dave13 wrote:

shivsuddala wrote:

Consider x male , y female employee.

As per the statement 7x=3y

Implies y=7x/3

X+Y

x+7x/3+=10x/3

In the options 110 is a multiple of 10

So..

Option C

how did you get 10x ?

Think it this way.

7M = 3F

Therefor M = (3/7) F

Now Total Workers in the factory are = M + F = (3/7)F + F = 10F/7

So whatever be the number of Workers; The number of female workers will always be an integer value.

Now lets check each option:

Option A = Total Workers is 21 implies 10F/7 = 21; giving an non-integer value for F

Option B = Total Workers is 37 implies 10F/7 = 37; again giving an non-integer value for F

Option C = Total Workers is 110 implies 10F/7 = 110; giving an integer value of F = 77 and that leaves number of males M = 33

7 times number of males = 7 x 33 = 231 = 3 times number of females = 3 x 77 = 231

Hence C is the only possible answer.Option D = Total Workers is 128 implies 10F/7 = 128; again giving an non-integer value for F

Option E = Total Workers is 201 implies 10F/7 = 201; again giving an non-integer value for F

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