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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 $ 15^{th}$ digit from the left and the $ 11^{th}$ digit from the right?
12
7
11
10
10
To find the Nth digit from the left, count from 7 (left). To find the Nth digit from the right, count from 4 (right).
To find the Nth digit from the left, count from 7 (left). To find the Nth digit from the right, count from 4 (right).
Identify 15th digit from the left
Counting from the left: 7(1), 6(2), 3(3), 9(4), 5(5), 4(6), 4(7), 8(8), 6(9), 4(10), 8(11), 8(12), 9(13), 6(14), 9(15). The 15th digit is 9.
Identify 11th digit from the right
Counting backwards from the right: 4(1), 3(2), 0(3), 5(4), 5(5), 1(6), 5(7), 3(8), 5(9), 1(10), 6(11). The 11th digit is 6.
Calculate the sum
Summing the two digits identified: 9 + 6 = 15.
A: Represents 12, incorrect calculation. B: Represents 7, incorrect digit. C: Represents 11, incorrect digit.
D is correct because the 15th digit from the left is 9 and the 11th digit from the right is 6, which sums to 15.
Always verify the direction (left/right) carefully. A simple trick is to index the sequence mentally if it is short, to avoid skipping any digits during the count.
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