2 and 3 are the satements involving the extreme terms of the last 2 premises and form a complementary pair. Thus either 2 or 3 follows
Since each combination has of premises has 2 particular premises, so no defenite conclusion follows
All snakes are trees. Some trees are roads.
Since the middle term is not distributed even once in the premises,so no conclusion follows
Some trees are roads. All roads are mountains
Since one primise is particular,the conclusion must be particularand should'nt contain the middle term. So,it follows that 'Some trees are mountains'. 3 is the converse of this statement and so it holds.
All snakes are trees. Some trees are mountains.
Since the middle term is not distributed even once in the preises, so no definite conclusion follows
Since one premise is negative , the conclusion must be negative. so 2 does not follow and only 1 follows
Since both the premises are universal and one premise is negative, the conclusion must be universal negative. Also, the conclusion should not contain the middle term. So, 1 follows.
However, 2 is the converse of the second premise and thus it also holds.
Some hills are rivers. Some rivers are deserts.
Since both the premises are particular, no defenite conclusion follows.
Some rivers are deserts. All deserts are roads
Since one premise is particular,the conclusion must be particular and should'nt contain the middle term. Since it follows that 'Some rivers are roads'. 1 is the converse of this conclusion and so it holds.
Since each combiantion of premise contain 2 particular premises, no definite conclusion can be drawn. However, 1 and 4 involve the extreme terms of 2nd and 3rd premises and form a complementary pair. Thus either 1 or 4 follows.
1 is the converse of 2nd premise,2 is the converse of 3rd premiseand 3 is the converse of 1st premise and such, all the 3 follow
From the given Statements :
1. I > W > T > N
2. F = G = C
Conclusions are :
I. W > I (False)
II. C > N (True)
From statement (b)
Average of 11 players = 11 x 28 = 308
Average of 10 players = 10 x 27.3 = 273
Age of captain = 308 - 273 = 35.
From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers age
From the statement (c),the averge age of 3groups of 3players each was given,
It means total 9 players age was given indirectly,
1st group: 25 x 3 = 75
2nd group: 28 x 3 = 84
3rd group: 30 x 3 = 90
Total is 75 + 84 + 90 = 249
Now {C + Y + (9 players age sum)}/11 = 28
Y + 11 + Y + (249) = 28 x 11=308
2Y+260=308
2Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35
Therefore, statement b alone or a & c only is the answer.
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