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 Verbal Reasoning - Logical Deduction Questions

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Q:

I.  During the past year, Josh saw more movies than Stephen.

II. Stephen saw fewer movies than Darren.

III.Darren saw more movies than Josh.

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

A) true B) false
C) uncertain D) none
 
Answer & Explanation Answer: C) uncertain

Explanation:

Because the first two sentences are true, both Josh and Darren saw more movies than Stephen. However, it is uncertain as to whether Darren saw more movies than Josh.

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Filed Under: Logic

49 24022
Q:

Some blades are hammers. Some hammers are knives. Some knives are axes.

Conclusions:

1. Some axes are hammers

2. Some knives are blades

3. Some axes are blades

A) None follows B) Only 1 follows
C) Only 2 follows D) Only 3 follows
 
Answer & Explanation Answer: A) None follows

Explanation:

Since each combination has of premises has 2 particular premises, so no defenite conclusion follows

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Filed Under: Statement and Conclusions

18 23714
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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Filed Under: Statement and Conclusions

19 23208
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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Filed Under: Statement and Conclusions

11 22019
Q:

I.  All the offices on the 9th floor have wall-to-wall carpeting.

II. No wall-to-wall carpeting is pink.

III.None of the offices on the 9th floor has pink wall-to-wall carpeting.

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

A) true B) false
C) uncertain D) none
 
Answer & Explanation Answer: A) true

Explanation:

If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.

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Filed Under: Logic

33 19429
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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Filed Under: Statement and Conclusions
Exam Prep: GRE

0 19180
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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1 18671
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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