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The positive integer q is divisible by 15. If the product of q and the
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13 Sep 2021, 01:31
13 Sep 2021, 01:31
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The positive integer q is divisible by 15. If the product of q and the positive integer x is divisible by 20, which of the following must be a factor of \(x^2q \)?
(A) 25
(B) 60
(C) 75
(D) 150
(E) 300
(A) 25
(B) 60
(C) 75
(D) 150
(E) 300
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: The positive integer q is divisible by 15. If the product of q and the
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13 Sep 2021, 20:12
13 Sep 2021, 20:12
If q is divisible by 3 and 5, then qx must include a factor 4 to be divisible by 20. Hence, \(x^2q \) must include factors 4*4*3*5=4*60. Only answer choice B contains relevant factors.
Posted from my mobile device
Carcass wrote:
The positive integer q is divisible by 15. If the product of q and the positive integer x is divisible by 20, which of the following must be a factor of \(x^2q \)?
(A) 25
(B) 60
(C) 75
(D) 150
(E) 300
(A) 25
(B) 60
(C) 75
(D) 150
(E) 300
Posted from my mobile device
Re: The positive integer q is divisible by 15. If the product of q and the
[#permalink]
13 Sep 2021, 22:49
13 Sep 2021, 22:49
Can someone pls explain this sum?
