I think the answer is (c). First draw a picture of a circle and mark the points P and O(centre). Now convince yourself that the shortest length chord passing through P is the one thats perpendicular to OP.Now compute the length of the chord through Pythogorus theorem. The chord length will be 42. SInce the largest length chord is the diameter, length of the largest length chord through P is 58. Thus the chords range from 42 to 58. Nowyou will see that the number of chords is two times the number of chords on one side and the answer is 32if you carefully count