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GMAT Problem Solving Question 52: Prime factors

March 14, 2023 Leave a Comment

 
Try the following GMAT Problem Solving question on finding prime factors of a summation.

Question 52:

If $S$ is the sum of the first fifty positive integers, then what is the sum of all the distinct prime factors of $S$ ?

  1. $\quad 20$
  2. $\quad 25$
  3. $\quad 32$
  4. $\quad 41$
  5. $\quad 56$

Choice B

Video Explanation

 

Filed Under: GMAT Practice Questions

Prime numbers, factorials, and divisibility: Q51 GMAT lesson

March 7, 2023 Leave a Comment

 

In this lesson I go over three key concepts in Number Theory that have been tested in different forms on the GMAT. I have created this video for students who are targeting a high score of Q51 on the GMAT quantitative reasoning section.

Q51 GMAT Lesson: Prime numbers, factorials, and divisibility

 

The links below take you to the questions from Official GMAT sources that are relevant to the concepts discussed in this video. Please note that Link 1 and Link 2 are from the database of questions in GMAT Exam 1 and Exam 2 (the two free exams from GMAC on mba.com), and you should not attempt these unless you have already taken those two tests.

  • Link 1 From GMAT Exam 1 and 2: Factorial divisibility
  • Link 2 From GMAT Exam 1 and 2: Prime factor of a large number
  • Link 3 GMAT Official Guide 2022 Problem Solving 148 (PS02704) also present in older guides

 

Filed Under: GMAT Lessons

Product of consecutive integers: Q51 GMAT lesson

March 1, 2023 Leave a Comment

 
In this video lesson I discuss how the GMAT tests the properties of products of consecutive integers. I have created this video for students who are targeting a high score on the GMAT quantitative reasoning section, specifically for those targeting a score of Q51.

Q51 GMAT Lesson: Product of Consecutive Integers

 

Filed Under: GMAT Lessons

How GMAT Data Sufficiency questions trap you

February 23, 2023 Leave a Comment

 
In this video I discuss how GMAT data sufficiency questions trap a test taker and what you can do to avoid the traps.

 

Filed Under: GMAT Strategy

GMAT Problem Solving Question 51: Undefined expressions

February 14, 2023 Leave a Comment

 
Try the following GMAT Problem Solving question on conditions under which algebraic expressions are undefined.

Question 51:

For what real values of $x$ is the expression $\dfrac{3(x+3)}{(x-1)(x+2)}$ not defined ?

  1. $\quad x=-3 \; \textrm{only}$
  2. $\quad x=-2 \; \textrm{only}$
  3. $\quad x=1 \; \textrm{only}$
  4. $\quad x=-2 \; \textrm{or} \; 1 \; \textrm{only}$
  5. $\quad x=-3, -2, \textrm{or} \; 1 $

Choice D

Video Explanation

 

Filed Under: GMAT Practice Questions

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