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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.

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In these questions, a relationship between different elements is shown in the statements. The statements are followed by two conclusions.

Statements: M < S<=T = R>=D > E>=F, G<=S < H

Conclusions:

I.G = R

II.G < R

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

Explanation:

Given:M < S<=T = R>=D > E>=F ...(i)

G<=S < H ...(ii)

Combining (i) and (ii), we get

G<=S<=T = R>=D > E>F andH > S<=T = R>=D > E>=F and

G<=S > M and M < S < H

(I) G = R is not true.

(II) G < R is not true.

But both are complamentary are pair.

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

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II.E > C

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

Explanation:

I.A<=B<=D, So D>=A is true.

II. E>B > C, So E > C is true.

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

Statements: A > B<=C < D, C > E, F>=D

Conclusions:

I.A > E

II.F > E

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: B) if only conclusion II is true.

Explanation:
I. A > B<=C > E, So A>E is not true
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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 each question given below four conclusions are followed by statements. You have to take the three given statements to be true (even if they seem to be at variance from the commonly known facts). Read the conclusions and decide which of the following set of statement indicate that conclusion is logically follows.

Statements :
1. All chairs are tents.

2. No chairs is jugs.

3. No jugs is glasses.

4. No glasses is pots.

Conclusions :
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II. All glasses are chair.

III. Some jugs are tents.

A) Only conclusion I follows B) Both conclusion II & III follows
C) None follows D) Only conclusion II follows
 
Answer & Explanation Answer: C) None follows

Explanation:
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Q:

Find which of the two conclusions I and II given below is/are definitely true from the the given statements.

 

Statements: I > W > T > N, I = F = G = C

 

Conclusions:    I. W > I                 

                         II. C > N

A) Only Conclusion I is true B) Only Conclusion II is true
C) Both conclusions I & II are true D) Neither conclusion I nor II is true
 
Answer & Explanation Answer: B) Only Conclusion II is true

Explanation:

From the given Statements : 

 1. I > W > T > N
 
 2. F = G = C
 

Conclusions are : 

 I. W > I (False)

 II. C > N (True)

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Q:

Study the question and all the three statements given and decide whether any information provided in the statements are redundand and can be dispensed with while answering the questions.

Question : 

What is the rate of interest per year ?

Statements :

1. The amount invested is Rs. 6000.
2. The amount becomes Rs. 6741.60 in 2 years at compound interest.
3. The difference between compound interest and simple interest in 2 years is Rs. 21.60.

A) Only 3 B) Both 2 & 3
C) Any two of (1, 2 & 3) D) None
 
Answer & Explanation Answer: C) Any two of (1, 2 & 3)

Explanation:

Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.

Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.

Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.

Hence by using any two of the three statements(1,2&3) we get rate of interest.

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