# GATE (TF) Textile 2015 Question Paper Solution | GATE/2015/TF/45

###### Question 45 (Textile Engineering & Fibre Science)

Two polyester and six viscose rayon slivers of same count are blended on a drawframe. In the second passage, four slivers from passage are further blended with two combed cotton slivers of the same count. The viscose (%) in the final sliver to the nearest integer is __50__.

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Given in the question:
1st passage
2 polyester sliver and 6 viscose rayon sliver blended together ,

2nd passage
4 sliver from previous passage blended with 2 combed cotton sliver

The viscose % in the final sliver=?

Calculation
1st passage
2 polyester sliver and 6 viscose rayon sliver blended together ,

i.e.,there are total 8 sliver
By unitary rule-
8 sliver have total=6 viscose sliver

Then, 1 sliver=6/8 viscose sliver

2nd passage
4 sliver from previous passage blended with 2 combed cotton sliver

i.e., total number of slivers in the final blend=4+2
=6

Then,
4 sliver drawn from previous passage have=(6/8)*4 viscose sliver

=3 vicose sliver

Now,
Percentage of viscose sliver in the final sliver=[3/(total number of sliver in the final blend)]*100

Viscose% in the final sliver=(3/6)*100
=300/6

Viscose% in the final sliver=50 (Answer)