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05 Dec 2017, 21:55
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:00) correct
22%
(01:18)
wrong
based on 82
sessions
History
Date
Time
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Not Attempted Yet
If x is an integer, is x^3 divisible by 49?
(1) x is divisible by 8.
(2) x is divisible by 14.
(1) x is divisible by 8.
(2) x is divisible by 14.
05 Dec 2017, 22:00
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IMO B
From st1 x can be any value. For example x can be 16 and it will satisfy the statement but not the question stem. If x is 56 it will satisfy both the statement as well as question stem. Hence insufficient.
From st2 we can have x as 14, 28, 42 etc. all of them are multiples of 7. So x^3 is always divisible by 49. Hence sufficient
Sent from my iPhone using GMAT Club Forum
From st1 x can be any value. For example x can be 16 and it will satisfy the statement but not the question stem. If x is 56 it will satisfy both the statement as well as question stem. Hence insufficient.
From st2 we can have x as 14, 28, 42 etc. all of them are multiples of 7. So x^3 is always divisible by 49. Hence sufficient
Sent from my iPhone using GMAT Club Forum
06 Dec 2017, 04:07
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For x^3 to be divisible by 49, it has to be a multuple of 7^2
(1) This statement gives us information that x is a multiple of 2^3, but no information about 7^2
Insufficient
(2) Aftyer prime factorization of 14=2*7 we understand that x is a multiple of 7, hence x^3 will have 3 powers of 7 and thus is divisible by 7^2.
Answer should be B
(1) This statement gives us information that x is a multiple of 2^3, but no information about 7^2
Insufficient
(2) Aftyer prime factorization of 14=2*7 we understand that x is a multiple of 7, hence x^3 will have 3 powers of 7 and thus is divisible by 7^2.
Answer should be B
if it help 
