In the equations below, ‘@’ and ‘#’ stand for two different signs chosen from +, –, × and ÷, and each equation is correct when worked out by BODMAS.
6 @ 3 # 2 = 20
9 @ 4 # 5 = 41
What is the value of 7 @ 5 # 3?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 38
Try the possible signs in the first equation and keep the pair that also fits the second; then use the same signs in the new expression.
In 6 @ 3 # 2 = 20, the only way to reach 20 is \(6\times3+2=18+2=20\), so ‘@’ is × and ‘#’ is +
Check with the second equation: \(9\times4+5=36+5=41\), which is correct
So 7 @ 5 # 3 \(=7\times5+3=35+3=38\)