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There is a stack of 150 cards which contains cards numbered from 1 to 150. A card is drawn randomly from this stack. What is the probability that the card drawn is either a square or a cube of a natural number, but not both? 
  • a)
    11/150
  • b)
    1/10
  • c)
    13/150
  • d)
    7/75
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There is a stack of 150 cards which contains cards numbered from 1 to ...
No. of squares from 1to 150=12 (1,4,9,16,25,36,49,64,81,100,121,144)
no. of cubes=5 (1,8,27,64,125)
common 1 and 64 so left are the numbers which are either square or cube of natural number=13
(4,9,16,25,36,49,81,100,121,144,8,27,125)
probability= 13/150
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Community Answer
There is a stack of 150 cards which contains cards numbered from 1 to ...
Total favourable possible nos. = 4, 8, 9, 27, 16, 25, 125, 36, 49, 81, 100, 121, 144
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There is a stack of 150 cards which contains cards numbered from 1 to 150. A card is drawn randomly from this stack. What is the probability that the card drawn is either a square or a cube of a natural number, but not both?a)11/150b)1/10c)13/150d)7/75Correct answer is option 'C'. Can you explain this answer?
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