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Q:

Question :

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

Statements :

a. The captain is eleven years older than the youngest player.

b. The average age of 10 players, other than the captain is 27.3 years.

c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

A) All a,b and c follows B) Only a and c follows
C) Either b alone or a & b follows D) None

Answer:   C) Either b alone or a & b follows



Explanation:

From statement (b)
Average of 11 players = 11 x 28 = 308
Average of 10 players = 10 x 27.3 = 273
Age of captain = 308 - 273 = 35.

From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers age
From the statement (c),the averge age of 3groups of 3players each was given,
It means total 9 players age was given indirectly,
1st group: 25 x 3 = 75
2nd group: 28 x 3 = 84
3rd group: 30 x 3 = 90
Total  is 75 + 84 + 90 = 249
Now {C + Y + (9 players age sum)}/11 = 28
Y + 11 + Y + (249) = 28 x 11=308
2Y+260=308
2Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35

Therefore, statement b alone or a & c only is the answer.

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) Some books are toys.
(II) No toy is red.

 

Conclusion:
(I) Some books are red.
(II) Some toys are books.

 

A) Conclusion I follows B) Conclusion II follows
C) Neither I nor II follows D) Both I and II follows
 
Answer & Explanation Answer: B) 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 statements 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) Empty set is a subset of any set.
(II) A set is a subset of power set.

 

Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.

 

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

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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 statements 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) Library is a place where one may find any answer to his/her question.
(II) Books in any form whether physical or electronic are advantageous for resolving any kind of query.

 

Conclusion:
(I) Every question has an answer and one can find it in a book.
(II) Books give all related information pertaining to the title they have.

 

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

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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 statements 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 young girls are modern.
(II) No modern men are superstitious.

 

Conclusion:
(I) No girls are superstitious.
(II) No young men are superstitious.

 

A) Conclusion I follows B) Conclusion II follows
C) Neither I nor II follows D) Both I and II follows
 
Answer & Explanation Answer: C) Neither I nor 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 statements 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 flowers are stems.
(II) All stems are roots.

 

Conclusion:
(I) All roots are flowers.
(II) All stems are flowers.

 

A) Conclusion I follows B) Conclusion II follows
C) Neither I nor II follows D) Both I and II follows
 
Answer & Explanation Answer: C) Neither I nor 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 statements 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 dogs are rats.
(II) Some rats are lizards.

 

Conclusion:
(I) Some dogs are lizards.
(II) Some lizards are dogs.

 

A) Conclusion I follows B) Conclusion II follows
C) Neither I nor II follows D) Both I and II follows
 
Answer & Explanation Answer: C) Neither I nor 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 statements 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 dogs are bullocks.
(II) All bullocks are goats.

Conclusion:
(I) All dogs are goats.
(II) All goats are dogs.

 

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

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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 mobiles are phones

Statement II:
All phones are devices


Conclusion I:
Some phones are devices

Conclusion II:
No devices are phones

 

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: A) Only conclusion I follows

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