Concept:A vernier calliper measures length to an accuracy of 0.01cm, so recordings should have two decimal places.Explanation:• Option B: 5.165cm and Option D: 5.160cm suggest a smaller least count than a vernier calliper, e.g. a micrometer screw gauge.• Option C: 5.0cm is too coarse for vernier calliper accuracy.• Option A: 5.16cm is correctly recorded to 0.01cm.Answer:A. 5.16cm