Analyzing the Given Sequence and Symbols

The question asks us to find the sum of the numerical values of the positions of the symbols in the given sequence. Each term in the sequence is assigned a position number starting from 1 from the left.

The given sequence is: R + J M 2 $ # Q R ? * O @ 7 F 3

Assigning Positions to Each Term

We will assign a position number to each element in the sequence from left to right, starting with 1.

Identifying Symbols in the Sequence

Next, we need to identify which of the terms in the sequence are symbols. Symbols are characters that are not letters or numbers.

Looking at the sequence and the table above, the symbols are:

• + (plus sign)
• $ (dollar sign)
• # (hash sign)
• ? (question mark)
• * (asterisk)
• @ (at sign)

Finding the Positions of the Symbols

Now, let's find the position number corresponding to each identified symbol based on the table above:

• Symbol '+' is at position 2.
• Symbol '$' is at position 6.
• Symbol '#' is at position 7.
• Symbol '?' is at position 10.
• Symbol '*' is at position 11.
• Symbol '@' is at position 13.

Calculating the Sum of the Positions of the Symbols

Finally, we add the positions of all the symbols to find the total sum.

The positions of the symbols are 2, 6, 7, 10, 11, and 13.

Sum \( = \) Position of '+' \( + \) Position of '$' \( + \) Position of '#' \( + \) Position of '?' \( + \) Position of '*' \( + \) Position of '@'

Sum \( = 2 + 6 + 7 + 10 + 11 + 13 \)

Let's calculate the sum step-by-step:

\( 2 + 6 = 8 \)

\( 8 + 7 = 15 \)

\( 15 + 10 = 25 \)

\( 25 + 11 = 36 \)

\( 36 + 13 = 49 \)

Therefore, the sum of the numerical values of the positions of the symbols is 49.

Revision Table: Sequence Analysis Summary

Here is a summary of the sequence elements, their types, and positions, highlighting the symbols.

Additional Information: Understanding Sequences and Symbols

Sequence-based questions often appear in reasoning or quantitative aptitude sections of exams. They test your ability to follow instructions, identify patterns, and perform calculations based on specific criteria. In this question, the key was to correctly identify what constitutes a 'symbol' within the context of the given sequence and then find the positions of only those elements.

Elements in a sequence can be letters, numbers, symbols, or a mix of these. Positioning is usually done from left to right unless specified otherwise. The 'numerical value of the position' simply refers to the serial number assigned to the element based on its place in the sequence.

To solve such problems effectively, it's helpful to list out each element and its corresponding position clearly, perhaps using a table as shown in the solution. This visual organization helps in accurately identifying the elements that meet the required criteria (in this case, symbols) and avoids missing any terms or miscalculating positions. Once the target elements and their positions are identified, performing the required operation (like summing the positions) becomes straightforward.