Is k a multiple of 14? (1) k 13! (2) k = m!, where m is an integer g

Question

Is k a multiple of 14?

(1) k > 13!
(2) k = m!, where m is an integer greater than 6.

Bunuel · Answer

Is k a multiple of 14?

(1) k > 13! --> there are infinite multiples and non-multiples of 14 greater than any number. Not sufficient.

(2) k = m!, where m is an integer greater than 6 --> k can be 7!, 8!, 9!, 10!, ... In any case it's multiple of both 2 and 7, thus a multiple of 14. Sufficient.

Answer: B.

Hope it's clear.

MarkusKarl · Answer

(1) this simply states that K is larger than 13!. There are several numbers larger that is not divisible by 14. E.g 13!+1.

(2)
K=M!
M is an integer larger or equal to 7(as it was stated that IT is larger than 6 and is an integer).
M!=1*2*3*4*5*6*7....*m
We just need 2 and 7 as provided above.
Sufficient. Answer: B

Posted from my mobile device

Donnie84 · Answer

St1: k > 13!

We are not told that k is an integer. Numerous possibilities galore.
Not sufficient.

St2: k = m!, where m is an integer greater than 6

Let's take m = 7
7! has 2 and 7 so k will be a multiple of 14.

For all integers m > 7, k will at least have a 2 and a 7 so it will always be a multiple of 14.
Sufficient.

Answer (B).

stonecold · Answer

Statement 1 => let K be K!+0.243974979270 => clearly this isn't a multiple of 14
Statement 2 => K must be an integer and k must be at-least 7! because of the ! sign => a 2 and a 7 must be present in K all times.
Suff.
Smash that B

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Is k a multiple of 14? (1) k > 13! (2) k = m!, where m is an integer g

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions