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Question

A card is drawn at random from a pack of 900 cards numbered 101 to 1000. The probability of getting a number which is a perfect square as well as a perfect cube is

A
1900
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B
1450
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C
1300
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D
1225
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Solution

The correct option is A 1900

Total number of cards = 900
From the numbers, 101 to 1000, only 729 is the number which is a perfect square as well as a perfect cube as, 272=93=729.
Number of favourable outcomes=1
Required Probability=Number of favourable outcomesTotal number of outcomes
=1900
Hence, the correct answer is option (a).

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