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number properties

Expert replies
by sud21 » Thu Jan 12, 2012 9:42 am
List A contains x1,x2,...., x10; list B contains y1, y2, ...y10, where numbers in B are the remainders when the numbers in A is divided by 2, respectively. What is sum of numbers in B?
1). Sum of numbers in A is 100
2). There are 6 even numbers in B
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Source: — Data Sufficiency |

by neelgandham » Thu Jan 12, 2012 11:11 am
List A contains x1,x2,...., x10; list B contains y1, y2, ...y10, where numbers in B are the remainders when the numbers in A is divided by 2, respectively. What is sum of numbers in B?
1). Sum of numbers in A is 100
Insufficient to answer the question as
A can contain 4 even numbers, 6 odd numbers, The sum of numbers in B is 6
A can contain 6 even numbers, 4 odd numbers, The sum of numbers in B is 4
2). There are 6 even numbers in B
The even numbers in B are 0's, so the rest 4 number are 1's.
sum of numbers in B = 4
Sufficient.

IMO B
Anil Gandham
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