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Refer to the given series and answer the question that follows (all numbers are single-digit numbers only).
What is the sum of the $ 10^{\text{th}}$ digit from the left and the $ 12^{\text{th}}$ digit from the right?
4
3
2
1
3
To find the n-th term from the right in a series of length L, calculate the position from the left using (L - n + 1).
To find the n-th term from the right in a series of length L, calculate the position from the left using (L - n + 1).
Identify the Series Length
The given series is: 5, 1, 9, 4, 7, 7, 1, 4, 4, 1, 2, 8, 5, 4, 2, 6, 0, 3, 2, 2, 9, 3, 5, 4, 4, 6, 4, 5, 4, 7. Counting the elements, there are 30 digits total.
Locate 10th Digit from Left
Counting from the left: 1st=5, 2nd=1, 3rd=9, 4th=4, 5th=7, 6th=7, 7th=1, 8th=4, 9th=4, 10th=1.
Locate 12th Digit from Right
The 12th digit from the right is the (30 - 12 + 1) = 19th digit from the left. Counting: 11th=2, 12th=8, 13th=5, 14th=4, 15th=2, 16th=6, 17th=0, 18th=3, 19th=2.
Calculate Sum
The 10th digit from the left is 1 and the 12th digit from the right is 2. Sum = 1 + 2 = 3.
A: Represents the sum 4, incorrect. C: Represents the sum 2, incorrect. D: Represents the sum 5, incorrect.
B is correct because the 10th digit from the left is 1 and the 12th digit from the right is 2, making their sum 3.
Always verify the total count of the series first, as miscounting the length leads to incorrect positional identification.