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Explanation:

Sum of integers from 54 to 196 = (sum of integers from 1 to 196)– (sum of integers from 1 to 53)
Sum from 1 to 196 = (196)(197)/2 = 98 × 197 = 19306

Observe that this value is already less than three out of four options. Hence, it will further decrease when the sum from 1 to 53 is subtracted from it.
 
Hence, the answer should be less than 19306. Only 17875 satisfies this condition.

Hence, option (d).

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