1
Q:

I. a2-7a+12 = 0,

II. b2-3b+2 = 0

Solve both the equations to find the values of a and b  ?

A) if a > b B) if a < b
C) if the relationship between a and b cannot be established. D) if a ≤ b

Answer:   A) if a > b



Explanation:

I.  (a - 3)(a - 4) = 0

 

=> a = 3, 4

 

II.   (b - 2)(b - 1) = 0

 

=> b = 1, 2

 

=> a > b

Subject: Statement and Conclusions
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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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8 4189
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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4 2537
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 & Explanation 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.

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3 2882
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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3 28061
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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4 21216
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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4 5087
Q:

Statement :

The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins.

Conclusions:

A. Indian scientists cannot develop enzymes.

B. If a suitable method involving less cost is developed then many more food protein would be obtained.

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

Explanation:

There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.

So conclusion A does not follow.

In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.

Thus, conclusion B does not follow either.

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4 15200
Q:

Draw the conclusion from the following sentences

1. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.
2. Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons.
3. Of the three apartment buildings, the Livingston Gate costs the most.

If the first two statements are true, the third statement is

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

Since the Gaslight Commons costs more than the Riverdale Manor and the Livingston Gate costs more than the Gaslight Commons, it is true that the Livingston Gate costs the most.

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Subject: Statement and Conclusions
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2 24988