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If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+', and 'D' stands for '-', what will come in place of the question mark '?' in the following equation? 78 A 13 B 15 D 20 C 30=?
90
110
80
100
100
Replace the letters with mathematical operators immediately and follow the BODMAS rule (Division, Multiplication, Addition, Subtraction).
Replace the letters with mathematical operators immediately and follow the BODMAS rule (Division, Multiplication, Addition, Subtraction).
Substitute the symbols
Given A = /, B = *, C = +, D = -. The expression 78 A 13 B 15 D 20 C 30 becomes 78 / 13 * 15 - 20 + 30.
Apply BODMAS rule
A: 90 is incorrect as it ignores the addition step. B: 110 is incorrect due to calculation error (possibly 90 - (20+30)). C: 80 is incorrect as it subtracts 20 from 100 or makes a similar operator error.
D is correct because following the BODMAS rule, 78 / 13 * 15 - 20 + 30 results in 6 * 15 - 20 + 30 = 90 - 20 + 30 = 70 + 30 = 100.
Always perform the division operation first to simplify the expression rapidly. Watch out for the order of Addition and Subtraction; it is best to perform them from left to right.
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