Extra GRE Words 180.docx

For exactly the

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baselineShift="superscript">d</span><span baselineShift="superscript">+1</span> For exactly the same reason as in A, <span fontStyle="italic">c</span><span fontStyle="italic" baselineShift="superscript">d</span> <span baselineShift="superscript">+ 1</span> must be odd.</p> <p lineHeight="44">(<span fontStyle="italic">c</span> + 1)<span
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fontStyle="italic" baselineShift="superscript">d</span><span baselineShift="superscript">+1</span> Since <span fontStyle="italic">c</span> is odd, <span fontStyle="italic">c</span> + 1 is even. Then, (<span fontStyle="italic">c</span> + 1)<span fontStyle="italic" baselineShift="superscript">d</span> <span baselineShift="superscript">+ 1</span> is a product each of whose factors is even, and so must be even. It cannot be odd.</p> <p lineHeight="44">(<span fontStyle="italic">c</span> + <span fontStyle="italic">d</span>)<span baselineShift="superscript">(</span><span fontStyle="italic" baselineShift="superscript">c</span><span baselineShift="superscript">+</span><span fontStyle="italic" baselineShift="superscript">d</span><span baselineShift="superscript">)</span> Since <span fontStyle="italic">c</span> and <span fontStyle="italic">d</span> are each odd, <span fontStyle="italic">c</span> + <span fontStyle="italic">d</span> is even, and as in C, (<span fontStyle="italic">c</span> + <span fontStyle="italic">d</span>)<span baselineShift="superscript">(</span><span fontStyle="italic" baselineShift="superscript">c</span> <span baselineShift="superscript">+</span> <span fontStyle="italic" baselineShift="superscript">d</span><span baselineShift="superscript">)</span> must be even. It cannot be odd.</p>
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  • Fall '19
  • Natural number, Odd, span fontStyle, p lineHeight

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