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PDF archive of questions from GMATQuantum blog

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GMAT Strategies: Articles from GMATQuantum Blog


GMAT Problem Solving 94: Sphere, circles, and triangles

Try this GMAT problem solving question that relies on a identifying circles and creating right triangles.

A ball was floating in a lake when the lake froze. The ball was removed (without breaking the ice), leaving a hole \(24\) cm across at the top and \(8\) cm deep. What was the radius of the ball (in centimeters)?

  1. \(\quad 8 \)

  2. \(\quad 12 \)

  3. \(\quad 13 \)

  4. \(\quad 8\sqrt{3}\)

  5. \(\quad 6\sqrt{6} \)

Video Explanation


GMAT Problem Solving 93: Intersection of Rectangle and a Circle

Try this GMAT problem solving question that tests your understanding of rectangles, circles, arcs, and standard right triangles.

An \(8\) by \(2\sqrt{2}\) rectangle has the same center as a circle of radius \(2\). The area of the region common to both the rectangle and the circle is

  1. \(\quad 2\pi \)

  2. \(\quad 2\pi + 2 \)

  3. \(\quad 4\pi - 4 \)

  4. \(\quad 2\pi + 4\)

  5. \(\quad 4\pi - 2 \)


GMAT Data Sufficiency 92: Absolute value inequalities

Try this GMAT data sufficiency question which requires you to use the concepts of absolute value inequalities and interpreting the absolute value expressions geometrically.

Is \(xy < 0\) ?

  1. (1) \( ||x|-|y|| < |x-y| \)

  2. (2) \(|x| + |y| > |x+y|\)
  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  4. EACH statement ALONE is sufficient.
  5. Statements (1) and (2) TOGETHER are NOT sufficient.