1
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:   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

Subject: Statement and Conclusions
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Q:

As per the National Forestry Report, 1998 , India must retain a true cover of 33 per cent as against the 19 per cent at present . A budgetary allocation of Rs 850 crore is just a drop in the ocean.

Conclusions:

I. The forest coverage in a country should be in proportion to its popullation 

II. Inadequate budgetary allocation comes in the way of enhancing the forest coverage.

A) If only conclusion I follows B) If only conclusion II follows
C) If neither I nor II follows D) If both I and II follow
 
Answer & Explanation Answer: B) If only conclusion II follows

Explanation:

The relation of forest to population can't be derived from the statement. Hence I does not follow. From the second sentence and from the tone of the statement II can be derived. Hence follows.

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2 3381
Q:

If the gifts are passed on, the whole purpose of the gift is defeated. Therefore, the gift should be one that is useful and at the same time it attracts you, appeals to you and you retain it.

Conclusions : 

I. If gifts are retained , their utility increases.

II. Gifts are not meant for repeated change of hands.

A) If only conclusion I follows B) If only conclusion II follows
C) If neither I nor II follows D) If both I and II follow
 
Answer & Explanation Answer: B) If only conclusion II follows

Explanation:

I is not hinted at. It is an invention of the concluder's mind. II follows  because if "the whole purpose of something is defeated", it loses its meaning.

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2 3806
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 29604
Q:

Some boys are men. No man is black

Conclusions:

1. Some boys are not black

2. Some men are boys

A) Only 1 follows B) Only 2 follows
C) Either 1 or 2 follows D) Neither 1 nor 2 follows
 
Answer & Explanation Answer: A) Only 1 follows

Explanation:

Since one premise is negative , the conclusion must be negative. so 2 does not follow and only 1 follows

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Exam Prep: GRE

34 51672
Q:

All windows are doors. No door is wall

Conclusions:

1. No window is wall

2. No Wall is door

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

Explanation:

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.

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Exam Prep: GRE

56 54388
Q:

National Aluminium Company has moved Georgia from a position of shortage to self-sufficiency in the metal. 

Conclusions: 

1. Previously, Georgia had to import aluminium

2. With this speed, it can soon become a foreign exchange earner 

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

Explanation:

According to the statement, National Aluminium Company has moved Georgia from a position of shortage in the past to self-sufficiency in the present. This means that previously, Georgia had to import aluminium. So, I follows. Also, it can be deduced that if production increases at the same rate, Georgia can export it in future. So, II also follows. 

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1 4595
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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12 38946
Q:

Some mountains are hillocks. Some mountains are rivers. Some mountains are valleys.

Conclusions:

1. All mountains are either hillocks or rivers or valleys

2. No valley is river

3. Some river are valleys

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

Explanation:

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

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23 42506