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27 Nov 2016, 22:31
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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:
68% (02:24) correct
32%
(02:11)
wrong
based on 174
sessions
History
Date
Time
Result
Not Attempted Yet
John spent less than Rs. 75 to buy one kilogram each of potato, onion, and gourd. Which one of the
three vegetables bought was the costliest?
A. 2 kgs potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd.
B. 1 kg potato and 2 kgs onion together cost the same as 1 kg onion and 2 kgs gourd
three vegetables bought was the costliest?
A. 2 kgs potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd.
B. 1 kg potato and 2 kgs onion together cost the same as 1 kg onion and 2 kgs gourd
27 Nov 2016, 23:40
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Hi Nailin16,
While solving word problems, the best approach is to introduce variables and translate the question and statements into equations.
The question here tells us that John spent less than Rs. 75 to buy one kilogram each of potato, onion, and gourd. Let the price of potatoes be 'p', the price of onions be 'o' and the price of gourd be 'g'.
So the constraint provided is 1p + 1o + 1g < 75 .
We need to find out which one of the three vegetables p, o and g is the costliest.
Statement 1 : 2 kgs potato and 1 kg gourd cost less than 1 kg potato and 2 kgs gourd.
2p + 1g < 1p + 2g ------> p < g.
Here we just know that the price of potatoes is less than the price of gourd. We do not have any information about the price of onions. Insufficient.
Statement 2 : 1 kg potato and 2 kgs onion together cost the same as 1 kg onion and 2 kgs gourd
1p + 2o = 1o + 2g -----> 1p + 1o = 2g. Substituting this in the constraint 1p + 1o + 1g < 75 we get 2g + 1g < 75 ----> g < 25.
If g < 25 then p + o > 50 and p + o + g < 75. Here we can have p = 26 , o = 25 and g = 23 which makes the potatoes the costliest or we can have p = 25. o = 26 and g = 23 which makes the onions the costliest. Since we do not get a definite answer. Insufficient.
Combining 1 and 2 :
From Statement 1 we have p < g and from statement 2 we have g < 25, since p + o + g < 75 the price of onions will always be greater than 25. Sufficient.
OA : C
CrackVerbal Academics Team
While solving word problems, the best approach is to introduce variables and translate the question and statements into equations.
The question here tells us that John spent less than Rs. 75 to buy one kilogram each of potato, onion, and gourd. Let the price of potatoes be 'p', the price of onions be 'o' and the price of gourd be 'g'.
So the constraint provided is 1p + 1o + 1g < 75 .
We need to find out which one of the three vegetables p, o and g is the costliest.
Statement 1 : 2 kgs potato and 1 kg gourd cost less than 1 kg potato and 2 kgs gourd.
2p + 1g < 1p + 2g ------> p < g.
Here we just know that the price of potatoes is less than the price of gourd. We do not have any information about the price of onions. Insufficient.
Statement 2 : 1 kg potato and 2 kgs onion together cost the same as 1 kg onion and 2 kgs gourd
1p + 2o = 1o + 2g -----> 1p + 1o = 2g. Substituting this in the constraint 1p + 1o + 1g < 75 we get 2g + 1g < 75 ----> g < 25.
If g < 25 then p + o > 50 and p + o + g < 75. Here we can have p = 26 , o = 25 and g = 23 which makes the potatoes the costliest or we can have p = 25. o = 26 and g = 23 which makes the onions the costliest. Since we do not get a definite answer. Insufficient.
Combining 1 and 2 :
From Statement 1 we have p < g and from statement 2 we have g < 25, since p + o + g < 75 the price of onions will always be greater than 25. Sufficient.
OA : C
CrackVerbal Academics Team
01 Dec 2016, 12:51
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I have another approach (looks correct to me)
-Stm1 tells us that g > p --> no suff
-Stm2 tells us that o = 2g - p --> no suff
Together because o = 2g - p but p < g then o > g --> o > g > p --> C
-Stm1 tells us that g > p --> no suff
-Stm2 tells us that o = 2g - p --> no suff
Together because o = 2g - p but p < g then o > g --> o > g > p --> C
mvictor
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Location: United States (IL)
Concentration: Finance, Economics
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GMAT 1: 650 Q49 V30
GPA: 3.92
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11 Apr 2017, 10:41
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we don't even need to know the price for all of them.
1 p<g = no info on o
2 p+o=2g - can't say exactly
1+2
p<g -> o is greatest.
C is the answer.
1 p<g = no info on o
2 p+o=2g - can't say exactly
1+2
p<g -> o is greatest.
C is the answer.
