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If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 4835176, what will be the sum of the digits which are second from the left and second from the right?
10
12
11
14
14
Identify only the relevant positions directly: 2nd from left is '8' (even, so 8 - 2 = 6) and 2nd from right is '7' (odd, so 7 + 1 = 8). Sum = 6 + 8 = 14.
Identify only the relevant positions directly: 2nd from left is '8' (even, so 8 - 2 = 6) and 2nd from right is '7' (odd, so 7 + 1 = 8). Sum = 6 + 8 = 14.
Apply Transformation Rules to All Digits
Given rules: Add 1 to each odd digit (+1), subtract 2 from each even digit (-2). Original Number: 4 8 3 5 1 7 6 1st digit (4, Even): 4 - 2 = 2 2nd digit (8, Even): 8 - 2 = 6 3rd digit (3, Odd): 3 + 1 = 4 4th digit (5, Odd): 5 + 1 = 6 5th digit (1, Odd): 1 + 1 = 2 6th digit (7, Odd): 7 + 1 = 8 7th digit (6, Even): 6 - 2 = 4 Transformed Number: 2 6 4 6 2 8 4
Identify Target Digits by Position
Position 2nd from the left in 2 6 4 6 2 8 4 is '6'. Position 2nd from the right in 2 6 4 6 2 8 4 is '8'.
Calculate Required Sum
Sum = (2nd digit from left) + (2nd digit from right) = 6 + 8 = 14.
A: 10 is incorrect (corresponds to using untransformed digits 8 + 2 or wrong calculation), B: 12 is incorrect (miscalculation of positional digits), C: 11 is incorrect (misidentifying positions or arithmetic error).
D is correct because applying -2 to even digit 8 gives 6, and +1 to odd digit 7 gives 8, resulting in a sum of 6 + 8 = 14.
To save exam time, do not transform all digits in the number. Directly target only the specified positions (2nd from left and 2nd from right) and apply operations specifically to them.
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