What is the tens digt of positive integer x
(1) x divided by 100 has a remainder of 30
(2) x divided by 110 has a remander of 30
IMO: A
Tens digit
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- rijul007
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1.
x divided by 100 , remainder 30
x = 130, 230, 330, 430,....
Tens digit = 3
Sufficient
2.
x divided by 110, remainder 30
x= 140,250,360,...
Tens digit = 4/5/6/...
Insufficient
Option A
x divided by 100 , remainder 30
x = 130, 230, 330, 430,....
Tens digit = 3
Sufficient
2.
x divided by 110, remainder 30
x= 140,250,360,...
Tens digit = 4/5/6/...
Insufficient
Option A
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As rijul007 showed, listing possible values of x is a great approach here.gmatblood wrote:What is the tens digt of positive integer x
(1) x divided by 100 has a remainder of 30
(2) x divided by 110 has a remander of 30
IMO: A
To answer questions involving remainders, it's useful to be able to list possible values. So, here's the rule for this:
If N/D has remainder R, then the possible values of N = R, R+D, R+2D, R+3D, . . .
Note: N,D and R are non-negative integers.
Example: If N divided by 7 has remainder 3, then the possible values of N are as follows: 3, 10, 17, 24, 31, 38, etc
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Brent
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Hi All,
We're told that X is a positive integer. We're asked for the TENS DIGIT of X. This question can be solved by TESTing VALUES.
1) X divided by 100 has a remainder of 30
IF....
X = 30, then 30/100 = 0 r 30 and the answer to the question is 3
X = 130, then 130/100 = 1 r 30 and the answer to the question is 3
X = 230, then 230/100 = 2 r 30 and the answer to the question is 3
Etc.
Based on the information in Fact 1, the answer to the question is ALWAYS 3.
Fact 1 is SUFFICIENT
2) X divided by 110 has a remander of 30
IF....
X = 30, then 30/110 = 0 r 30 and the answer to the question is 3
X = 140, then 140/110 = 1 r 30 and the answer to the question is 4
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
We're told that X is a positive integer. We're asked for the TENS DIGIT of X. This question can be solved by TESTing VALUES.
1) X divided by 100 has a remainder of 30
IF....
X = 30, then 30/100 = 0 r 30 and the answer to the question is 3
X = 130, then 130/100 = 1 r 30 and the answer to the question is 3
X = 230, then 230/100 = 2 r 30 and the answer to the question is 3
Etc.
Based on the information in Fact 1, the answer to the question is ALWAYS 3.
Fact 1 is SUFFICIENT
2) X divided by 110 has a remander of 30
IF....
X = 30, then 30/110 = 0 r 30 and the answer to the question is 3
X = 140, then 140/110 = 1 r 30 and the answer to the question is 4
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich