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IT Placement Practice Test 7
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© examsnet.com
Question : 22
Total: 40
Overfishing is a serious environmental issue. It has been determined by the scientists that if the net of a trawler has mesh size x cm (a square mesh), then the percentage of fish entering the net that are caught in the net is (100 - 0.04x^2- 0.24x). For example, if the mesh size is zero, 100% of the fish that enter the net will be caught.
A trawler with net with a square mesh, that was suspect of using an illegal size net, dropped its net to the ocean floor near the Andamans and the coast guard, officials arrested the crew. The scientists later looked the size of the fish caught, and estimated that for the net used by the trawler, atleast 97.8% of the fish entering the net would be caught. What is the maximum value of x for the net used by the trawler?
5
4.5
7
None of these
Validate
Solution:
For some x, 97.8% fish was caught. So,
⇒ 100 -
0.04
x
2
- 0.24x = 97.8.
⇒
0.04
x
2
+ 0.24x = 2.2
⇒
4
x
2
+ 24x = 220
⇒
x
2
+ 6x - 55 = 0
Solving we get x = 5 and -11
So x = 5 is correct option.
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