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25 Oct 2022, 03:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
29% (02:09) correct
71%
(01:48)
wrong
based on 79
sessions
History
Date
Time
Result
Not Attempted Yet
If oil and water are mixed in the ratio 1 : 1 in a beaker, filling it to its capacity, the weight
of the beaker and its contents is 102 grams, by what percent is water heavier than oil?
(1) The combined weight of oil and water mixed in the ratio 2 : 3 in the same beaker as
above is 104 grams.
(2) The combined weight of oil and water mixed in the ratio 3 : 2 in the same beaker as
above is 100 grams.
of the beaker and its contents is 102 grams, by what percent is water heavier than oil?
(1) The combined weight of oil and water mixed in the ratio 2 : 3 in the same beaker as
above is 104 grams.
(2) The combined weight of oil and water mixed in the ratio 3 : 2 in the same beaker as
above is 100 grams.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
26 Oct 2022, 01:14
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Let the weight of oil be o grams/lit
Let the weight of water be w grams/lit
Let the weight of the beaker be b grams.
Let the total capacity of the beaker be C lit.
To find : (w-o)/o * 100
Given : oil = c/2 lit water = c/2 lit
Total weight = o*c/2 + w*c/2 + b
Oc/2 + wc/2 + b = 102 ------------ 1
Statement 1: oil = 2c/5 water 3c/5
2oc/5 + 3wc/5 + b = 104 -------------2
Subtract equations 1 and 2
-oc/10 + wc/10 = 2
Wc – oc = 20
We don’t get the answer
Statement 2 : oil = 3c/5 water = 2c/5
3oc/5 + 2wc/5 + b = 100 -------------- 3
Subtract equations 1 and 3
-oc/10 + wc/10 = 2
Wc – oc = 20
We don’t get the answer
Combine Statements 1 and 2:
We get the same equation from both the conditions
So, we don’t get the answer
Answer: E
Let the weight of water be w grams/lit
Let the weight of the beaker be b grams.
Let the total capacity of the beaker be C lit.
To find : (w-o)/o * 100
Given : oil = c/2 lit water = c/2 lit
Total weight = o*c/2 + w*c/2 + b
Oc/2 + wc/2 + b = 102 ------------ 1
Statement 1: oil = 2c/5 water 3c/5
2oc/5 + 3wc/5 + b = 104 -------------2
Subtract equations 1 and 2
-oc/10 + wc/10 = 2
Wc – oc = 20
We don’t get the answer
Statement 2 : oil = 3c/5 water = 2c/5
3oc/5 + 2wc/5 + b = 100 -------------- 3
Subtract equations 1 and 3
-oc/10 + wc/10 = 2
Wc – oc = 20
We don’t get the answer
Combine Statements 1 and 2:
We get the same equation from both the conditions
So, we don’t get the answer
Answer: E
26 Oct 2022, 06:12
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gvishesh21
The common mistake is that ppl intend to ignore the ratio; They just assume w+o =102; 2o+3w=100; This gives option D, But when you solve the equation this will lead to no conclusive answer
hence E
