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Problem Solving (PS) | Re: 12 Days of Christmas GMAT Competition - Day 10: If n is a positive two

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Gmatguy007 wrote:

Bunuel wrote:
12 Days of Christmas 🎅 GMAT Competition with Lots of Questions &Fun

If n is a positive two-digit even integer, which of the following must be a factor of\( (n - 5)(n - 3)(n - 1)(n + 1)(n + 3)(n +5)\) ?

I. 11
II. 21
III. 45

A. I only
B. II only
C. III only
D. II and III only
E. I, II, andIII













 



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­We can see that the expression (n - 5)(n - 3)(n - 1)(n + 1)(n + 3)(n + 5) tells us that n must be a common factor of 3,5 so I think it isC.

GMATCoachBen avigutman KarishmaB Bunuel manasp35 JeffTargetTestPrep  please let me know whether my method is correct Image­

­n can take any value e.g. it could be 14. This question is based on the concept of factors of consecutive integers. 
Say if I have 2 consecutive integers, their product will certainly have 2 as a factor because one of the numbers will be even. Similarly if I have 3 consecutive
...

Statistics : Posted by KarishmaB • on 22 Dec 2023, 07:00 • Replies 9 • Views 1797



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