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Explanation:

Suppose 100 MBA applicants were surveyed.

80 of them are good in logical reasoning and 20 are good in quantitative aptitude.

0.87 × 20 ≈ 17 are good in quantitative aptitude and in data interpretation as well.

0.15 × 80 = 12 are good in logical reasoning and in data interpretation as well.

Thus, there are 17 + 12 = 29 MBA applicants those are strong in data interpretation.

Of the 29 MBA applicants 17 are strong in quantitative aptitude.

The required probability = 1729 = 0.58

Hence, option (b).

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