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M14-14

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M14-14 [#permalink]

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New post 16 Sep 2014, 00:53
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Re M14-14 [#permalink]

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New post 16 Sep 2014, 00:53
Official Solution:

How many positive integers less than 100 are multiples of both 16 and 14?

A. 0
B. 1
C. 2
D. 3
E. 4

For an integer to be divisible by both 16 and 14 it should be divisible by the least common multiple of \(16=2^4\) and \(14=2*7\) which is \(2^4*7=112\). So, the least positive integer which is divisible by both 16 and 14 is 112, hence no integer less than 100 is a multiple of both 16 and 14.

Answer: A
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Re: M14-14 [#permalink]

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New post 23 Aug 2017, 04:56
Bunuel

In what all type of questions should we use LCM ? How will we know we are being asked to calculate LCM to get to the answer?
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Re: M14-14 [#permalink]

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New post 06 Sep 2017, 00:40
Hi Bunuel, If the question had been like mentioned below, would the answer be A? (because now the zero is also included) -

How many non negative integers less than 100 are multiples of both 16 and 14?

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New post 06 Sep 2017, 00:42
Sandesh0476 wrote:
Hi Bunuel, If the question had been like mentioned below, would the answer be A? (because now the zero is also included) -

How many non negative integers less than 100 are multiples of both 16 and 14?


In this case the answer would be 1 (B) because 0 is a multiple of every positive integer.
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Collection of Questions:
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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: M14-14 [#permalink]

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New post 06 Sep 2017, 02:43
Oh yes, correct. Thanks :)

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Re: M14-14   [#permalink] 06 Sep 2017, 02:43
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