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29 Jan 2025, 01:30
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E
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Difficulty:
15%
(low)
Question Stats:
86% (01:17) correct
14%
(01:01)
wrong
based on 94
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A certain jar contains 20 jellybeans; each jellybean is either black, pink, or yellow. Does the jar contain more pink jellybeans than yellow jellybeans?
(1) The jar contains more black jellybeans than pink jellybeans.
(2) The jar contains 6 pink jellybeans.
(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) The jar contains more black jellybeans than pink jellybeans.
(2) The jar contains 6 pink jellybeans.
(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.
29 Jan 2025, 03:43
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Let the number of Jellybeans be: Black =b, Yellow= y, Pink = p
b+j+p=20
p>y
(1) The jar contains more black jellybeans than pink jellybeans.
This gives b>p
With this information, we can easily make combinations where both p>y and y<p
Hence inconclusive.
(2) The jar contains 6 pink jellybeans.
This only give p=6.
Again we can easily make combinations where both p>y and y<p
Hence inconclusive.
(1) and (2)
p=6 and b>p
Now making combinations:
As we can make both combinations with the given information, hence inconclusive.
IMO Ans E
b+j+p=20
p>y
(1) The jar contains more black jellybeans than pink jellybeans.
This gives b>p
With this information, we can easily make combinations where both p>y and y<p
Hence inconclusive.
(2) The jar contains 6 pink jellybeans.
This only give p=6.
Again we can easily make combinations where both p>y and y<p
Hence inconclusive.
(1) and (2)
p=6 and b>p
Now making combinations:
| p | b | y | p<y |
| 6 | 7 | 7 | Y |
| 6 | 8 | 6 | N |
| 6 | 9 | 5 | N |
As we can make both combinations with the given information, hence inconclusive.
IMO Ans E
29 Jan 2025, 09:59
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We are given that a jar contains 20 jellybeans, each either black, pink, or yellow. We need to determine if there are more pink jellybeans than yellow jellybeans.
Statement (1): The jar contains more black jellybeans than pink jellybeans.
- This gives b > p, but does not provide a direct comparison between pink and yellow jellybeans.
- Insufficient.
Statement (2): The jar contains 6 pink jellybeans.
- This gives p = 6, but we still don’t know how many yellow jellybeans there are.
- Insufficient.
Combining (1) and (2):
- From (1), we know b > p, and from (2), we know p = 6.
- This still doesn’t provide enough information to compare pink and yellow jellybeans.
Conclusion:
Both statements together are still insufficient to determine if there are more pink jellybeans than yellow jellybeans.
Ans E
Statement (1): The jar contains more black jellybeans than pink jellybeans.
- This gives b > p, but does not provide a direct comparison between pink and yellow jellybeans.
- Insufficient.
Statement (2): The jar contains 6 pink jellybeans.
- This gives p = 6, but we still don’t know how many yellow jellybeans there are.
- Insufficient.
Combining (1) and (2):
- From (1), we know b > p, and from (2), we know p = 6.
- This still doesn’t provide enough information to compare pink and yellow jellybeans.
Conclusion:
Both statements together are still insufficient to determine if there are more pink jellybeans than yellow jellybeans.
Ans E
