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
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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Q:

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

 

Statements :

 

Some carpenters are plumbers. Some plumbers are daily wage labourers.

 

Conclusions :

 

1. Some plumbers are carpenters

2. Some daily wage labourers are plumbers

 

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

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Q:

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

 

Statement :


No mango is an orange. No orange is an apple. Some mangoes are apples.

 

Conclusions :

1. No apple is a mango

2. No apple is an orange

3. Some oranges are mangoes

4. All apples are mangoes

 

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

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Q:

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

 

What is the birth year of Mr. Rajesh?

 

Statements :

 

1. At present Mr. Rajesh is 25 years younger to his father

 

2. Mr. Rajesh's sister who was born on 1974 is 35 years younger to his father

 

 

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

Explanation:
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Q:

Decide which of the conclusions logically follow(S) from the information given in the statement.

 

Statement :

 

A company cannot make profit unless both, management and employees work together.

 

Conclusions :

 

1. The workers should be advised to cooperate with the management.

 

2. The management must be advised to cooperate with the employees.

 

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

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Q:

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

 

Five people P, Q, R, S and T, are standing in a line, who is in the middle?

 

Statements:

 

1. Q is to the left of T.

2. S is in between P and T.

 

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

Explanation:
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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 :

 

Students passing from premier institutions such as IIM, IIT and IISC get placed in foreign countries and receive more salary than they received in India.

 

Conclusions :

 

1. Companies in India should pay the same salary as companies in foreign countries.

2. Students from these institutions should be barred from going to foreign countries.

 

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

Explanation:
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Q:

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

 

Statements :

 

Some crows are peacocks, all peacocks are ducks. Some ducks are pigeons.

 

Conclusions :

 

1. Some ducks are crows.

2. Some pigeons are peacocks.

 

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

Explanation:
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Q:

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

 

How many students in the class play Chess?

 

Statements :

 

1. Only girls play Chess.

2. There are 20 girls and 15 boys in the class.

 

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) Neither statement 1 nor 2 is sufficient
 
Answer & Explanation Answer: C) Both statement 1 and 2 are sufficient

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