Number Substitution( Week 42 Evaluation) 1. If a∧b = (a+b)+(a-b), what is the value of 12∧(7∧5)? 2. If a∎b = ab − a + b, which of the following has the smallest value? 3. If a⊥b=(a+b)+(a-b), then what is the value of 11⊥10? 4. If a∎b = ab + a − b, which of the following has the smallest value? 5. If a@b means , then what will 20@(15@17) = ? 6. If a@b=(a + b) − (a ÷ b), how much larger is 72@9 than 15@5? 7. There are two numbers a and b. If a↑b=3 × b − (a + b) ÷ 2, then what does 4↑(4↑4) equal? 8. If Δ represents the last digit of the corresponding numbers in the following equation: + = 1, what is the digit Δ? 9. If ∇ represents the last digit of the corresponding numbers in the following equation: + = , what is the digit ∇? 10. M and N are two numbers, and M♦N represents . What is the value of 10♦(40♦12). |