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27 Feb 2011, 21:38
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GMAT Club > Tests > m14 (Q21)
If a and b are positive integers, is 10^a + b divisible by 3?
1. b/2 is an odd integer.
2. the remainder of b/10 is b.
Statements (1) and (2) combined are insufficient. Consider b=2(the answer is "yes") and b=6 (the answer is "no").
The correct answer is E.
Can anyone help me out in solving this, I feel answer is C.
Would be true only for b=2 in common.
If a and b are positive integers, is 10^a + b divisible by 3?
1. b/2 is an odd integer.
2. the remainder of b/10 is b.
Statements (1) and (2) combined are insufficient. Consider b=2(the answer is "yes") and b=6 (the answer is "no").
The correct answer is E.
Can anyone help me out in solving this, I feel answer is C.
Would be true only for b=2 in common.
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27 Feb 2011, 22:09
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Statement 1 tells us that b is an even integer of the form odd*2, so b can be 2, 6, 10 etc.. Lets say a = 1, then 10^a+b is divisible by 3 when b is 2 but not when b is 6 so insufficient.
Statement 2 tells us that b is less than 10, but then b can be 1,2,3 etc. and divisibility of 10^a+b for these values of b would be different (yes as well as No) so insufficient.
Combining 1 and 2 will give that b can be 2 or 6 but the answer for divisibility is different for 2 and 6, so insufficient once again.
Hence answer is E.
Statement 2 tells us that b is less than 10, but then b can be 1,2,3 etc. and divisibility of 10^a+b for these values of b would be different (yes as well as No) so insufficient.
Combining 1 and 2 will give that b can be 2 or 6 but the answer for divisibility is different for 2 and 6, so insufficient once again.
Hence answer is E.
27 Feb 2011, 23:00
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good one....got it...
Archived Topic
Hi there,
Archived GMAT Club Tests question - no more replies possible.
Where to now? Try our up-to-date Free Adaptive GMAT Club Tests
for the latest questions.
Still interested? Check out the "Best Topics" block above for better discussion and related questions.
Thank you for understanding, and happy exploring!
