question_answer

From a packet of 250 cards numbered as 1 to 200, some cards are picked randomly. What is the probability of picking a number which is the perfect cube?     

A)                            \[\frac{1}{125}\]          

B)  \[\frac{2}{125}\]

C)  \[\frac{3}{125}\]          

D)  None of these    

Correct Answer: D

Solution :

Area of shaded part = Area of square \[-\] Area of circle \[={{(2a)}^{2}}-\pi {{r}^{2}}=4{{a}^{2}}-\frac{22}{7}{{a}^{2}}=\frac{28{{a}^{2}}-22{{a}^{2}}}{7}=\frac{6{{a}^{2}}}{7}\]