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:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

 

Statement I: Some roses are flowers

 

Statement II: Some red are roses

 

Conclusion I: Some flowers are red

 

Conclusion II: All red are flowers

 

A) Only conclusion I follows   B) Only conclusion II follows
C) Both conclusion I and II follows D) Neither conclusion I nor II follows
 
Answer & Explanation Answer: D) Neither conclusion I nor II follows

Explanation:
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Q:

Below are given statements followed by two conclusions I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts.

 

Statements : All birds are tall. Some tall are peacocks.

 

Conclusions :

 

I. Some birds are peacocks.

II. Some peacocks are tall.

 

Decide which of the below options logically follows the given statement.

 

A) Both conclusions I and II follows B) Neither conclusion I nor II follows
C) Only conclusion I follows D) Only conclusion II follows
 
Answer & Explanation Answer: D) Only conclusion II follows

Explanation:
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Q:

Consider the given statement to be true and decide which of the given conclusions logically follows from the statement.

Statement :

Some bugs are birds. All the birds are fruits.

Conclusions :

1. All the fruits are birds.
2. Some of the bugs are fruits.

 

 

 

 

A) Both conclusions 1 and 2 follow B) Only conclusion 2 follows
C) Neither conclusion 1 nor 2 follows D) Only conclusion 1 follows
 
Answer & Explanation Answer: B) Only conclusion 2 follows

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Q:

Consider the given question and decide which of the following statements is sufficient to answer the question.

 

When did Mr. Y purchase his car?

 

Statements :

 

1. Certainly before 18th August but not before 15th August.

2. Certainly after 16th August but not later than 19th August.

 

A) Statement 1 alone is sufficient while statement 2 alone is insufficient B) Statement 2 alone is sufficient while statement 1 alone is insufficient
C) Both statement 1 and 2 are sufficient D) Either statement 1 or 2 is sufficient
 
Answer & Explanation Answer: C) Both statement 1 and 2 are sufficient

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Q:

Consider the given statements true and decide which of the given conclusions can definitely be drawn from the given statements.

 

Statements :

 

All apples are red. No red fruits are cheap.

 

Conclusions :

 

1. All apples are cheap.

2. Red apples are not cheap.

 

A) Only conclusion 2 follows B) Only conclusion 1 follows
C) Both 1 and 2 follow D) Neither 1 nor 2 follows
 
Answer & Explanation Answer: A) Only conclusion 2 follows

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Q:

Consider the given statements to be true and decide which of the conclusions logically follow(s) from the statements.

 

Statements :

 

Sachin is a good batsman. Batsmen are intelligent.

 


Conclusions :

 

1. All intelligent people are batsman.

2. Sachin is intelligent.

 

A) Both 1 and 2 follow B) Neither 1 nor 2 follows
C) Only conclusion 2 follows D) Only conclusion 1 follows
 
Answer & Explanation Answer: C) Only conclusion 2 follows

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Q:

Consider the given question and decide which of the following statements is sufficient to answer the question.

 

U, V, W, X and Y are sitting at a round table; who is sitting next to B?

 

Statements :

 

1. D is sitting between A and F.

 

2. C is sitting between B and F.

 

 

A) Both 1 and 2 are sufficient to answer the given question B) 1 alone is sufficient while 2 alone is not sufficient to answer the given question
C) Neither 1 nor 2 is sufficient to answer the given question D) 2 alone is sufficient while 1 alone is not sufficient to answer the given question
 
Answer & Explanation Answer: A) Both 1 and 2 are sufficient to answer the given question

Explanation:
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Q:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

 

Statement I: All cards are labels

Statement II: No posters are labels

 

Conclusion I: No cards are posters

Conclusion II: Some posters are cards

 

A) Only conclusion I follows B) Only conclusion II follows
C) Both conclusions I and II follow D) Neither conclusion I nor conclusion II follows
 
Answer & Explanation Answer: A) Only conclusion I follows

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