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Pr4n
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Hi Pr4n,

I think you should spend some time engaging in topical practice which will help you locate and fix content gaps that may be slowing you down. As you fill those gaps you’ll develop the ability to a) quickly recognize and then b) execute a plan of attack when solving problems.

For example, take the quant topic of units digit patterns. While such a topic may seem challenging at first, imagine how “automatic” answering units digit pattern questions will be if you learn about the concepts related to those questions, and then practice numerous units digit patterns questions. You’ll easily recognize when you have a units digit pattern question and quickly execute when solving the problem.

What is the units digit of 3^22

(A) 9
(B) 7
(C) 3
(D) 1
(E) 0

Solution:

Recognition: If you have spent time mastering units digits patterns, you’ll get a big smile on your face when you see this problem!

Execution: Because you have a units digits pattern question, you execute by recalling and using the pattern for positive integer powers of 3.

Now, let’s discuss how to solve the above problem.

Recall that the pattern for the units digits of powers of 3 is 3-9-7-1. In this pattern, every power to which 3 is raised that is a multiple of 4 has a units digit of 1.

We need to determine the units digit of 3^22.

First, we note that the units digit of 3^20 must be 1, since the exponent 20 is a multiple of 4. Next, the units digit of 321 must be the next number in the pattern, which is 3. And finally, the units digit of 322 is the next number in the pattern, which is 9.

Answer: A

For some more advice, feel free to check out this article:

How to Get Faster at GMAT Quant Questions
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