitute the symbols
Given A = +, B = -, C = x, D = /. Substituting these into 21 D 7 C 4 A 10 B 13 gives 21 / 7 * 4 + 10−13.
Execute BODMAS sequence
First, perform division: 21 / 7 = 3. The equation becomes 3 * 4 + 10−13. Next, perform multiplication: 3 * 4 = 12. The equation becomes 12 + 10−13.
Final arithmetic
Perform addition: 12 + 10 = 22. Finally, perform subtraction: 22 - 13 = 9.
B: 10 is wrong because the calculation results in 9, not 10. C: 8 is wrong as it deviates from the correct arithmetic sequence of operations. D: 11 is wrong because it fails to follow the BODMAS rule.
A is correct because substituting the operators yields 21/74+10−13, which simplifies to 34+10−13, 12+10−13, and finally 22-13=9.
Always verify your division and multiplication first, as most errors in these problems occur by performing additions before subtractions in the wrong order.
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