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17 Aug 2023, 01:30
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B
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Difficulty:
35%
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Question Stats:
74% (01:34) correct
26%
(01:51)
wrong
based on 46
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If P and Q are positive integers, is P*Q divisible by 63?
(1) The greatest common factor of P and Q is 6.
(2) The least common multiple of P and Q is 1260.
(1) The greatest common factor of P and Q is 6.
(2) The least common multiple of P and Q is 1260.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
Updated on: 20 Aug 2023, 23:39
Originally posted by AryaSwagat on 20 Aug 2023, 22:18.
Last edited by AryaSwagat on 20 Aug 2023, 23:39, edited 1 time in total.
Last edited by AryaSwagat on 20 Aug 2023, 23:39, edited 1 time in total.
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P and Q are positive integers
GCF of P & Q is 6
LCM of P & Q is 1260
As we know P*Q = LCM * HCF
So P*Q= 9*1260 = 9*4*5*63
As we can see LCM 1260 is already divisible by 63 So a*b must be divisible by 63.
Option B
GCF of P & Q is 6
LCM of P & Q is 1260
As we know P*Q = LCM * HCF
So P*Q= 9*1260 = 9*4*5*63
As we can see LCM 1260 is already divisible by 63 So a*b must be divisible by 63.
Option B
20 Aug 2023, 22:42
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P & Q are +ve integers, is the product divided by 3^2*7?
A. Only the HCF is given, there can be endless possibilities of the product. Insufficient. AD out.
B. LCM is 1260 and can be broken into 2^2*3^2*5*7. Clearly this can be divided by 3^2*7. Sufficient.
B is the answer.
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A. Only the HCF is given, there can be endless possibilities of the product. Insufficient. AD out.
B. LCM is 1260 and can be broken into 2^2*3^2*5*7. Clearly this can be divided by 3^2*7. Sufficient.
B is the answer.
Posted from my mobile device
