AP EAMCET · Maths · Probability
A number is selected at random from the set \(\{1,2,3,4, \ldots, 1000\}\), then the probability of getting a number which is a perfect cube or a natural having odd number of divisors is
- A \(\frac{481}{500}\)
- B \(\frac{483}{500}\)
- C \(\frac{19}{500}\)
- D \(\frac{477}{500}\)
Answer & Solution
Correct Answer
(C) \(\frac{19}{500}\)
Step-by-step Solution
Detailed explanation
The perfect cube numbers are in given set \(\{1,2,3,4, \ldots \ldots, 100\}\) are \(1,8,27,64,125,216\), \(343,512,729,1000\) and the natural numbers having odd number of division are perfect square numbers and the perfect square numbers in given set are…
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