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Archive | Integer Properties

Simplifying Radical Expressions on the GMAT

Practice questions Let’s start out with a couple practice questions. 2) What is the length of the diagonal of a square with area 48? The geometry of those questions is not too difficult, but the trick is how to handle those radicals.  If that befuddles you, this is just the post for you.   Distributing […]

Adding and Subtracting Powers on the GMAT

First, consider this practice problem: If this problem makes your head spin, you have found the right blog article! Operations with powers There are legitimate laws of exponents for multiplying and dividing powers. For example: Multiplying powers means add the exponents and dividing powers means subtract the exponents.  For more on this, see this post […]

GMAT Quant: Roots

Master these seemingly intimidating mathematical symbols! Practice Questions First, try these practice questions. 1) The numbers a, b, and c are all non-zero integers. Is a > 0? Statement #1: Statement #2:   2) The numbers a, b, and c are all non-zero integers. Is a > 0? Statement #1: Statement #2:     Square […]

GMAT Quant: Thoughts on Remainders

For a start, give these problems a try.  A complete explanation will come at the end of the discussion.   1) When positive integer N is divided by positive integer J, the remainder is 14.  If N/J = 134.08, what is value of J? (A) 22 (B) 56 (C) 78 (D) 112 (E) 175 2) […]

Exponent Powers on the GMAT

Learn the powerful shortcuts through these problems!   Practice Questions Before reading this post, try these three related practice questions. 1) Is a positive? Statement #1: > a Statement #2:> a 2) Is a positive? Statement #1: > a Statement #2:  < a 3) Is a positive? Statement #1: < a Statement #2:  < a […]