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31 Jan 2025, 01:30
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C
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Difficulty:
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Question Stats:
83% (01:19) correct
17%
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wrong
based on 110
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The capacity of the river tanker R is 50 percent greater than the capacity of the sea-going tanker S. How many more gallons of oil are currently in tanker R than in tanker S?
(1) Tanker R is 90 percent full; tanker S is 40 percent full.
(2) When full, tanker R contains 40,000 gallons of oil.
(1) Tanker R is 90 percent full; tanker S is 40 percent full.
(2) When full, tanker R contains 40,000 gallons of oil.
31 Jan 2025, 08:52
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R= Capacity of River Tanker
S= Capacity of Sea Tanker
Given R = 1.5 S
How many more gallons of oil are currently in tanker R than in tanker S?
(1) Tanker R is 90 percent full; tanker S is 40 percent full.
This gives us : In River Tanker Actual Quantity= .9 * R = .9*1.5*S
In Sea tanker, Actual Quantity = .4*S
Hence difference= .9*1.5 S - .4 S = (1.34-.4)*S = 0.94*S
As we do not know the value of S, we can't find the number of gallons more.
Hence Insufficient.
(2) When full, tanker R contains 40,000 gallons of oil.
this only gives R = 40,000
Hence Insufficient.
(1) and (2) combined
R = 40,000
hence using R = 1.5 S
S = 2666.67
Hence the difference in gallons = 0.94*S = 25066.67
Hence IMO Ans C
S= Capacity of Sea Tanker
Given R = 1.5 S
How many more gallons of oil are currently in tanker R than in tanker S?
(1) Tanker R is 90 percent full; tanker S is 40 percent full.
This gives us : In River Tanker Actual Quantity= .9 * R = .9*1.5*S
In Sea tanker, Actual Quantity = .4*S
Hence difference= .9*1.5 S - .4 S = (1.34-.4)*S = 0.94*S
As we do not know the value of S, we can't find the number of gallons more.
Hence Insufficient.
(2) When full, tanker R contains 40,000 gallons of oil.
this only gives R = 40,000
Hence Insufficient.
(1) and (2) combined
R = 40,000
hence using R = 1.5 S
S = 2666.67
Hence the difference in gallons = 0.94*S = 25066.67
Hence IMO Ans C
31 Jan 2025, 10:16
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We are asked to determine how many more gallons of oil are currently in tanker R than in tanker S. Let's analyze each statement carefully.
Problem Setup:
- Let the capacity of tanker S be C_S.
- The capacity of tanker R is 50% greater than the capacity of tanker S, so:
C_R = 1.5 * C_S
- The oil in tanker R and S is based on their respective fullness percentages.
We are looking to find the difference in the amount of oil between the two tankers.
Statement (1):
"Tanker R is 90% full; tanker S is 40% full."
- The amount of oil in tanker R is:
Oil in R = 0.90 * C_R = 0.90 * 1.5 * C_S = 1.35 * C_S
- The amount of oil in tanker S is:
Oil in S = 0.40 * C_S
- The difference in oil between tanker R and tanker S is:
Difference = 1.35 * C_S - 0.40 * C_S = 0.95 * C_S
- We don't know C_S, the capacity of tanker S, so the exact number of gallons of oil in both tankers cannot be determined.
- Statement (1) is insufficient.
Statement (2):
"When full, tanker R contains 40,000 gallons of oil."
Alone is not sufficient
Combining both Statement
- From this, we know:
C_R = 40,000 gallons
- Since C_R = 1.5 * C_S, we can solve for C_S:
1.5 * C_S = 40,000 → C_S = 40,000 / 1.5 = 26,666.67 gallons
- Now, calculate the current oil in each tanker:
- The amount of oil in tanker R (90% full):
Oil in R = 0.90 * C_R = 0.90 * 40,000 = 36,000 gallons
- The amount of oil in tanker S (40% full):
Oil in S = 0.40 * C_S = 0.40 * 26,666.67 = 10,666.67 gallons
- The difference in oil between the two tankers is:
Difference = 36,000 - 10,666.67 = 25,333.33 gallons
Thus, the correct answer is (C).
Problem Setup:
- Let the capacity of tanker S be C_S.
- The capacity of tanker R is 50% greater than the capacity of tanker S, so:
C_R = 1.5 * C_S
- The oil in tanker R and S is based on their respective fullness percentages.
We are looking to find the difference in the amount of oil between the two tankers.
Statement (1):
"Tanker R is 90% full; tanker S is 40% full."
- The amount of oil in tanker R is:
Oil in R = 0.90 * C_R = 0.90 * 1.5 * C_S = 1.35 * C_S
- The amount of oil in tanker S is:
Oil in S = 0.40 * C_S
- The difference in oil between tanker R and tanker S is:
Difference = 1.35 * C_S - 0.40 * C_S = 0.95 * C_S
- We don't know C_S, the capacity of tanker S, so the exact number of gallons of oil in both tankers cannot be determined.
- Statement (1) is insufficient.
Statement (2):
"When full, tanker R contains 40,000 gallons of oil."
Alone is not sufficient
Combining both Statement
- From this, we know:
C_R = 40,000 gallons
- Since C_R = 1.5 * C_S, we can solve for C_S:
1.5 * C_S = 40,000 → C_S = 40,000 / 1.5 = 26,666.67 gallons
- Now, calculate the current oil in each tanker:
- The amount of oil in tanker R (90% full):
Oil in R = 0.90 * C_R = 0.90 * 40,000 = 36,000 gallons
- The amount of oil in tanker S (40% full):
Oil in S = 0.40 * C_S = 0.40 * 26,666.67 = 10,666.67 gallons
- The difference in oil between the two tankers is:
Difference = 36,000 - 10,666.67 = 25,333.33 gallons
Thus, the correct answer is (C).
