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If 'J' stands for '×', 'K' stands for '−', 'L' stands for '÷' and 'M' stands for '+', what will come in place of the question mark '?' in the following equation? 5 J 12 K 56 M 21 L 7=?
17
13
3
7
7
Replace letters with their operators and follow BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction). Remember that Division comes before Multiplication.
Replace letters with their operators and follow BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction). Remember that Division comes before Multiplication.
Substitution
Replace the letters with their defined mathematical operators: J=×, K=-, M=+, L=÷. The equation becomes: 5 × 12 - 56 + 21 ÷ 7.
BODMAS Application
Solve according to BODMAS: first division (21 ÷ 7 = 3), then multiplication (5 × 12 = 60), then addition/subtraction (60 - 56 + 3 = 4 + 3 = 7).
A: 17 is incorrect as it results from miscalculating the order of operations. B: -13 is incorrect as it ignores the BODMAS rule for division. C: -3 is incorrect as it reflects an arithmetic error.
D is correct because following the BODMAS rule (Division → Multiplication → Addition → Subtraction) on 5 × 12 - 56 + 21 ÷ 7 yields the value 7.
Always identify operators first and apply the BODMAS rule strictly. A common trap is performing operations left-to-right without prioritizing division.