Quantitative Aptitude Ques 614

Question: Cards are drawn at random from a pack of 250 cards numbered 1 to 250. Find the probability of drawing a number which is a perfect cube?

Options:

A) $ \frac{12}{125} $

B) $ \frac{9}{125} $

C) $ \frac{3}{125} $

D) $ \frac{1}{125} $

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Number of ways of selecting 1 card from 250 cards $ ={}^{250}C _1=250 $ The favourable case are {1, 8, 27, 64, 125, 216} =6

$ \therefore $ Required probability $ =\frac{6}{250}=\frac{3}{125} $

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