Identify the figure given in the options which when put in place of ‘?’ will logically complete the series.
Correct Answer :
Solution :
To determine the figure that logically completes the series, let us analyze the change in the number of symbols in each row from one frame to the next.
Let us count the number of pluses (+), circles (o), and stars (*) in each of the given frames of the series:
Frame 1:
- Pluses (+): 1
- Circles (o): 1
- Stars (*): 1
Frame 2:
- Pluses (+): 3 (an increase of 2)
- Circles (o): 1 (unchanged)
- Stars (*): 1 (unchanged)
Frame 3:
- Pluses (+): 3 (unchanged)
- Circles (o): 4 (an increase of 3)
- Stars (*): 1 (unchanged)
Frame 4:
- Pluses (+): 3 (unchanged)
- Circles (o): 4 (unchanged)
- Stars (*): 5 (an increase of 4)
Pattern Analysis:
In each step, only one type of symbol increases in number, moving sequentially from the top row to the bottom row, and then wrapping back to the top:
1. Step 1 (Frame 1 to 2): The top row (pluses) increases by 2.
2. Step 2 (Frame 2 to 3): The middle row (circles) increases by 3.
3. Step 3 (Frame 3 to 4): The bottom row (stars) increases by 4.
4. Step 4 (Frame 4 to 5): Following the sequence, it is now the turn of the top row (pluses) to increase again.
The count of the updated row in any step is equal to the count of the previously updated row plus 1:
- Number of circles in Frame 3 = (Pluses in Frame 2) + 1 = 3 + 1 = 4
- Number of stars in Frame 4 = (Circles in Frame 3) + 1 = 4 + 1 = 5
- Number of pluses in Frame 5 = (Stars in Frame 4) + 1 = 5 + 1 = 6
Thus, the next frame in the series (Frame 5) must have:
- Pluses (+): 6
- Circles (o): 4
- Stars (*): 5
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