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Question
If t is and odd integer, which of the following must be an even integer?
t-2
2t+3
4t+1
3t+1
ANSWER : 4
Descrption
<p style="margin-left:0px;">Let's analyze each of the given expressions:</p><p style="margin-left:0px;">t - 2: If t is an odd integer, subtracting 2 from it will result in an odd integer minus an even integer, which will always be an odd integer.</p><p style="margin-left:0px;">2t + 3: If t is an odd integer, multiplying it by 2 will result in an even integer. Adding 3 to an even integer will still result in an odd integer.</p><p style="margin-left:0px;">4t + 1: If t is an odd integer, multiplying it by 4 will result in an even integer. Adding 1 to an even integer will result in an odd integer.</p><p style="margin-left:0px;">3t + 1: If t is an odd integer, multiplying it by 3 will result in an odd integer. Adding 1 to an odd integer will result in an even integer.</p><p style="margin-left:0px;">So, among the given options, 3t + 1 must be an even integer when t is an odd integer.</p>
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