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The pdf file above contains all of the questions published in the GMATQuantum blog. Please download the file and then open it in Adobe Acrobat Reader for all of its features to work properly.

Wednesday
Oct042017

GMAT Problem Solving 87: Circle surrounded by circles

Try this GMAT problem solving question on a circle surrounded by four circles that are tangent to each other.

In the figure shown below, a circle of radius $$1$$ is surrounded by $$4$$ circles of radius $$r$$. What is $$r$$ ?
1. $$\quad \sqrt{2}$$

2. $$\quad 1+\sqrt{2}$$

3. $$\quad \sqrt{6}$$

4. $$\quad 3$$

5. $$\quad 2+\sqrt{2}$$

Tuesday
Sep122017

GMAT Problem Solving 86: Triple Venn diagram problem

Try this GMAT problem solving question on triple Venn diagrams. There is no need to memorize the formula for triple Venn diagram problems because there are too many variations on the GMAT and it is best to have a general approach in place.

Each of the $$100$$ students in a certain summer camp can either sing, dance, or act. Some students have more than one talent, but no student has all three talents. There are $$42$$ students who cannot sing, $$65$$ students who cannot dance, and $$29$$ students who cannot act. How many students have two of these talents?
1. $$\quad 16$$

2. $$\quad 25$$

3. $$\quad 36$$

4. $$\quad 49$$

5. $$\quad 64$$

Tuesday
Aug222017