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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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Related Questions
Q:

In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement:
K > R = L, P > L, R ≥ S
Conclusion:
I. S < L
II. L = S

A) If only conclusion I follow. B) If only conclusion II follow.
C) If either conclusion I or conclusion II follows. D) If neither conclusion I nor II follows.
 
Answer & Explanation Answer: C) If either conclusion I or conclusion II follows.

Explanation:

K > R = L, P > L, R ≥ S
L = R ≥ S
Conclusions:
I. S < L
II. L = S
This forms a complementary pair - S is either smaller or equal to L. Hence, the correct option is Either conclusion I or conclusion II follows.

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Q:

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

Statements:
(I) All hill-stations have a sunset point.
(II) X is a hill station.

Conclusion:
(I) X has a sunset point.
(II) Place other than hill-station do not have sunset point.

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

Explanation:
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Q:

Consider the given statement true and decide which of the conclusions logically follow(s) from the information given in the statement.

Statements:
1. Some fruits are vegetables.
2. Some vegetables are not edible.

Conclusions:
1. Some fruits are not edible.
2. Some vegetables are fruits.

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

Explanation:
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Q:

Consider the given statement true and decide which of the conclusions logically follow(s) from the information given in the statement.

Statement:
The population in metro cities is increasing tremendously which leads to the shortage of living space and a drop in living conditions of the people.

Conclusions:
1. Government should re-plan city development.
2. Government should demolish illegal buildings and build cottages for people.

A) Both conclusions 1 and 2 follows B) Neither conclusions 1 nor 2 follows
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.

Is Raju fond of travelling?


Statements :

1. Raju has seen East, West, North and Southern parts of India.
2. Raju likes to be in the company of his friends.

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

Explanation:
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Q:

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

Is X-5 even? X is a real number.

Statements :

1. X-15 belongs to integer

2. X-10 is an odd integer

A) Statement 1 alone is sufficient while sufficient 2 alone is insufficient B) Neither sufficient 1 nor 2 is sufficient
C) Statement 2 alone is suuficient while sufficient 1 alone is insufficient D) Both statements 1 and 2 are sufficient
 
Answer & Explanation Answer: B) Neither sufficient 1 nor 2 is sufficient

Explanation:
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Q:

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


Between X and Y who is the better dancer?

Statements :
1. X had given more dance auditions.
2. Y had given more stage performances.

A) Both statements 1 and 2 are sufficient B) Neither sufficient 1 nor 2 is sufficient
C) Statement 1 alone is sufficient while sufficient 2 alone is insufficient D) Statement 2 alone is suuficient while sufficient 1 alone is insufficient
 
Answer & Explanation Answer: D) Statement 2 alone is suuficient while sufficient 1 alone is insufficient

Explanation:
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Q:

Which of the following is True?

A) 29/6 = 53/12 B) 29/6 > 43/12
C) 29/6 < 43/12 D) 29/6 = 43/12
 
Answer & Explanation Answer: B) 29/6 > 43/12

Explanation:
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