All flowers are toys. Some toys are trees
Since the middle term 'toys' is not distributed even once in the premises,no definite conclusion follows.
Some toys are trees. Some angels are trees
Since both premises are particular,no definite conclusion an be drawn
From solving 1 and 2 we get,
1.
5a(a-3)-3(a-3) = 0
(5a-3)(a-3) = 0
a = 3 or 3/5
2.
3b(b+2)-1(b+2) = 0
b = -2 or b = 1/3
Here when a = 3, a > b for b = -2 and b = 1/3
when a = 3/5. a > b for b = -2 and b = 1/3.
Hence, it is clear that a > b.
I does not follow because it considers the qualities expressed in the statement sufficient for the eligibility of a job. II follows obviously.
Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.
Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.
Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.
Hence by using any two of the three statements(1,2&3) we get rate of interest.
Fall of demand of gold is due to rising prices. Hence, I can be concluded. II cannot be concluded from the given statement.
The statement mentions that chances of heart ailments are greatly reduced by a regular half-hour exercise. So, a follows. However, it talks of only reducing the probability which does not mean that persons involved in sedentary jobs shall definitely suffer from heart ailments. So, b does not follow.
Hence, concusion a only follows the given statement.
All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III?but it doesn?t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.
So conclusion A does not follow.
In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.
Thus, conclusion B does not follow either.
From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.
From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.
Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.
Pipe B takes 120 hours to fill the cistern.
If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.
If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled 1/40 + 1/120 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.
If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled 1/120 + 1/40 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.
As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.
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