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Q:

Assuming the given statements to be true, find which of the two conclusions A and B given below is/are definitely true.

Statements: C < T < L= P > Q,  N > C > Y

Conclusions:   A. P > Y       B. Y < P

A) only conclusion B is true. B) only conclusion A is true.
C) neither conclusion I nor II is true. D) either conclusion I or II is true.

Answer:   A) only conclusion B is true.



Explanation:

From given statements, we can conclude that

N > C < T < L= P > Q  .....(1)

Here given that C > Y but in eq(1) we got that C < T < T <= P => Y is definitely less than P.

So only conclusion B is True.

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 :
 
I. All pots are tents.

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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Q:

Statements :- 
 
All kids are God.
 
No God is a Human.
 
Some Human are Son.
 
All Son are Men.
 
Conclusions :- 
 
(a) Some Son are not God.
 
(b) Some Men are Human.

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

Explanation:
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Q:

In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b.

1.  5a2-18a+9=0

2.  3b2+5b-2=0

A) a >= b B) a <= b
C) a < b D) a > b
 
Answer & Explanation Answer: D) a > b

Explanation:

From solving 1 and 2 we get,

 

1.

5a(a-3)-3(a-3) = 0

 

(5a-3)(a-3) = 0

 

a = 3 or 3/5

 

2. 

 

3b(b+2)-1(b+2) = 0

 

b = -2 or b = 1/3

 

Here when a = 3, a > b for b = -2 and b = 1/3

 

when a = 3/5. a > b for b = -2 and b = 1/3.

 

Hence, it is clear that a > b. 

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Q:

Read both the statements given below and answer the question.

Q : Which train did Harish catch to go to office ?

Statements :

A. Harish missed his usual train of 4.15 p.m. A train comes in every 15 minutes.

B. Harish did not catch the 4.45 p.m. train or any train after that time.

A) If statement B alone is sufficient but statement A alone is not sufficient. B) If statement A alone is sufficient but statement B alone is not sufficient.
C) If both statement together are sufficient, but neither statement alone is sufficient. D) If statement A and B together are not sufficient.
 
Answer & Explanation Answer: D) If statement A and B together are not sufficient.

Explanation:

From both statements we cannot conclude the train catched by Harish

Since he missed at 4.15 and train coes at 4.30, 4.45, 5.00,...

But in B given that he didn't catch the train at 4.45 and after that.

So both statements A & B together are not sufficient to answer the question.

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Q:

What is the value of KL ?

Statement A: K2= 4.
Statement B: L = 0.

A) Only A is sufficient B) Only B is sufficient
C) Both (A) and (B) are sufficient D) None of the above
 
Answer & Explanation Answer: B) Only B is sufficient

Explanation:

From statement B, 

As the value of L = 0, the value of KL = 0.

Hence only statement B is sufficient.

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Q:

How long will it take for two pipes A and B to fill an empty cistern if they worked alternately for an hour each ?

A. Working alone, Pipe A can fill the cistern in 40 hours
B. Pipe B is one third as efficient as Pipe A

A) Only A is sufficient B) Only B is sufficient
C) Both (A) and (B) are sufficient D) None
 
Answer & Explanation Answer: C) Both (A) and (B) are sufficient

Explanation:

From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.

From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.

Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.
Pipe B takes 120 hours to fill the cistern.

If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.

If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled 1/40 + 1/120 = 1/30  th of the tank in an hour. Or the cistern will fill in 30 hours.

If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled 1/120 + 1/40 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.

As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.

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