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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:

Read the following statements and the conclusions that follow. Decide which of the two conclusions follow from the given statements.


Statements:
• All swans are parrots.
• No parrot is a cuckoo.


Conclusions:
1. No swan is a cuckoo.
2. All parrots are swans.

A) Only conclusion 2 follows B) Only conclusion 1 follows
C) Either conclusion 1 or 2 follows D) Both conclusions 1 and 2 follow
 
Answer & Explanation Answer: B) Only conclusion 1 follows

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: AIEEE , Bank Exams , CAT

0 1006
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.


Statement:
(I) All radios are electric goods.
(II) All table­lamps are electric goods.


Conclusions:
(I) Some radios are table­lamps.
(II) Some table lamps are radios.

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

Explanation:
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0 894
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:
No books are notebooks
Statement II:
All diaries are books

Conclusion I:
No notebooks are diaries
Conclusion II:
All diaries are notebooks

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

Explanation:
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0 812
Q:

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this.

H is the mother of T. How is T related to W?

I. W is the only daughter of H

II. W is the sister of T.

A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. B) II alone are not sufficient to answer the question. B. The data in statement II alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
C) The data either in statement I alone or in statement II alone are sufficient to the answer the question. D) The data in both the statement I and II together are not sufficient to answer the question.
 
Answer & Explanation Answer: A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Explanation:

 I. W is the only daughter of H.

Since, W is the only daughter, so T is the son and T is the brother of W. II. W is the sister of T

 

So, T may be Sister or Brother of W, So, data in Statement I alone are sufficient to answer the question.

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0 765
Q:

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this.

Six persons Akhilesh, Bhavesh, Cindy, Divakar, Erika and Farheen are having different heights. Who among the following is the tallest person?

I. Only two persons are taller to Bhavesh but only one person is shorter to Erika. Akhilesh is taller to Cindy but not the tallest.

II. Divakar is taller to Akhilesh but shorter to Farheen. Akhilesh is taller to Cindy but shorter to Bhavesh.

A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C) The data either in statement I alone or in statement II alone are sufficient to answer the question. D) The data in both the statements I and II together are not sufficient to answer the question.
 
Answer & Explanation Answer:

Explanation:

From I and II, Only two persons are taller to B but only one person is shorter to E.

__>__>Bhavesh>__>Erika>__ Akhilesh is taller to Cindy but shorter to Bhavesh.

__>__>Bhavesh>Akhilesh>Erika>Cindy Divakar is taller to Akhilesh but shorter to Farheen.

Divakar>Farheen>Bhavesh>Akhilesh>Erika> Cindy

So, Statement I and II together are necessary to answer the question. Hence, option E.

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0 1728
Q:

The following question consists of four statements followed by two conclusions. Consider the statements to be true even if they vary from commonly known facts and find out which of the conclusions logically follow(s).


Statements:
All papers are books.
All pencils are pens.
No paper is pencil.
No stationary is book.

Conclusions:
I. Some papers are stationary is a possibility.
II. Some pens are books as well as papers.

A) Only conclusion I follow. B) Only conclusion II follow.
C) Either conclusion I or II follows. D) Neither conclusion I or II follows.
 
Answer & Explanation Answer: D) Neither conclusion I or II follows.

Explanation:

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0 1378
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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0 835
Q:

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


Statements:
Some rings are bracelets.
All bracelets are earrings.
All earrings are necklaces.

Conclusions:
I. All those bracelets which are earrings can never be a ring is a possibility.
II. There is a possibility that all rings are necklaces.

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

Explanation:
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0 991