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How many numbers from 1 to 125, inclusive, are evenly divisible

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How many numbers from 1 to 125, inclusive, are evenly divisible  [#permalink]

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New post 02 Nov 2018, 05:33
3
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (02:09) correct 38% (02:06) wrong based on 43 sessions

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How many numbers from 1 to 125, inclusive, are evenly divisible by 3 or 7 or both?
A)51
B)53
C)54
D)57
E)59

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How many numbers from 1 to 125, inclusive, are evenly divisible  [#permalink]

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New post 02 Nov 2018, 05:50
Abhi077 wrote:
How many numbers from 1 to 125, inclusive, are evenly divisible by 3 or 7 or both?
A)51
B)53
C)54
D)57
E)59


Multiples of 3 from 1 to 125 = [125/3] = 41
Multiples of 7 from 1 to 125 = [125/7] = 17
Multiples of 3&7 both i.e. 21 from 1 to 125 = [125/21] = 5 (these numbers have been counted among multiples of 3 as well as among multiples of 7 hence need to be excluded once)

i.e. Total Desired Numbers = 41+17-5 = 53

Answer: Option B
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How many numbers from 1 to 125, inclusive, are evenly divisible   [#permalink] 02 Nov 2018, 05:50

How many numbers from 1 to 125, inclusive, are evenly divisible

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