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17 Jul 2017, 13:38
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What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A. 1108
B. 1683
C. 2007
D. 3363
E. 3339
A. 1108
B. 1683
C. 2007
D. 3363
E. 3339
17 Jul 2017, 13:51
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What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A. 1108
B. 1683
C. 2007
D. 3363
E. 3339
As per the question , number must be divisible by 9
So only B , C and E remains - out of these only B when divided by 5 leaves 3 as remainder
A. 1108
B. 1683
C. 2007
D. 3363
E. 3339
As per the question , number must be divisible by 9
So only B , C and E remains - out of these only B when divided by 5 leaves 3 as remainder
Updated on: 20 Feb 2020, 17:36
Originally posted by BrentGMATPrepNow on 17 Jul 2017, 14:15.
Last edited by BrentGMATPrepNow on 20 Feb 2020, 17:36, edited 1 time in total.
Last edited by BrentGMATPrepNow on 20 Feb 2020, 17:36, edited 1 time in total.
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GTExl
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A. 1108
B. 1683
C. 2007
D. 3363
E. 3339
Kudo please if you liked the question.
A. 1108
B. 1683
C. 2007
D. 3363
E. 3339
Kudo please if you liked the question.
The biggest tip here is that the number is divisible by 9.
IMPORTANT: if a number is divisible by 9, the sum of its digits is divisible by 9.
Check the answer choices....
A. 1108 sum of digits = 10 - not divisible by 9 - ELIMINATE
B. 1683 sum of digits = 18 - divisible by 9 - KEEP
C. 2007 sum of digits = 9 - divisible by 9 - KEEP
D. 3363 sum of digits = 15 - not divisible by 9 - ELIMINATE
E. 3339 sum of digits = 18 - divisible by 9 - KEEP
We're left with B, C and E
Next important tip: the number, when divided by 5 leaves a remainder 3
Some numbers that work are: 3, 8, 13, 18, 23, 28, 33, ...
So, the number in question must have either 3 or 8 as its units digit.
Check the remaining answer choices....
B. 1683 KEEP
C. 2007 ELIMINATE
E. 3339 ELIMINATE
Answer: B
Cheers,
Brent
