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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 1st digit from the left and the 12th digit from the right?
0
5
4
3
3
Identify the total number of digits and count from both ends as directed. The series has 30 digits. 1st from left is 1. The 12th from right corresponds to index 19 from the left (30 - 12 + 1 = 19).
Identify the total number of digits and count from both ends as directed. The series has 30 digits. 1st from left is 1. The 12th from right corresponds to index 19 from the left (30 - 12 + 1 = 19).
Count elements from left
The series is: 1, 4, 3, 0, 2, 2, 4, 6, 3, 7, 2, 4, 8, 4, 0, 3, 3, 4, 2, 4, 0, 7, 0, 0, 4, 9, 2, 9, 9, 0. The 1st digit from the left is 1.
Count elements from right
The total number of digits is 30. Counting 12 positions from the right: 1st(0), 2nd(9), 3rd(9), 4th(2), 5th(9), 6th(4), 7th(0), 8th(0), 9th(7), 10th(0), 11th(4), 12th(2). The 12th digit from the right is 2.
Calculate the sum
Add the values found: 1 + 2 = 3.
A: Represents 1, which is incorrect. B: Represents 5, which is incorrect. C: Represents 4, which is incorrect.
D is correct because the 1st digit from the left is 1 and the 12th digit from the right is 2, and their sum 1 + 2 equals 3.
Always verify the total count of the series before counting from the right to avoid index errors; using the formula Index(Left) = Total - Index(Right) + 1 is highly efficient.
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