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10 Dec 2016, 06:23
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B
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If k and p are positive integers and k is a multiple of 6, is kp a multiple of 210?
(1) p is a multiple of 15.
(2) k is a multiple of 35.
(1) p is a multiple of 15.
(2) k is a multiple of 35.
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10 Dec 2016, 11:33
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Bunuel
Is kp=210*x
210=7*3*2*5
thus kp should have atleast one no. 2,3,5,7
(1) p=15x=3*5*x
as k=6*y
kp=3*5*2*3*x*y
if x or y=7 then yes else no-------insuff
(2) k=35*x == 7*5*x
also k=6*y == 2*3*y
thus kp = 2*3*5*7*x*y*p == 210*x*y*p-----suff
Ans B
12 Dec 2016, 04:12
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If k and p are positive integers and k is a multiple of 6, is kp a multiple of 210?
(1) p is a multiple of 15.
(2) k is a multiple of 35.
-Value of k and p are greater than zero as they are positive integers and zero is neither negative nor positive.
-k is a multiple of 6. It means k is divisible by 6 and thus have prime factors 2 and 3 (2*3=6)
To find: kp a multiple of 210 or not?
210 can be written as 2^1*3^1*5^1*7^1 (Prime factors)
We already know that k has 2^1 and 3^1 as prime factors. So we just have to find whether 5 and 7 are prime factors of k or p or both.
Statement 1: p is a multiple of 15. Therefore, p has 3 and 5 as its prime factors. But no information about 7?
Insufficient. BCE
Statement 2: k is a multiple of 35. Therefore, k has 5 and 7 as its prime factors. Its sufficient.
Thus kp is a multiple of 210.
B
(1) p is a multiple of 15.
(2) k is a multiple of 35.
-Value of k and p are greater than zero as they are positive integers and zero is neither negative nor positive.
-k is a multiple of 6. It means k is divisible by 6 and thus have prime factors 2 and 3 (2*3=6)
To find: kp a multiple of 210 or not?
210 can be written as 2^1*3^1*5^1*7^1 (Prime factors)
We already know that k has 2^1 and 3^1 as prime factors. So we just have to find whether 5 and 7 are prime factors of k or p or both.
Statement 1: p is a multiple of 15. Therefore, p has 3 and 5 as its prime factors. But no information about 7?
Insufficient. BCE
Statement 2: k is a multiple of 35. Therefore, k has 5 and 7 as its prime factors. Its sufficient.
Thus kp is a multiple of 210.
B
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
