Given below are two statements. In the light of the above statements, choose the most appropriate answer from the options given below.

Statement I:The sum of the integers from 110 to 630 is over 300,000.

Statement II:The ratio of the circumference of a circle to its area is inversely proportional to its diameter.

ABoth Statement I and Statement II are correct

BBoth Statement I and Statement II are incorrect

CStatement I is correct but Statement II is incorrect

DStatement I is incorrect but Statement II is correct ✓ Correct

Correct answer: (D) Statement I is incorrect but Statement II is correct

Explanation

Statement 1 is incorrect and Statement 2 is correct.

Statement 1: from 110 to 630 there are 521 terms.

Sum = 521 x (110 + 630)/2 = 521 x 370 = 192770, under 300000.

Statement 2: circumference/area = 2 pi r/(pi r^2) = 2/r = 4/diameter.

This varies as 1/diameter, so it is inversely proportional.

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