Which is the figure pattern that comes next in the following sequence?
Show Hint
In non-verbal reasoning series involving joint lines or clock hands, focus on the interior angle between the arms. The progressive increase of \( 45^\circ \) (half of a right angle) is one of the most common patterns in such tests.
Step 1: Understanding the Question:
We need to find the next figure in a sequence of shapes made of two connected arrowheads by observing the patterns of rotation and angular variation.
Step 2: Detailed Explanation:
Let us measure the angle between the two arrowheads in each step of the sequence:
- Figure 1: One arrow points Up (\( 90^\circ \)) and the other points Right (\( 0^\circ \)). The angle between them is \( 90^\circ \).
- Figure 2: One arrow points Top-Left (\( 135^\circ \)) and the other points Right (\( 0^\circ \)). The angle between them is \( 135^\circ \).
- Figure 3: One arrow points Up (\( 90^\circ \)) and the other points Down (\( 270^\circ \)). The angle between them is \( 180^\circ \) (straight line).
- Figure 4: One arrow points Left (\( 180^\circ \)) and the other points Top-Right (\( 45^\circ \)). The angle between them is \( 225^\circ \).
We can see that the angle between the two arrowheads increases by \( 45^\circ \) at each consecutive step:
\[
90^\circ \rightarrow 135^\circ \rightarrow 180^\circ \rightarrow 225^\circ \rightarrow 270^\circ
\]
In the next term (Figure 5), the angle between the two arrows must be \( 270^\circ \) (which appears as a \( 90^\circ \) corner angle but is measured from the other side).
Let us look at the options:
- Option (A) features two arrows pointing Top-Right and Bottom-Right, connected at a vertex on the left. The angle between them is indeed \( 90^\circ \), which represents the required \( 270^\circ \) reflex angle.
Therefore, Option (A) is the next figure in the sequence.
Step 3: Final Answer:
(A) A corner pointing Top-Right and Bottom-Right, with the vertex at the Left
