When the positive number $a$ is rounded to the nearest tenth, the result is the number $b.$ What is the tenths digit

When the positive number $a$ is rounded to the nearest tenth, the result is the number $b.$ What is the tenths digit of $a?$

(1) When $a$ is rounded to the nearest integer, the result is less than $a.$

(2) When $b$ is rounded to the nearest integer, the result is greater than $b.$

Answer: C

Source: Manhattan GMAT

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