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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 is sufficient to answer the question?

 

Find the age of the mother from the given statements.

 

Statements :

 

I. Mother's age is 10 years more than her son

 

II. Sons age is 24 years more than daughter

 

A) Only II is sufficient while I is not B) Neither I nor II is sufficient
C) Both I and II are sufficient D) Only I is sufficient while II is not
 
Answer & Explanation Answer: A) Only II is sufficient while I is not

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Q:

Consider the given statement to be true even if they seem to be at variance with the commonly known facts and decide which of the given conclusions logically follows from the given statement.

 

Statement :

 

Some tigers are cats. All the cats are rats.

 

Conclusions :

 

1. All the rats are cats.

2. Some of the tigers are rats.

 

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

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Q:

Read the statements and identify the logically correct conclusion from the given information.

 

Statement :

 

This scale is transparent

 

Conclusion :

 

1. The scale is made up of glass

2. The scale is made up of plastic

 

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

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Q:

"Gain your weight by 5 kgs in 3 sessions"- an advertisement

 

Assumption 1: if you join in 6 sessions your weight will be lost by 10 kgs.

Assumption 2: the company is dealing with weight gain programs"

 

A) Neither I nor II is implicit B) II only is implicit
C) I only is implicit D) Either I or II is implicit
 
Answer & Explanation Answer: A) Neither I nor II is implicit

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Q:

Consider the given statement to be true even if they seem to be at variance with the commonly known facts and decide which of the given conclusions logically follows from the given statement.

 

Statement :

 

This bowl has soup.

 

Conclusion :

 

1. The bowl has tomato soup.

2. The soup is too hot.

 

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

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Q:

Statements followed by some conclusions are given below.

 

Statement :

1. M > L > N
2. N = R

 

Conclusions :

I. R > L
II. R < M

 

Find which of the given conclusions logically follows 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: 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 I: No taps are nozzles

Statement II: Some valves are taps

 

Conclusion I: All nozzles are valves

Conclusion II: All valves are nozzles

 

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: D) Neither conclusion I nor conclusion II follows

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Q:

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

 

Statements :

 

All boys are girls. All girls are monkeys.

 

Conclusions :

 

1. All monkeys are boys.

2. All boys are monkeys.

 

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

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