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23 Jan 2025, 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:
35%
(medium)
Question Stats:
77% (01:11) correct
23%
(01:06)
wrong
based on 61
sessions
History
Date
Time
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Not Attempted Yet
A particular yard has a number of apple trees. If during a 6-month period an additional number of apple trees were planted, what is the ratio of the number of apples trees at the end of the 6-month period to the number of apple trees at the beginning of the 6-month period? (Assume that apple trees can be planted or can die at any time.)
(1) The number of apple trees at the beginning of the 6-month period was 6 times the number of apple trees planted during the 6-month period.
(2) No apple trees died during the 6-month period.
(1) The number of apple trees at the beginning of the 6-month period was 6 times the number of apple trees planted during the 6-month period.
(2) No apple trees died during the 6-month period.
23 Jan 2025, 03:38
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We are asked to find the ratio of the number of apple trees at the end of the 6-month period to the number of apple trees at the beginning of the 6-month period.
Let:
B = number of apple trees at the beginning
P = number of apple trees planted during the 6-month period
E = number of apple trees at the end
We need to find E/B.
Statement (1):
The number of apple trees at the beginning of the 6-month period was 6 times the number of apple trees planted during the 6-month period.
- B = 6 * P
- E = B + P = 6 * P + P = 7 * P
- So, E/B = (7 * P) / (6 * P) = 7/6
Conclusion: Statement (1) alone is sufficient to find the ratio.
Statement (2):
No apple trees died during the 6-month period.
- E = B + P
- But we don't know the value of B or P, so we can't calculate the ratio.
Conclusion: Statement (2) alone is insufficient.
Final Answer: (A) Statement (1) alone is sufficient.
Let:
B = number of apple trees at the beginning
P = number of apple trees planted during the 6-month period
E = number of apple trees at the end
We need to find E/B.
Statement (1):
The number of apple trees at the beginning of the 6-month period was 6 times the number of apple trees planted during the 6-month period.
- B = 6 * P
- E = B + P = 6 * P + P = 7 * P
- So, E/B = (7 * P) / (6 * P) = 7/6
Conclusion: Statement (1) alone is sufficient to find the ratio.
Statement (2):
No apple trees died during the 6-month period.
- E = B + P
- But we don't know the value of B or P, so we can't calculate the ratio.
Conclusion: Statement (2) alone is insufficient.
Final Answer: (A) Statement (1) alone is sufficient.
23 Jan 2025, 03:40
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Bunuel
Let initial number of apple trees be x, number of apple trees planted be y and number of apple trees died be z, we are asked -
Ratio = (x + y - z)/x
Statement 1 => x = 6y
Don't know z, hence insufficient.
Statement 2 => z = 0
Don't know anything about x and y, hence insufficient.
Combining both,
x + y - z = 7y = 7x/6
Ratio = (7x/6)/x = 7/6
Hence, sufficient.
IMO: C
