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PDF archive of questions from GMATQuantum blog

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GMAT Strategies: Articles from GMATQuantum Blog


GMAT Problem Solving 90: Handshakes and counting

Try this GMAT problem solving question which requires you to count the number of handshakes in a gathering with constraints.

At one of George Washington's parties, each man shook hands with everyone except his spouse, and no handshakes took place between women. If \(13\) married couples attended, how many handshakes were there among these \(26\) people?
  1. \(\quad 78\)

  2. \(\quad 185\)

  3. \(\quad 234\)

  4. \(\quad 312\)

  5. \(\quad 325\)


GMAT Problem Solving 89: Square roots and fractional exponents

Try this GMAT problem solving question which requires you to convert square root terms to exponent forms in algebraic expressions.

Which of the following is equivalent to \(x \sqrt{x}\) ?
  1. \(\sqrt[3]{\sqrt{x^9}}\)
  2. \(\sqrt{\sqrt[4]{x^{12}}}\)
  3. \(\sqrt{\sqrt[3]{x}}\)
  1. I only

  2. I and II only

  3. I and III only

  4. II and III only

  5. I, II, and III


GMAT Problem Solving 88: Sequence product with pattern

Try this GMAT problem solving question which requires figuring out a pattern in the terms involved in a tedious looking product.

The product \(\left(1-\dfrac{1}{2^{2}}\right)\left(1-\dfrac{1}{3^{2}}\right)\ldots\left(1-\dfrac{1}{9^{2}}\right)\left(1-\dfrac{1}{10^{2}}\right)\) equals
  1. \(\quad \dfrac{5}{12}\)

  2. \(\quad \dfrac{1}{2}\)

  3. \(\quad \dfrac{11}{20}\)

  4. \(\quad \dfrac{2}{3}\)

  5. \(\quad \dfrac{7}{10}\)