If 'A' means '+', 'B' means '−', 'C' means '±' and 'D' means '×', then which of the following equation is correct?
I. 45 A 13 B 38 C 19 D 6 = 46
II. 13 A 47 B 36 C 4 D 5 = 15
Show answer & explanation
Correct answer: C
Explanation
A = +
B = −
C = ÷
D = ×
I. 45 A ÷ 13 B ÷ 38 C ÷ 19 D ÷ 6 = 46
Switching symbols:
45 + 13 − 38 ÷ 19 × 6
Now BODMAS:
38 ÷ 19 = 2
2 × 6 = 12
Now:
45 + 13 − 12 = 58 − 12 = 46
The equation is correct.
II. 13 A ÷ 47 B ÷ 36 C ÷ 4 D ÷ 5 = 15
Switching symbols:
13 + 47 − 36 ÷ 4 × 5
36 ÷ 4 = 9
9 × 5 = 45
Now:
13 + 47 − 45 = 60 − 45 = 15
This is also correct.
Conclusion: Both equations are correct.
Correct Answer: 3) Both I and II