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 Statement and Conclusions Questions

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Q:

All snakes are trees. Some trees are roads. All roads are mountains.

Conclusions: 

1. Some mountains are snakes

2. Some roads are snakes

3. Some mountains are trees

A) Only 1 follows B) Only 2 follows
C) Only 3 follows D) Both 1 and 2 follow
 
Answer & Explanation Answer: C) Only 3 follows

Explanation:

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

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Q:

Some tapes are discs. Some discs are cassettes. Some cassettes are songs

Conclusions:

1. Some songs are discs

2. Some cassettes are tapes

3. Some songs are tapes

4. No song is a disc

A) Only either 1 or 4 follows B) Only either 2 or 4 follows
C) Only 3 and 4 follow D) Only 3 and either 2 or 4 follows
 
Answer & Explanation Answer: A) Only either 1 or 4 follows

Explanation:

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.

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Q:

Some envelops are gums. Some gums are seals. Some seals are adhesives.

Conclusions:

1. Some envelops are seals

2. Some gums are adhesives

3. Some adhesives are seals

4. Some adhesives are gums

A) Only 3 B) Only 1
C) Only 2 D) Only 4
 
Answer & Explanation Answer: A) Only 3

Explanation:
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Exam Prep: GRE

0 19157
Q:

I. a2-7a+12 = 0,

II. b2-3b+2 = 0

Solve both the equations to find the values of a and b  ?

A) if a > b B) if a < b
C) if the relationship between a and b cannot be established. D) if a ≤ b
 
Answer & Explanation Answer: A) if a > b

Explanation:

I.  (a - 3)(a - 4) = 0

 

=> a = 3, 4

 

II.   (b - 2)(b - 1) = 0

 

=> b = 1, 2

 

=> a > b

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Q:

Question :

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

Statements :

a. The captain is eleven years older than the youngest player.

b. The average age of 10 players, other than the captain is 27.3 years.

c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

A) All a,b and c follows B) Only a and c follows
C) Either b alone or a & b follows D) None
 
Answer & Explanation Answer: C) Either b alone or a & b follows

Explanation:

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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Q:

Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?
I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.

A) I only B) II only
C) I, II, and III D) None of the statements is a fact.
 
Answer & Explanation Answer: D) None of the statements is a fact.

Explanation:

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.

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4 16287
Q:

Read both the statements given below and answer the question.

Q : Which train did Harish catch to go to office ?

Statements :

A. Harish missed his usual train of 4.15 p.m. A train comes in every 15 minutes.

B. Harish did not catch the 4.45 p.m. train or any train after that time.

A) If statement B alone is sufficient but statement A alone is not sufficient. B) If statement A alone is sufficient but statement B alone is not sufficient.
C) If both statement together are sufficient, but neither statement alone is sufficient. D) If statement A and B together are not sufficient.
 
Answer & Explanation Answer: D) If statement A and B together are not sufficient.

Explanation:

From both statements we cannot conclude the train catched by Harish

Since he missed at 4.15 and train coes at 4.30, 4.45, 5.00,...

But in B given that he didn't catch the train at 4.45 and after that.

So both statements A & B together are not sufficient to answer the question.

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Q:

Draw the conclusion from the following sentences

1. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.
2. Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons.
3. Of the three apartment buildings, the Livingston Gate costs the most.

If the first two statements are true, the third statement is

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

Since the Gaslight Commons costs more than the Riverdale Manor and the Livingston Gate costs more than the Gaslight Commons, it is true that the Livingston Gate costs the most.

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Subject: Statement and Conclusions
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