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09 May 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:16) correct
28%
(02:09)
wrong
based on 186
sessions
History
Date
Time
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Not Attempted Yet
Each candle in a particular box is either round or square and either scented or unscented. If 60% of the candles are round, what is the probability that a candle selected randomly from the box will be unscented?
(1) If a candle is scented, it has an 80% chance of being round.
(2) If a candle is square, it has a 25% chance of being scented.
(1) If a candle is scented, it has an 80% chance of being round.
(2) If a candle is square, it has a 25% chance of being scented.
09 May 2024, 02:26
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Bunuel
| Round | Sqaure | Total | |
|---|---|---|---|
| scented | 60 | ||
| unscented | x | ||
| Total | 100 |
Question: x/100 = ?
Statement 1: If a candle is scented, it has an 80% chance of being round.
=medium
| Round | Sqaure | Total | |
|---|---|---|---|
| scented | 60=0.8y | y | |
| unscented | x | ||
| Total | 100 |
i.e. 0.8y = 60
y = 75
i.e. x = 100-75 = 25
SUFFICIENT
Statement 2: If a candle is square, it has a 25% chance of being scented.
=medium
| Round | Sqaure | Total | |
|---|---|---|---|
| scented | 60 | 0.25z | |
| unscented | x | ||
| Total | z | 100 |
NOT SUFFICIENT
Answer: Option A
09 May 2024, 03:15
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I think it's C.
lets assume total 100x 60% round (60x) rest are square that is (40x). moving to 2nd condition 25% of squares are scented so 10x are square scented and 30x unscented. now if we move to 1st condition we can deduce that the remaining 20% of scented are squares. So, if 10x is 20% of value that means 80% is 40x (scented round). and unscented round will become 20x (60x-40x) so both scented and unscented are in total 50x each. Thats how i approached to the question please let me know if anything is wrong here.
lets assume total 100x 60% round (60x) rest are square that is (40x). moving to 2nd condition 25% of squares are scented so 10x are square scented and 30x unscented. now if we move to 1st condition we can deduce that the remaining 20% of scented are squares. So, if 10x is 20% of value that means 80% is 40x (scented round). and unscented round will become 20x (60x-40x) so both scented and unscented are in total 50x each. Thats how i approached to the question please let me know if anything is wrong here.
