Question
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then the resultant of which of the following would be 77?
Given symbol meanings:
A → ÷ , B → × , C → +, D → −
We must find which option gives a result = 77
Option A:
42 B 6 C 38 D 18 A 6
= 42 × 6 + 38 − 18 ÷ 6
Apply BODMAS rule:
42 × 6 = 252
18 ÷ 6 = 3
Now expression = 252 + 38 − 3
= 290 − 3
= 287 (Incorrect)
Option B:
42 A 6 D 38 C 18 B 6
= 42 ÷ 6 − 38 + 18 × 6
42 ÷ 6 = 7
18 × 6 = 108
Now = 7 − 38 + 108
= (7 − 38) + 108
= −31 + 108
= 77 (Correct)
Option C:
42 C 6 B 38 A 18 D 6
= 42 + 6 × 38 ÷ 18 − 6
6 × 38 = 228
228 ÷ 18 = 12.666...
Now = 42 + 12.666 − 6 = 48.666 (Incorrect)
Option D:
42 D 6 A 38 B 18 C 6
= 42 − 6 ÷ 38 × 18 + 6
6 ÷ 38 = 0.1579
0.1579 × 18 = 2.842
Now = 42 − 2.842 + 6 = 45.158 (Incorrect)
Thus, correct option is (b).
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