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If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:14
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GMATbuster's Weekly Quant Quiz#8 Ques #6 For Questions from earlier quizzes: Click HereIf p Is a positive Integer, what is the units digit of p? 1) p is divisible by 14, 15, 16, and n. 2)\(\frac{p}{(17(25!) )}\)= k, where k Is an Integer.
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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:31
If p Is a positive Integer, what is the units digit of p? 1) p is divisible by 14, 15, 16, and n. 2)p(17(25!))p(17(25!))= k, where k Is an Integer.
Concept: if a number is divisible by 5 and 2 then the unit digit has to be 0.
By that logic:
Stat1: P is div by 14(2) 15(5) Since we have a 2 and 5
We can say it is sufficient
Stat 2:
Since P is divisible by the product of 17*25! We can say the last digit has to be 0.
We can say it is sufficient
Hence Answer D.



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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:34
The answer for this question is A



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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:19
From statement 1:
LCM of 16 and 15 is 240. Hence irrespective of the other number N. Unit digit of P will always be zero. A is sufficient.
From statement 1:
\(\frac{p}{17*25!}\) Then p must be 17*25! or 34*25!
Unit digit is not always the same. Insufficient.
A is the answer.



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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:42
Answer for this question will be A.



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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:53
Answer is A. Posted from my mobile device
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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:56
Stmt 1: p has 2 and 5 as factors. So, units digit will have 0. Hence sufficient.
Stmt 2: Again, p is divisible by 2 and 5, so units digit will have 0. Hence sufficient.
Answer Option D



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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 10:59
Statement 1:
If it has to be divisible by both 16 and 15 then units digit has to be 0 as common multiple for these 2 nos is 240. Hence Unit digit of P will always be zero. Sufficient.
Statement 2
\(\frac{p}{17*25!}\) Then p can be 17*25! 34*25! 68*25! etc
So, Unit digit is not sa,e. Insufficient.
A is the answer.



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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 11:01
OPTION A
1) LCM OF all the values will end in 0 2) P CAN BE 17 OR 25!. SO IT CAN END IN 0 OR 7



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Re: If p Is a positive Integer, what is the units digit of p?
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10 Nov 2018, 11:15
statement1::
lcm of 14,15,16,n = 1080n so p is divisible by 1080n this implies unit digit has to be 0 hence, a is sufficient
statement 2:
25! contains trailing zeros this also implies p must have unit digit 0 hence st 2 is sufficient
both statements are sufficient individually so ans :: D



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Re: If p Is a positive Integer, what is the units digit of p?
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09 Mar 2019, 00:47
nitesh50 wrote: If p Is a positive Integer, what is the units digit of p? 1) p is divisible by 14, 15, 16, and n. 2)p(17(25!))p(17(25!))= k, where k Is an Integer.
Concept: if a number is divisible by 5 and 2 then the unit digit has to be 0.
By that logic:
Stat1: P is div by 14(2) 15(5) Since we have a 2 and 5
We can say it is sufficient
Stat 2:
Since P is divisible by the product of 17*25! We can say the last digit has to be 0.
We can say it is sufficient
Hence Answer D. I too followed your approach, but OA is A. I dont know why? can anyone explain....



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Re: If p Is a positive Integer, what is the units digit of p?
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09 Mar 2019, 19:42
The OA shall be D. The typo has been removed. Thanks for the update. kiran120680 wrote: nitesh50 wrote: If p Is a positive Integer, what is the units digit of p? 1) p is divisible by 14, 15, 16, and n. 2)p(17(25!))p(17(25!))= k, where k Is an Integer.
Concept: if a number is divisible by 5 and 2 then the unit digit has to be 0.
By that logic:
Stat1: P is div by 14(2) 15(5) Since we have a 2 and 5
We can say it is sufficient
Stat 2:
Since P is divisible by the product of 17*25! We can say the last digit has to be 0.
We can say it is sufficient
Hence Answer D. I too followed your approach, but OA is A. I dont know why? can anyone explain.... Posted from my mobile device
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Re: If p Is a positive Integer, what is the units digit of p?
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12 Mar 2019, 04:48
gmatbusters wrote: GMATbuster's Weekly Quant Quiz#8 Ques #6 For Questions from earlier quizzes: Click HereIf p Is a positive Integer, what is the units digit of p? 1) p is divisible by 14, 15, 16, and n. 2)\(\frac{p}{(17(25!) )}\)= k, where k Is an Integer. From statement 1, p must have a 0 in units place because it has 5 in 15 and at least a 2 in 14 or 16 , so the answer for units digit of p is 0 1 is sufficient From statement 2, 25! has a 0 in its units place and p/(17*25!) is an integer so again units digit of p must have a 0. 2 is sufficient therefore, answer is D




Re: If p Is a positive Integer, what is the units digit of p?
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12 Mar 2019, 04:48






