Step 1: Analyse the church situation.
The passage states that the mother was embarrassed by Apenyo's singing in church. However, this embarrassment is not mentioned for the home situation, so option (A) is not certain. ✘
Step 2: Analyse the home situation.
At home, the mother's reaction was twofold: sometimes annoyed, but most often she became pensive (thoughtful). This disproves option (B), which claims her feelings were only annoyance. ✘
Step 3: Inheritance of singing.
The passage clearly says the mother was "by now convinced" that Apenyo inherited her love of singing from her father. Thus, she was sure — not uncertain. This eliminates option (C). ✘
Step 4: Certainty in the passage.
It is explicitly stated that when Apenyo sang at home, her mother most often became pensive (thoughtful). This directly supports option (D). ✔
\[
\boxed{\text{When Apenyo hummed at home, her mother tended to become thoughtful.}}
\]
The figures, I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence as IV?
For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by \( \frac{\alpha M_0}{8EI} \). The value of \( \alpha \) is ........ (rounded off to the nearest integer).