Letter Series Analysis

This question asks us to locate a specific letter within a given sequence based on positional instructions. We need to carefully count positions from both the right and left ends of the series.

The provided letter series is:

$P S R U B K C A Z E Y L A P Q F A T L B$

Counting Letters in the Series

First, let's count the total number of letters in the given series. By counting each letter, we find there are 20 letters in total.

• Total Letters ($N$): 20

Finding the Eighth Letter from the Right

The question requires us to find the eighth letter from the right. We can determine this by counting backwards from the last letter.

Let's list the letters from right to left:

• B (1st from right)
• L (2nd from right)
• T (3rd from right)
• A (4th from right)
• F (5th from right)
• Q (6th from right)
• P (7th from right)
• A (8th from right)

Alternatively, we can calculate the position of the required letter from the left end. The formula to find the position from the left for the $k^{th}$ letter from the right in a series of $N$ letters is: $\text{Position from left} = N - k + 1$.

Here, $N = 20$ (total letters) and $k = 8$ (position from the right).

Position from left = $20 - 8 + 1 = 13$.

Let's confirm by numbering the series from the left:

P(1) S(2) R(3) U(4) B(5) K(6) C(7) A(8) Z(9) E(10) Y(11) L(12) A(13) P(14) Q(15) F(16) A(17) T(18) L(19) B(20)

As confirmed, the eighth letter from the right is 'A', located at the 13th position from the left.

Determining the Fifth Letter to the Right

Next, we need to find the letter that is fifth to the right of the letter 'A' (which we found to be the 8th from the right).

The letter 'A' is at the 13th position from the left.

To find the letter fifth to its right, we simply add 5 to its current position:

Target Position = Position of 'A' + 5

Target Position = $13 + 5 = 18$.

Now, we need to identify the letter at the 18th position from the left in the series:

P(1) S(2) R(3) U(4) B(5) K(6) C(7) A(8) Z(9) E(10) Y(11) L(12) A(13) P(14) Q(15) F(16) A(17) T(18) L(19) B(20)

The letter at the 18th position is 'T'.

Final Answer

Therefore, the letter that is fifth to the right of the eighth letter from the right in the given series is 'T'.