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(#M40017928) WIPRO Numerical Ability question Keep an EYE

A team of 36 members is divided into groups of equal size to make a trip. Since the groups were too large to fit in a car , 3 members were taken from each group and these members then formed into two additional groups . after this , all groups had the same number of members . how many members of the team were in a group before the three members were taken out from each group ?

(A) 4 (B) 6 (C) 9 (D) 3

Asked In Wipro SATHISH T.N (11 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Aman  (11 years ago)

Earlier 4 groups of 9 members in each group
now 6 groups of 6 members in each group.

Is this solution Helpfull? Yes (12) | No (1)  

PANKAJ RAY  (11 years ago)

equal size of groups for 36 members can be formed as :
18x2
12x3
9x4
6x6 also 4x9,3x12,2x18
if we consider 9x4 where 9=members and 4=groups
now 3 members taken from each (4)groups and formed two additional group:
= 3x4 = 12members or 2 groups 0f 6 members.
previously we considered 9 members in 4 groups after taking out 3 members from each group the new reduced size of groups will have (9-3) = 6 members
thus all groups have 6 members
therefore ,
members of the team were in a group before the three members were taken out from each group = 9

Is this solution Helpfull? Yes (4) | No (3)  

anand kumar  (11 years ago)

let there be n groups each group contains 36/n
number of people in each group after removing people=36/(n+2)
so 36/n-3=36/(n+2)
solving we get 6 and -4
so 6 is no of groups and each group contains 6 members

Is this solution Helpfull? Yes (2) | No   

Mayur  (11 years ago)

let there be n groups each group contains 36/n
number of people in each group after removing people=36/(n+2)
so 36/n-3=36/(n+2)
solving we get -6 and 4
so 4 is no of groups previously and each group contained 9 members

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asha  (11 years ago)

36 members are divided into 4 groups each of 9 members.

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Devendra Marghade  (8 years ago)

(C) 9

With initially 'x' members in each group, then number of groups=36/x
After taking out 3 members from each group, number of group formed are 2 more than the previous, so 36/(x-3)=(36/x) + 2
x^2 -3x -54=0
(x+6)(x-9)=0
So x=9

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