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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:

Which of the following statement(s)is/are TRUE?

I. 2√3 > 3√2

II. 4√2 > 2√8

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

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Exam Prep: Bank Exams , CAT

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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: No bikes are two-wheelers

Statement II: All wheels are bikes

Conclusion I: No two-wheelers are wheels

Conclusion II: All wheels are two-wheelers

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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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 : No squares are rectangles.
Statement 2 : All rectangles are triangles.


Conclusion I : Some triangles are squares.
Conclusion II : Some triangles are rectangles.

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: B) Only conclusion II 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 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

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Q:

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.


Statements:
I. Some cups are plates.
II. All spoons are blue.
III. No plates are spoon.


Conclusions:
I. Some cups are not spoon.
II. Some plates are not blue.
III. Some cups are not blue.
IV. Some blue are not plates.

A) Only conclusion (I), (III) and (IV) follow. B) Only conclusion (II) and (IV) follow.
C) Only conclusion (II), (III) and (IV) follow. D) Only conclusion (I) and (IV) follow.
 
Answer & Explanation Answer: D) Only conclusion (I) and (IV) follow.

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Q:

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion
logically follows the given statements.


Statements:
I. Some girls are clever.
II. All clever are hardworking.


Conclusions:
I. Some girls are not hardworking.
II. Some girls are hardworking.
III. Some hardworking are not girls.

A) Only conclusion (I) and (II) follow. B) Only conclusion (II) follows.
C) Only conclusion (I) and (III) follow. D) All conclusions follow.
 
Answer & Explanation Answer: B) Only conclusion (II) follows.

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Q:

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:
I. All LED are bulb.
II. Some bulbs are not tube light.

Conclusions:
I. Some tube lights are LED.
II. All LED are tube lights.

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

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Q:

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.


Statements:
I. Some pens are pencils.
II. Some pens are erasers.


Conclusions:
I. Some pencils are erasers.
II. All erasers are pens.

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

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