If ‘#’ means ‘×’, ‘@’ means ‘÷’, ‘&’ means ‘+’ and ‘%’ means ‘–’, which of the following equations is correct?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 45 @ 9 & 6 # 7 % 8 = 39
In each option write the real sign for every symbol (# as ×, @ as ÷, & as +, % as –), then work out the left side by BODMAS.
Option (2) becomes 45 ÷ 9 + 6 × 7 – 8
\(45\div9=5\)
\(6\times7=42\)
\(5+42-8=39\), which equals the right side
Why the other options are incorrect
Option (1) 16 @ 4 # 5 & 3 % 2 = 23 — Incorrect. It becomes 16 ÷ 4 × 5 + 3 – 2 \(=\) 21, not 23.
Option (3) 12 # 3 % 18 @ 6 & 4 = 31 — Incorrect. It becomes 12 × 3 – 18 ÷ 6 + 4 \(=\) 37, not 31.
Option (4) 7 & 8 # 3 % 30 @ 5 = 23 — Incorrect. It becomes 7 + 8 × 3 – 30 ÷ 5 \(=\) 25, not 23.