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What will come in the place of '?' in the following equation, if '×' and '÷' are interchanged and '-' and '+' are interchanged? 7÷3+15−28×7=?
10
100
70
40
10
Follow BODMAS rule after replacing the operators: replace ÷ with ×, × with ÷, + with -, and - with +. Solve division first, then multiplication, then addition/subtraction.
Follow BODMAS rule after replacing the operators: replace ÷ with ×, × with ÷, + with -, and - with +. Solve division first, then multiplication, then addition/subtraction.
Symbol Replacement
Replace operators as per the question: ÷ becomes ×, × becomes ÷, + becomes -, and - becomes +. Original: 7 ÷ 3 + 15 - 28 × 7. New: 7 × 3 - 15 + 28 ÷ 7.
BODMAS Application
Apply BODMAS: First divide (28 ÷ 7 = 4), then multiply (7 × 3 = 21), resulting in 21 - 15 + 4.
Final Arithmetic
Perform addition and subtraction: 21 - 15 = 6, then 6 + 4 = 10.
B: 100 is incorrect as it results from ignoring operator precedence. C: 70 is incorrect due to calculation errors. D: 40 is incorrect as it ignores the specific transformation rule.
A is correct because applying the transformation 7 × 3 - 15 + 28 ÷ 7 yields 21 - 15 + 4 = 10.
In transformation problems, always write out the full new equation before starting calculations to avoid mixing up swapped operators.
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