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:

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

 

X took a loan from Y on compound interest. Find the rate per annum?

 

Statements :

1. After 3 years, X paid Rs. 500 as interest

2. After 3 years, X paid Rs. 1500 to clear his loan with Y.

 

A) 2 alone is sufficient while 1 alone is not sufficient to answer the question B) 1 alone is sufficient while 2 alone is not sufficient to answer the question
C) Both 1 and 2 are sufficient to answer the question D) Either 1 or 2 is sufficient to answer the question
 
Answer & Explanation Answer: D) Either 1 or 2 is sufficient to answer the question

Explanation:
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Q:

An Assertion (A) and a Reason (R) are given below.

 

Assertion (A) : We feel comfortable in hot and humid climate.

Reason (R) : Sweat evaporates faster in humid climate.

 

Choose the correct option.

 

A) A is true but R is false B) A is false but R is true
C) Both A and R are true and R is the correct explanation of A D) Both A and R are false
 
Answer & Explanation Answer: D) Both A and R are false

Explanation:
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Q:

An Assertion (A) and a Reason (R) are given below.

 

Assertion (A) : In India judiciary is independent of the executive.

Reason (R) : Judiciary favors the government and helps in the implementation of its plans.

 

Choose the correct option.

 

A) A is true but R is false B) A is false but R is true
C) Both A and R are true and R is the correct explanation of A D) Both A and R are false
 
Answer & Explanation Answer: A) A is true but R is false

Explanation:
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Q:

An Assertion (A) and a Reason (R) are given below.

 

Assertion (A) : Earthworms are not good for agriculture.

Reason (R) : Earthworms break down the soil into fine particles and make it soft.

 

Choose the correct option.

 

A) A is true but R is false B) A is false but R is true
C) Both A and R are true and R is the correct explanation of A D) Both A and R are false
 
Answer & Explanation Answer: B) A is false but R is true

Explanation:
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Q:

Take the given statements to be true even if they seem to be at variance from commonly known facts.

Statements :

A : All mothers are aunts.
B : All aunts are ladies.

Conclusions:

1. All ladies are mothers.
2. All ladies are aunts.

 

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

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Q:

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

 

Statement :

Weight is also a force.

 

Conclusions :

1. The unit of weight is Newton.
2. The unit of weight is Kilograms.

 

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

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Q:

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

 

Statements :

Dhoni is a good batsman.
Batsmen are smart.

 

Conclusions :
1. All smart people are batsmen.
2. Dhoni is smart.

 

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

Explanation:
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Q:

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

If X scored an average of 50 marks in History, Language and Science, how much did he score in Science?

 

Statements :

1. His average score in History and Language is 25.
2. He got 30 marks in Language.

 

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

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