Verbal Reasoning - Logical Deduction Questions

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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Filed Under: Statement and Conclusions
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Q:

Consider the given arguments as true and decide which of the given assumptions is/are implicit.

Argument :
The best bus travels company has decided to increase its fare by 10%.

Conclusions :
1. Passengers may opt for other buses costing less than the best bus travels company.
2. The demand for the buses by passengers may remain unchanged even after the fare hike.

 

A) Both 1 & 2 are implicit B) Only assumption 1 is implicit
C) Only assumption 2 is implicit D) Neither 1 nor 2 is implicit
 
Answer & Explanation Answer: A) Both 1 & 2 are implicit

Explanation:
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Q:

No national productivity measures are available for underground industries that may exist but remain unreported. On the other hand, at least some industries that are run entirely by self-employed industrialists are included in national productivity measures. 

 

From the information given above, it can be validly concluded that

A) there are at least some industries run entirely by self-employed industrialists that are underground industries B) no industries that are run entirely by self-employed industrialists operate underground
C) there are at least some industries other than those run entirely by self-employed industrialists that are underground industries D) there are at least some industries run entirely by self-employed industrialists that are not underground industries
 
Answer & Explanation Answer: D) there are at least some industries run entirely by self-employed industrialists that are not underground industries

Explanation:

D is the only argument that will be apt for the passage

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Filed Under: Deriving Conclusions From Passages
Exam Prep: GRE

4 6548
Q:

Read the following paragraph and answer the question based on it.

 

The ongoing progress in technologies continue to throw up fresh risks related to data privacy nd security. There can be no true progress in technologies without such risks. The IT industries need to be equipped to handle such risks.

 

Which option relates best to the above statement ?

 

A) True progress in technology involves some risks too B) IT industries are not equipped to handle such threats
C) Progress must be free of risks and threats D) Data privacy and security is not important to the IT industries
 
Answer & Explanation Answer: A) True progress in technology involves some risks too

Explanation:
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2 6518
Q:

Statements : Government has spoiled many top ranking financial institutions by appointing bureaucrats as Directors of these institutions.

Conclusions :

a) Government should appoint Directors of the financial institutes taking into consideration the expertise of the person in the area of finance.
b) The Director of the financial institute should have expertise commensurate with the financial work carried out by the institute.

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

Explanation:

According to the statement, Government has spoiled financial institutions by appointing bureaucrats as Directors. This means that only those persons should be appointed as Directors who are experts in finance and are acquainted with the financial work of the institute. So, both a and b follows.

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2 6503
Q:

Consider the given argument and decide which of the given assumptions is (are) implicit.

Argument :

Due to water crisis in the city, the authority had asked all the citizens to reduce their water consumption by 25%.

Assumptions:

1. Many citizens may reduce their water consumption.
2. Many activists may protest to this advisory by the authority.

 

A) Neither 1 nor 2 is implicit B) Only assumption 1 implicit
C) Only assumption 2 implicit D) Both 1 and 2 are implicit
 
Answer & Explanation Answer: B) Only assumption 1 implicit

Explanation:
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Q:

Six persons A, B, C, D, E and F lives on 6 different floors of a same building. Bottommost floor is first, the floor above it is second and so on till topmost floor which is sixth. A lives on odd numbered floor. C lives immediately below A. Two floors gap between floors of C and F. D lives immediately above F. B lives above E, who lives below F. How many persons live below E? 

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: A) 0

Explanation:

Floors   Persons

6.           D

5.           F

4.           B

3.           A

2.           C

1.           E

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Q:

A man wears socks of two colours - Black and White. He has altogether 30 black socks and 10 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?

A) 3 B) 4
C) 5 D) 2
 
Answer & Explanation Answer: A) 3

Explanation:

Given there are 2 coloured socks, which is black and White
Let suppose 3 is choosen at random
then three conditions arises
1. all are black
2.all are white
3. either it will have 2 black and 1 white or it will have 2 white and 1 black
so in all the conditions as above mentioned we are getting atleast one pair of socks.

So, he must take out 3 to be sure that he has a matching pair.

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Filed Under: Logic
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