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# What percentage of odd prime numbers lying between 1 and 30 divide

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Manager
Joined: 25 Dec 2018
Posts: 230
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
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WE: Engineering (Consulting)
What percentage of odd prime numbers lying between 1 and 30 divide  [#permalink]

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14 Apr 2019, 06:22
1
00:00

Difficulty:

35% (medium)

Question Stats:

62% (01:33) correct 38% (01:40) wrong based on 21 sessions

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What percentage of odd prime numbers lying between 1 and 30 divide 7,700 completely?

A. 20%
B. 25%
C. 30%
D. 33%
E. 40%
Math Expert
Joined: 02 Aug 2009
Posts: 7573
Re: What percentage of odd prime numbers lying between 1 and 30 divide  [#permalink]

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14 Apr 2019, 09:24
mangamma wrote:
What percentage of odd prime numbers lying between 1 and 30 divide 7,700 completely?

A. 20%
B. 25%
C. 30%
D. 33%
E. 40%

Let us factorise 7700=77*100=$$7*11*2^2*5^2$$..
So odd prime numbers are 5,7 and 11 , so 3 of them
Odd prime numbers between 1 and 30 are 3,5,7,11,13,17,19,23,29..

So %= 3/9=1/3=33.33%

D
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Re: What percentage of odd prime numbers lying between 1 and 30 divide  [#permalink]

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14 Apr 2019, 09:29
mangamma wrote:
What percentage of odd prime numbers lying between 1 and 30 divide 7,700 completely?

A. 20%
B. 25%
C. 30%
D. 33%
E. 40%

solving in hurry i initally got it wrong as i mis read odd prime no..

7700 ; factorize ; 7*2^2*11*5^2
total odd prime 1 to 30 ; 9
and odd prime factors of 7700; 3
so 3/9 * 100; 33%
IMO D
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Re: What percentage of odd prime numbers lying between 1 and 30 divide   [#permalink] 14 Apr 2019, 09:29
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