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To solve this data sufficiency question let's consider each statement separately first then together if necessary for this question we want to know if this expression B times T to the XY power is an even number given that X Y B and T are all positive integers so before we look at the statements let's first examine this expression B times T to the XY power B times T to the XY power is going to be even if either B is even or T is even so if we can conclude that either B is even or T is even that's going to be enough to answer the question and we'll have sufficient information so now let's look at the statements statement one says that 3.5 t minus 2 is even that's equivalent to seven halves t minus 2 is even which means that seven halves t is even because subtracting 2 from the even number will give us an even number so if seven halves T is even then we can conclude the t is even statement one alone is sufficient that means we can eliminate choices b c and e now we're down to choices a and d let's examine statement two and see if we can get somewhere statement two says B over T is even well if that's the case that B has to be a multiple of two T if B is a multiple of two T then it follows that B has to be even and once again we have sufficient information to conclude that B times T to the XY power is an even number so statement two is also sufficient so we can eliminate choice a and the correct answer is gonna be choice D each statement alone is sufficient it's worth noticing by the way that we didn't really even need the information about X being 1 over 5 plus 2 or T being B over 7 plus 4 we didn't need that information to solve a problem we could do it much faster without even using that.