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A pack has 90 cards. Each card was marke...

A pack has 90 cards. Each card was marked with a different number among 110 to 199. A card was selected at random. Find the probability that the number on it is not a perfect square.

A

`(37)/(45)`

B

`(13)/(15)`

C

`(41)/(45)`

D

`(43)/(45)`

Text Solution

Verified by Experts

The correct Answer is:
D
Among 110 to 199, the perfect squares are 121, 144, 169 and 196. Let the number on the card be x.
Probability (x being a perfect square) `=(4)/(90)=(2)/(45)`
`:.` Required probability `=1-(2)/(45)=(43)/(45)`.
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