Let's analyze each reaction:
A. Iodoform Reaction:
Acetaldehyde ($ CH_3CHO $) contains a $ CH_3CO- $ group and thus gives a positive iodoform test.
Acetone ($ CH_3COCH_3 $) also contains a $ CH_3CO- $ group and thus gives a positive iodoform test.
Conclusion: Both acetaldehyde and acetone undergo the iodoform reaction.
B. Cannizzaro Reaction:
The Cannizzaro reaction is given by aldehydes that do not have an α-hydrogen. Acetaldehyde has α-hydrogens and thus does not undergo the Cannizzaro reaction.
Acetone is a ketone and thus cannot undergo the Cannizzaro reaction.
Conclusion: Neither acetaldehyde nor acetone undergoes the Cannizzaro reaction.
C. Aldol Condensation:
The aldol condensation is given by aldehydes and ketones having at least one α-hydrogen. Acetaldehyde has α-hydrogens and thus undergoes aldol condensation.
Acetone also has α-hydrogens and thus undergoes aldol condensation.
Conclusion: Both acetaldehyde and acetone undergo aldol condensation.
D. Tollen's Test:
Tollen's test is given by aldehydes. Acetaldehyde is an aldehyde and thus gives a positive Tollen's test.
Acetone is a ketone and does not give the Tollen's test.
Conclusion: Only acetaldehyde undergoes the Tollen's test.
E. Clemmensen Reduction:
The Clemmensen reduction is used to reduce aldehydes and ketones to alkanes. Both acetaldehyde and acetone undergo Clemmensen reduction.
Conclusion: Both acetaldehyde and acetone undergo Clemmensen reduction.
Final Conclusion:
The reactions that both acetaldehyde and acetone undergo are: Iodoform reaction (A), Aldol condensation (C), and Clemmensen reduction (E).
Final Answer:
The final answer is $ A,\ C\ \text{and}\ E\ \text{only} $.
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
Consider the following reaction sequence: 
Given: Compound (x) has percentage composition \(76.6%\ \text{C}\), \(6.38%\ \text{H}\) and vapour density \(=47\). Compound (y) develops a characteristic colour with neutral \(\mathrm{FeCl_3}\) solution. Identify the {INCORRECT statement.}
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.