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:

Read the following question and decide which of the given statements is/are sufficient.

 

What is the total number of illegal immigrants?

 

Statements :

 

1. 30% of the total illegal immigrants are from Bangladesh.

2. Remaining are from India.

 

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

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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 :

 

Some teachers are rich.

All diabetics are rich.

 

Conclusions :

 

1. Some diabetics are teachers.

2. Some rich people are diabetic.

 

 

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

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Q:

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

 

If LIKE GOOD HABITS is coded as 126, then what will be the code for HABITS?

 

Statements:

 

1. I LOVE PICTURES is coded as 785.

2. THOUGHT BECOMES HABIT is coded as 856.

 

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

Explanation:
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Q:

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

 

Statement :

 

Public smoking has increased in the current year.

 

Conclusions :

 

1. Government should ban public smoking.

2. Government should create awareness about ill effects of public smoking.

 

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

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Q:

Statements followed by some conclusions are given below.

 

Statements :

 

1. Some blues are violets whereas some are purples.

2. All oranges are reds and some reds are violets.

3. All purples are red.

 

Conclusions :

 

I. Some reds are blues.

II. Some oranges are violets.

 

Find which of the given conclusions logically follow from the given statements.

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

Explanation:
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Q:

An assertion (A) and a reason(R) are given below.

Assertion (A) : Some land outside the forest area is not fertile.

Reason (R) : Extensive cattle grazing leads to loss of soil fertility.

 

A) Both A and R are true and R is the correct explanation of A B) Both A and R are true, but R is not the correct explanation of A
C) A is true, but R is false D) A is false, but R is true
 
Answer & Explanation Answer: B) Both A and R are true, but R is not the correct explanation of A

Explanation:
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Q:

A junior college inducts students based on the following criteria -

 

1. Students who scored above 75% in physics, 85% in Mathematics and 70% in Chemistry.

2. Students who scored at least 60% in English.

3. Students who are good in a sport or play a musical instrument or know a dance form.

 

Which student among the following will the college definitely take?

 

 

A) Shakti with 80% in Physics, 65% in Chemistry, 85% in Mathematics, 61% in English and plays veena. B) Megha secured 80% in Physics, 87% in Mathematics, 70% in English, 75% in Chemistry and is a singer.
C) Sheela secured 78% in Physics, 70% in Chemistry, 85% in Mathematics, 75% in English knows Manipuri folk dance. D) Mallika secured 70% in Chemistry, 70% in Mathematics, 85% in Physics, 65% in English and plays basketball.
 
Answer & Explanation Answer: C) Sheela secured 78% in Physics, 70% in Chemistry, 85% in Mathematics, 75% in English knows Manipuri folk dance.

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 tickets are coupons

 

Statement II: All cards are tickets

 

Conclusion I: Some coupons are cards

 

Conclusion II: Some cards are coupons

 

 

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: C) Both conclusions I and II follow

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