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# How many odd integers less than 100 are a multiple of 3 and a multiple

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Math Expert
Joined: 02 Sep 2009
Posts: 50007
How many odd integers less than 100 are a multiple of 3 and a multiple  [#permalink]

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05 Nov 2017, 03:07
00:00

Difficulty:

25% (medium)

Question Stats:

83% (00:59) correct 17% (01:12) wrong based on 79 sessions

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How many odd integers less than 100 are a multiple of 3 and a multiple of 5?

(A) 3

(B) 4

(C) 7

(D) 10

(E) 15

_________________
Intern
Joined: 07 Jul 2015
Posts: 42
Location: India
Concentration: Operations, General Management
GMAT 1: 660 Q47 V35
GMAT 2: 740 Q50 V40
GPA: 3.7
WE: Operations (Manufacturing)
Re: How many odd integers less than 100 are a multiple of 3 and a multiple  [#permalink]

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05 Nov 2017, 03:48
odd multiples of 15 is what we are looking for
15
45
75
ans=3
Manager
Joined: 08 Apr 2017
Posts: 80
Re: How many odd integers less than 100 are a multiple of 3 and a multiple  [#permalink]

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05 Nov 2017, 08:10
Bunuel wrote:
How many odd integers less than 100 are a multiple of 3 and a multiple of 5?

(A) 3

(B) 4

(C) 7

(D) 10

(E) 15

Multiples of 3 and 5 => Multiples of 15

So all the multiples of 15 less than 100 are - 15 30 45 60 75 90.
But the question is asking specifically for odd integers. Hence we have 15 30 45 60 75 90
Option A
Re: How many odd integers less than 100 are a multiple of 3 and a multiple &nbs [#permalink] 05 Nov 2017, 08:10
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