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10 Jun 2017, 13:58
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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:
55%
(hard)
Question Stats:
60% (01:42) correct
40%
(01:29)
wrong
based on 239
sessions
History
Date
Time
Result
Not Attempted Yet
What is Joe's age (in years)?
(1) The sum of Joe's age (in year's) and Jan's age (in years) is 39
(2) The product of Joe's age (in year's) and Jan's age (in years) is 380
*kudos for all correct solutions
(1) The sum of Joe's age (in year's) and Jan's age (in years) is 39
(2) The product of Joe's age (in year's) and Jan's age (in years) is 380
*kudos for all correct solutions
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10 Jun 2017, 14:31
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Let Joe's age be x and Jan's age be y
(1) The sum of Joe's age (in year's) and Jan's age (in years) is 39
x+y = 39(we can have many ways in which we can fill x and y)
eg 19+20,15+24
Hence, we cannot arrive at an unique age of Joe. Insufficient
(2) The product of Joe's age (in year's) and Jan's age (in years) is 380
x*y = 380(again we have several ways of giving a value of x and y)
eg 19*20,38*10
Hence, we cannot arrive at an unique age of Joe. Insufficient
On combining the two equations,
We prime factorize \(380 = 19*2^2*5\)
Now we have an option 19,20 which will give a sum of 39 and a product of 380
But we cannot be sure which of the ages is Joe's. It could be either of the ages.
Hence since we cannot arrive at an unique solution for the age of Joe, insufficient(Option E)
(1) The sum of Joe's age (in year's) and Jan's age (in years) is 39
x+y = 39(we can have many ways in which we can fill x and y)
eg 19+20,15+24
Hence, we cannot arrive at an unique age of Joe. Insufficient
(2) The product of Joe's age (in year's) and Jan's age (in years) is 380
x*y = 380(again we have several ways of giving a value of x and y)
eg 19*20,38*10
Hence, we cannot arrive at an unique age of Joe. Insufficient
On combining the two equations,
We prime factorize \(380 = 19*2^2*5\)
Now we have an option 19,20 which will give a sum of 39 and a product of 380
But we cannot be sure which of the ages is Joe's. It could be either of the ages.
Hence since we cannot arrive at an unique solution for the age of Joe, insufficient(Option E)
11 Jun 2017, 02:56
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What is Joe's age (in years)?
(1) The sum of Joe's age (in year's) and Jan's age (in years) is 39
Clearly Insufficient
(2) The product of Joe's age (in year's) and Jan's age (in years) is 380
Clearly Insufficient
Combining 1 & 2:
Without rushing to solve, I know that I can setup equation and solve but there is one problem remains: who is older than the other? There is no statement, for example, that Joe is 3 years more than Jan. Hence, we can't know for sure.
Clearly Insufficient
Answer: E
(1) The sum of Joe's age (in year's) and Jan's age (in years) is 39
Clearly Insufficient
(2) The product of Joe's age (in year's) and Jan's age (in years) is 380
Clearly Insufficient
Combining 1 & 2:
Without rushing to solve, I know that I can setup equation and solve but there is one problem remains: who is older than the other? There is no statement, for example, that Joe is 3 years more than Jan. Hence, we can't know for sure.
Clearly Insufficient
Answer: E
