Discussion

Explanation:

If y2 < 40, then Y’s R-index = 87 − y2 > 47; i.e. 47 < Y’s R-index ≤ 87

If y2 > 40, then Y’s R-index = 87 – 40 = 47

∴ 47 ≤ Y’s R-index ≤ 87

Similarly,

23 ≤ K’s R-index ≤ 51

33 ≤ R’s R-index ≤ 55          (∵ r1, s1 < 28 and r1 + s1 ≤ 22)

53 ≤ S’s R-index ≤ 75          (∵ r1, s1 < 28 and r1 + s1 ≤ 22)
82 ≤ V’s R-index ≤ 130       (∵ v3, k3 < 50, v3 + k3 ≤ 48)

∴ Any one of Y, K or R could have the lowest R-index.

Hence, option (a).

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