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# Bertha has 6 daughters and no sons. Some of her daughters have 6 daugh

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Math Expert
Joined: 02 Sep 2009
Posts: 59589
Bertha has 6 daughters and no sons. Some of her daughters have 6 daugh  [#permalink]

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21 Mar 2019, 04:07
00:00

Difficulty:

25% (medium)

Question Stats:

81% (02:53) correct 19% (01:41) wrong based on 16 sessions

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Bertha has 6 daughters and no sons. Some of her daughters have 6 daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and grand-daughters have no daughters?

(A) 22
(B) 23
(C) 24
(D) 25
(E) 26

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Location: India
Concentration: Sustainability, Marketing
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Re: Bertha has 6 daughters and no sons. Some of her daughters have 6 daugh  [#permalink]

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21 Mar 2019, 04:24
Bunuel wrote:
Bertha has 6 daughters and no sons. Some of her daughters have 6 daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and grand-daughters have no daughters?

(A) 22
(B) 23
(C) 24
(D) 25
(E) 26

total daughter + grand daughter = 30
given daughter of Betha = 6
so grand daughter = 30-6 ; 24
now 24 /6 = 4 have 6 daughters each
question has asekd How many of Bertha's daughters and grand-daughters have no daughters ;
2 of Bertha daughter have no daughters and all of grand daughters also dont have daughters
so
2+24 = 26
IMO E
Re: Bertha has 6 daughters and no sons. Some of her daughters have 6 daugh   [#permalink] 21 Mar 2019, 04:24
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