If P is a digit such that 6954P is divisible by 11, then find the value of P.

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To check divisibility by 11, the difference between the sum of digits in odd positions and the sum of digits in even positions must be a multiple of 11 (including 0).

Number: 6 9 5 4 P
Positions: 1 2 3 4 5 (from left to right)

Sum of digits in odd positions = 6 + 5 + P = 11 + P
Sum of digits in even positions = 9 + 4 = 13

Difference = (11 + P) - 13 = P - 2

For divisibility by 11, P - 2 must be divisible by 11.

Possible values for P - 2 are 0, ±11, ±22, ...
Since P is a single digit (0 to 9), P - 2 = 0
=> P = 2

Therefore, P = 2.

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