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M12 Q36

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Author Message
Senior Manager
Senior Manager
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Status: Happy to join ROSS!
Joined: 29 Sep 2010
Posts: 279
Concentration: General Management, Strategy
Schools: Ross '14 (M)
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Kudos [?]: 98 [0], given: 48

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M12 Q36 [#permalink] New post 29 Nov 2010, 14:22
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
How many positive integers less than 200 are there such that they are multiples of 13 or multiples of 12 but not both?
28
29
31
32
33

The official explanation says:
Multiples of 13: 13, 26, 39, ..., 195. 15 numbers.

Multiples of 12: 12, 24, 36, ..., 192. 16 numbers.

Multiples of both 12 and 13: 156. 1 number but it is counted twice.

The answer is 15+16-2 = 29

The correct answer is B.
----
---
What is a fast approach for such type of questions? I cannot imagine that one shall sit n count all 16 multiples of 200 and then 15 multiples of 13!
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Re: M12 Q36 [#permalink] New post 29 Nov 2010, 19:24
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The direct way...divide 200/13= 15.x
divide 200/12= 16.x

now 13*12 = 156 - we have to exclude it twice

so 15 +16 -2
_________________

Respect,
Vaibhav

PS: Correct me if I am wrong.

Manager
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Re: M12 Q36 [#permalink] New post 30 Nov 2010, 14:45
B

Posted from my mobile device Image
Re: M12 Q36   [#permalink] 30 Nov 2010, 14:45
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M12 Q36

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