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If x is divisible by both 3 and 4, then the number x must be [#permalink]
20 Apr 2018, 11:24
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If x is divisible by both 3 and 4, then the number x must be a multiple of which one of the following? (A) 8 (B) 12 (C) 15 (D) 18 (E) 21
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Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
08 May 2018, 03:54
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I got the answer right but I belive the way I made my pattern for the solution of this question is was pedestrian if anyone could solve it in a more slick manner then it is most welcome.
For me I made two equation
X=3k+0eq 1 X=4K+0 now multile of 3 as per eq 1 are as follows 3,6,9,12,15,18,21,24,27,30 as we can see 12 and 24 can be dividend completely by 12 which is 3*4 hence I chose the answer B..
this took TIME ..any shortcut pls welcome
Last edited by IshanGre on 09 May 2018, 05:14, edited 1 time in total.



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Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
08 May 2018, 12:22
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3*4=12 122448......and so forth B is the answer. OR The only number that has 3 and 4 as factors among the answer choices is 12. The others do not. OR because the factors are 3 and 4 the number must be even. So, C and E are out. 8 is 2^3 and 18 is 3^2 * 2. In 8 is missing the 3 and in the latter is missing the 4. Hope is clear now. Regards
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Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
08 May 2018, 19:39
this means number x is a multiple of 12 (answer), 3 and 4, right?



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Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
09 May 2018, 05:19
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kruttikaaggarwal wrote: this means number x is a multiple of 12 (answer), 3 and 4, right? Yeah right , because if a number is a multiple of any two number then those numbers must be its factors ..hence in this case least common multiple of 3 and 4 is 12 .. X has to be a multiple of 12.



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Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
09 May 2018, 05:21
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Carcass wrote: 3*4=12
122448......and so forth
B is the answer.
OR
The only number that has 3 and 4 as factors among the answer choices is 12. The others do not.
OR
because the factors are 3 and 4 the number must be even. So, C and E are out. 8 is 2^3 and 18 is 3^2 * 2. In 8 is missing the 3 and in the latter is missing the 4.
Hope is clear now.
Regards I like your second approach ..this comes by being mindful of the question asked. KUDOS.




Re: If x is divisible by both 3 and 4, then the number x must be
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09 May 2018, 05:21





