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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:
71% (02:17) correct
29%
(02:08)
wrong
based on 205
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History
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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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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.
