Consider the following statements regarding vacuoles in different organisms: 1. In plant cells, vacuoles can occupy up to 90 percent of the volume of the cell. 2. In Amoeba, the contractile vacuole is important for excretion and osmoregulation. 3. Food vacuoles are formed by engulfing food particles in protists. Which of the statements given above are correct?
Options:
- A: 1 and 2 only
- B: 2 and 3 only
- C: 1, 2 and 3
- D: 1 and 3 only
Related Practice Questions:
- Let $S_1$ and $S_2$ be two disjoint, non-empty convex sets in $\mathbb{R}^n$. Under which of the following conditions is there guaranteed to exist a hyperplane that strictly separates $S_1$ and $S_2$?
- Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?
- Let $S = \{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$ be a convex set in $\mathbb{R}^2$. The set of all extreme points of $S$ is given by:
- In a linear programming problem with $3$ independent equality constraints and $5$ variables (including slack/surplus variables), what is the maximum possible number of basic solutions?