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C
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Difficulty:
25%
(medium)
Question Stats:
76% (01:33) correct
24%
(01:42)
wrong
based on 194
sessions
History
Date
Time
Result
Not Attempted Yet
What is the remainder when the positive integer X is divided by 12?
(1) When X is divided by 3 the remainder is 2
(2) When X is divided by 4 the remainder is 3
(1) When X is divided by 3 the remainder is 2
(2) When X is divided by 4 the remainder is 3
15 Dec 2014, 10:01
Kudos
Bookmarks
i think the ans is C.
1) reminder when x/3=2
so x can take 5,8,11,14,17,20,23,26,29,32,35,..
Then reminder of x/12= 5,8,11,2,5,8,11...
insufficient
2) reminder when x/4=3
so x can take 3,7,11,15,19,23,27,31,35,39....
Then reminder of x/12= 3,7,11,3,7,11
insufficient
1+2) Common values for x that satify both stmt's are 11,23,35
Then reminder of x/12= 11,11,11
sufficient
Ans C
1) reminder when x/3=2
so x can take 5,8,11,14,17,20,23,26,29,32,35,..
Then reminder of x/12= 5,8,11,2,5,8,11...
insufficient
2) reminder when x/4=3
so x can take 3,7,11,15,19,23,27,31,35,39....
Then reminder of x/12= 3,7,11,3,7,11
insufficient
1+2) Common values for x that satify both stmt's are 11,23,35
Then reminder of x/12= 11,11,11
sufficient
Ans C
17 Dec 2014, 06:33
Kudos
Bookmarks
What is the remainder when the positive integer X is divided by 12?
(1) When X is divided by 3 the remainder is 2 --> x = 3q + 2 --> x could be 2, 5, 8, 11, 14, ... If x is 2, then the remainder upon division x by 12 will be 2 but if x is 5, then the remainder upon division x by 12 will be 5. Not sufficient.
(2) When X is divided by 4 the remainder is 3 --> x = 4p + 3 --> x could be 3, 7, 11, 15, 19, ... If x is 3, then the remainder upon division x by 12 will be 3 but if x is 7, then the remainder upon division x by 12 will be 7. Not sufficient.
(1)+(2) x = 3q + 2 and x = 4p + 3 implies that x = 12n + 11 (for more about deriving general formula check: manhattan-remainder-problem-93752.html#p721341), thus x divided by 12 gives the remainder of 11. Sufficient.
Answer: C.
(1) When X is divided by 3 the remainder is 2 --> x = 3q + 2 --> x could be 2, 5, 8, 11, 14, ... If x is 2, then the remainder upon division x by 12 will be 2 but if x is 5, then the remainder upon division x by 12 will be 5. Not sufficient.
(2) When X is divided by 4 the remainder is 3 --> x = 4p + 3 --> x could be 3, 7, 11, 15, 19, ... If x is 3, then the remainder upon division x by 12 will be 3 but if x is 7, then the remainder upon division x by 12 will be 7. Not sufficient.
(1)+(2) x = 3q + 2 and x = 4p + 3 implies that x = 12n + 11 (for more about deriving general formula check: manhattan-remainder-problem-93752.html#p721341), thus x divided by 12 gives the remainder of 11. Sufficient.
Answer: C.
