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II. y - 5√7x + 42 = 0
I. x + √3x – 36 = 0
x + 4√3x - 3√3x – 36 = 0
x(x + 4√3) - 3√3(x + 4√3) = 0
(x - 3√3)(x + 4√3) = 0
X = 3√3 = 5.196, - 4√3
II. y - 5√7y + 42 = 0
y - 3√7y - 2√7y + 42 = 0
y(y - 3√7) - 2√7(y - 3√7) = 0
(y - 2√7)(y - 3√7) = 0
Y= 2√7=5.29, 3√7
Hence, option B is correct.
The least possible Venn diagram for the given statements will be as shown:
Conclusions:
I. Some ropes can be rats – The possibility is true.
II. 50% of rings may not be ropes – Only few rings are ropes means, some rings are ropes and some rings are not ropes. Hence, it is true.
Hence, both I and II follow.
I. All pillars can never be roads – Only a few rocks are roads means, some rocks are roads and some rocks are not roads. All rocks are pillars. So, all pillars can never be roads. Hence, the possibility is true.
II. All walls can be roads – Only a few walls are roads means, some walls are roads and some walls are not roads. So, all walls can never be roads. Hence, the possibility is false.
Hence, only conclusion I follows.
I. All tiles can never be trees – Only few tiles are trees means, some tiles are trees and some tiles are not trees. So, all tiles can never be trees. Hence, it is true.
II. Some pens are trees – It possible but not definite in least possible Venn diagram. Hence, it is false.
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