Match the following:
List-I (Metal in drinking water) | List-II (Maximum prescribed concentration in ppm) |
---|---|
A) Mn | I) \( 0.05 \) |
B) Zn | II) \( 3.0 \) |
C) Cd | III) \( 0.005 \) |
D) Cu | IV) \( 5.0 \) |
Let A be a 3 × 3 matrix such that \(\text{det}(A) = 5\). If \(\text{det}(3 \, \text{adj}(2A)) = 2^{\alpha \cdot 3^{\beta} \cdot 5^{\gamma}}\), then \( (\alpha + \beta + \gamma) \) is equal to: