Verbal Reasoning - Logical Deduction Questions

Q:

In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer

I. x2=529  II. y =529

A) x>y B) x≥y
C) x<y D) x≤y
 
Answer & Explanation Answer: D) x≤y

Explanation:

x = ±23

And, y = 23

hence, x ≤ y

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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 1 : All clocks are watches.
Statement 2 : Some clocks are alarm.


Conclusion I : Some alarm are watches.
Conclusion II : All watches are alarm.

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:

In the question below are given three statements followed by two conclusions which are numbered as I, and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.


Statements:
Some pages are papers.
No page is a book.
All books are pencils.

Conclusions:
I. All books can never be papers.
II. All pencils are papers is a possibility.

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

Explanation:

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Q:

In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.


Statements: P > Q ≤ R > Z;  Y > X > P ≥ U; Q ≥ S < T

Conclusions:
I. P > S
II. Z < T

A) None is true B) Only I is true
C) Only II is true D) Either I or II is true
 
Answer & Explanation Answer: B) Only I is true

Explanation:
Given statements: P > Q ≤ R > Z; Y > X > P ≥ U;
Q ≥ S < T
On combining: P > Q ≥ S < T; Y
> X > Q ≤ R > Z
Conclusions:
I. P > S→True (as P > Q≥S→P > S)
II. Z < T→ False(as Z < R≥Q≥S < T→thus clear relation between Z and T cannot be Determined)
 
Therefore, only conclusion I is true.
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Q:

You are given a question and two statements. Identify which of the statements is/are necessary,Sufficient to answer the question.
M, A, N and K are standing in a row. Based on the following information, if we aimnge shortest to tallest, who is standing last?
Statements:
1. A is shorter than K
2. M is shorter than A

A) Statements 1 and 2 together are not sufficient B) Statement 1 and 2 together are sufficient to solve
C) Statements 1 alone is sufficient D) Statement 2 alone is sufficient
 
Answer & Explanation Answer: A) Statements 1 and 2 together are not sufficient

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: Some buttons are switches

Statement II: All buttons are connectors

 

Conclusion I: Some switches are connectors

Conclusion II: Some connectors are buttons

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

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:

In the following questions, relationship between different elements are shown in the statements. These statements are followed by two conclusions. Give answer

Statements: K>L = M<=N, O < L>=P

Conclusions:

I.K>=O

II.N>=O

A) if only conclusion I is true. B) if only conclusion II is true.
C) if either conclusion I or II is true. D) if neither conclusion I nor II is true.
 
Answer & Explanation Answer: D) if neither conclusion I nor II is true.

Explanation:

I. K>=L>O, So K>=O is not true

II. O< L = M<=N, So N>=O is not true.

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