Does set S contain any even numbers

Does set S contain any even numbers?

I. There are no prime numbers in S.

II. There are no multiples of 4 in S.

Ques- The question asks whether there are any even numbers in the set S  so as per stmt I -no primes i.e remaining no’s that can be a part of S (1,4,6,8,9) – Sufficient

stmnt II no multiples of 4 – remaining no’s- – 6,7,10,12 makes the stmnt sufficient

where am i going wrong?

Expert Asked on November 12, 2017 in Data Sufficiency.
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1 Answer(s)

Hi Ria,

This is a YES/NO data sufficiency.  You should always try to disprove and not to prove the statements to be sufficient.

Statement 1 : What is set S has all odd numbers, for eg : (1,3,5,7,9). So it is possible to get a YES and a NO.

Statement 2 : Again we can have a set (1,3,5,7,9). Insufficient.

Combining the statements : Again not sufficient, since we can have any set with fractions or an example of a set with integers (1,9, 15). Note that we have no information about the number of elements in the set.

Hope this helps!

Expert Answered on November 23, 2017.
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