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04 Oct 2008, 05:06
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
72% (02:03) correct
28%
(02:08)
wrong
based on 3708
sessions
History
Date
Time
Result
Not Attempted Yet
How many positive integers less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
A. 19
B. 18
C. 17
D. 16
E. 15
A. 19
B. 18
C. 17
D. 16
E. 15
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12 Feb 2015, 22:32
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Hi call2aks,
This question is essentially about thoroughness (making sure that you find all of the 'acceptable' values). You can solve it with "brute force" and some basic math concepts.
Here's an alternative that most Test Takers would not think about though:
We're asked to deal with the positive integers LESS than 20. There are only 19 numbers in that group (1 to 19, inclusive). We're asked to find all of the numbers that fit one (or more) of the given descriptions. Looking at the answer choices, we have every value form 15 to 19, inclusive, so most (if not all) of the numbers from 1 to 19 fit one (or more) of the descriptions. How long would it take you to find the ones that DON'T fit.....?
The first several should be pretty easy to find - the prompt wants us to focus on multiples of 2 and 9 (and sums of those multiples). So what ODD numbers are less than 9?
1, 3, 5, 7
None of these values fit the given descriptions. That's 4 out of 19 that we know for sure do NOT fit. 19 - 4 = 15. THAT is the smallest answer amongst the choices. The answers don't get any smaller, so 15 MUST be the answer. We don't have to look any further (and we don't have to do any more work).
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question is essentially about thoroughness (making sure that you find all of the 'acceptable' values). You can solve it with "brute force" and some basic math concepts.
Here's an alternative that most Test Takers would not think about though:
We're asked to deal with the positive integers LESS than 20. There are only 19 numbers in that group (1 to 19, inclusive). We're asked to find all of the numbers that fit one (or more) of the given descriptions. Looking at the answer choices, we have every value form 15 to 19, inclusive, so most (if not all) of the numbers from 1 to 19 fit one (or more) of the descriptions. How long would it take you to find the ones that DON'T fit.....?
The first several should be pretty easy to find - the prompt wants us to focus on multiples of 2 and 9 (and sums of those multiples). So what ODD numbers are less than 9?
1, 3, 5, 7
None of these values fit the given descriptions. That's 4 out of 19 that we know for sure do NOT fit. 19 - 4 = 15. THAT is the smallest answer amongst the choices. The answers don't get any smaller, so 15 MUST be the answer. We don't have to look any further (and we don't have to do any more work).
Final Answer:
GMAT assassins aren't born, they're made,
Rich
