Latest Wipro Aptitude Question SOLUTION: In a certain office, 1 / 3 of the workers are women, 1 / 2 of the women are married and 1 / 3 of the married women have children. If 3 / 4 of the men are married and 2 / 3 of the m

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In a certain office, 1 / 3 of the workers are women, 1 / 2 of the women are married and 1 / 3 of the married women have children. If 3 / 4 of the men are married and 2 / 3 of the married men have children, what part of workers are without children ?

a. 5 / 18
b. 4 / 9
c. 11 / 18
d. 17 / 36

Asked In Wipro (12 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Shounak Sushanta Dasgupta  (11 years ago)

let male and female be x

female=x/3
female (married)=x/6
female (married(child))=x/18

male=2x/3
male (married)=x/2
male (married(child))=x/3

total wid childern=1/18+1/3=7/18
1-7/18 is widout childern=11/18

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Srinivas Rao  (8 years ago)

Given 1/3 of workers are women ===>So 2/3 of workers are men.
(1/3)*(1/2)*(1/3)=1/18 have children in women
men= 2/3 of workers so,
2/3*(3/4)*(2/3)= 1/3 and 1/3 can be written as 7/18
Total workers having childern 6/18+1/18= 7/18
Workers not having children = 1- 7/18 ============> (18-7)/18 ==== 11/18 is the Answer

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G.selva gomathi  (9 years ago)

i think the option is b)
bcz in the above solution the number of men got married (with children) is given as x/3 but
= (2/3) of (3/4) i.e (2/3)*3/4 gives u (x/2) isn't it????
thn ans becomes b)4/9

i request admin to provide only the correct solution ..............plz
i toooo confused

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Srinivas Rao  (9 years ago)

LET US ASSUME TOTAL WORKERS ARE 90
(YOU CAN ASSUME ANY NUMBER HERE. IT WOULD BE EASIER IF U TAKE NUMBER WHICH IS DIVISIBLE BY 2 AND 3 HERE. SO CALCULATION IS EASIER..)

WOMEN MEN
1/3 OF TOTAL WOEKERS ARE WOMEN.SO WOMEN=30 REMAINING ARE MEN=60
1/2 ARE MARRIED IN WOMEN MARRIED=15 3/4 ARE MARRIED SO MARRIED MEN=54
1/3 HAVE CHILD SO 5 WOMEN HAVE CHILD 2/3 OF MARRIED MEN HAVE CHILD. SO MEN WITH CHILD=30

TOTAL WORKERS WITH CHILD=30 MEN+5 WOMEN= 35
REMANING WORKERS WITHOUT CHILD=90-35=55
THEIR RATIO=55/90=11/18

ANSWER=11/18(C)

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