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but not by 9

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by sanju09 » Wed Sep 15, 2010 10:15 pm
Which of the following numbers is evenly divisible by 2, 3, 4, and 5, but not by 9?
(A) 15,215
(B) 21,896
(C) 47,630
(D) 60,840
(E) 78,420


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Sanjeev K Saxena
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by Layo » Wed Sep 15, 2010 11:01 pm
15,215 is NOT divisible by 2 and 4, because the last digit is not 0, 2, 4, 6 or 8. and not divisible by 3 since sum of the digits is 14. 14 is not divisible by 3. so this is not the right answer
21,896 is NOT divisible by 5, last digit is not 5 or 0
47,630 is NOT divisible by 3, sum is 20
60,840 is divisible by 2,3,4,5, BUT it also divisible by 9, sum is 18. 18 divisible by 9
78,420 is divisible by 2, 3,4 and 5 and not by 9. sum of the digits 21. 21 is not divisible by 9.

Answer is E
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by sanju09 » Wed Sep 15, 2010 11:19 pm
Layo wrote:15,215 is NOT divisible by 2 and 4, because the last digit is not 0, 2, 4, 6 or 8. and not divisible by 3 since sum of the digits is 14. 14 is not divisible by 3. so this is not the right answer
21,896 is NOT divisible by 5, last digit is not 5 or 0
47,630 is NOT divisible by 3, sum is 20
60,840 is divisible by 2,3,4,5, BUT it also divisible by 9, sum is 18. 18 divisible by 9
78,420 is divisible by 2, 3,4 and 5 and not by 9. sum of the digits 21. 21 is not divisible by 9.

Answer is E
Was there a need to check A and B in this question?
The mind is everything. What you think you become. -Lord Buddha



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by diebeatsthegmat » Thu Sep 16, 2010 12:31 am
sanju09 wrote:
Layo wrote:15,215 is NOT divisible by 2 and 4, because the last digit is not 0, 2, 4, 6 or 8. and not divisible by 3 since sum of the digits is 14. 14 is not divisible by 3. so this is not the right answer
21,896 is NOT divisible by 5, last digit is not 5 or 0
47,630 is NOT divisible by 3, sum is 20
60,840 is divisible by 2,3,4,5, BUT it also divisible by 9, sum is 18. 18 divisible by 9
78,420 is divisible by 2, 3,4 and 5 and not by 9. sum of the digits 21. 21 is not divisible by 9.

Answer is E
Was there a need to check A and B in this question?
no, because A and B dont fit the conditions which says that the number must be divisible 2,3,4,5 and those number is not divisible by 2,4, or 3
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