Aptitude and Reasoning Questions

Q:

Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages?

A) 8 hrs 45 min B) 8 hrs 42 min
C) 8 hrs D) 8 hrs 34 min
 
Answer & Explanation Answer: D) 8 hrs 34 min

Explanation:

Number of pages typed by Adam in 1 hour = 36/6 = 6
Number of pages typed by Smith in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (6 + 8) = 14
Time taken by both to type 110 pages = (120 * 1/14) = 847 = 8 hrs 34 min.

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Filed Under: Time and Work
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10 6882
Q:

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

A) Rs. 5422 B) Rs. 10,500
C) Rs. 12,800 D) Rs. 15,000
 
Answer & Explanation Answer: B) Rs. 10,500

Explanation:

The ratio of distribution should be:
21 x 15 : 15 x 35 : 35 x 21
= 315 : 525 : 735
= 3 : 5 : 7
The smallest share will be of worth:
3/15 x 52,500 = Rs. 10,500

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Filed Under: Ratios and Proportions
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Q:

The following bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q and R over years 2009 to 2013.

Production of Sugar by Companies P, Q and R during 2009 - 2013

1. The percentage increase in production of Company Q from the year 2009 to the year 2013 is :

1. 80%              2. 90%              3. 60%              4. 100%


2. The average production over the years 2009 - 2013 was maximum for the Company(ies):

1. Q                   2. P                   3. R                   4. P and R


3. The percentage rise or fall in production of Company Q as compared to the previous year is the maximum in the year :

1. 2011             2. 2010             3. 2013             4. 2012


4. The percentage of production of Company R to Production of Company Q is the maximum in the year

1. 2010             2. 2009             3. 2011             4. None of these


5. The ratio of the average production of Company P during the years 2011 to 2013 to the average production of Company Q for the same period is :

1. 23 : 25          2. 27 : 29          3. 15 : 17          4. 9 : 11

Answer

1. Answer : 4


 Explanation : Required Percentage =100-5050×100= 100% 


 


2. Answer : 4 


Explanation : The average production of P = 60+90+50+100+805= 76 


The average production of Q =50+70+70+80+1005  = 74 


The average production of R = 70+80+90+70+705 = 76


Maximum average production = P and R both


  


3. Answer : 2 


Explanation : The percentage rise in 2010 =70-5050×100 = 40% 


The percentage rise in 2011 = 70-7070×100= 0% 


The percentage rise in 2012 = 80-7070×100= 14.28% 


The percentage rise in 2013 =100-8080×100 =25% 


 


4. Answer : 2


Explanation : The percentage of production of Company R to production of Company Q  


in 2009 =7050×100 = 140 


in 2010 =8070×100 = 114.28 


in 2011 =9070×100 = 128.57 


in 2012 = 7080×100= 87.5  


in 2013 = 70100×100= 70 


 


 


5. Answer : 1


Explanation : Average production of company P during the years 2011 to 2013 =50+100+803 = 2303 


Average production of company Q during the years 2011 to 2013 =70+80+1003 = 2503


Required ratio = 23 : 25

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Subject: Bar Charts

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Q:

Select the alternative in which the specified components of the key figure (X) are found?

A) a B) b
C) c D) d
 
Answer & Explanation Answer: A) a

Explanation:
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Filed Under: Image Analysis

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Q:

Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ?

A) 22% B) 27%
C) 20% D) 18%
 
Answer & Explanation Answer: C) 20%

Explanation:

Given

      125% ---- 3400

=> 100% ---- ?

=> ? = 3400x100/125 = 2720

=> Cost price of the article = Rs. 2720

Profit when article sold at Rs. 3265 = 3265 - 2720 = 545

Hence, Profit% = Gain x 100/cost price

=> P% = 545 x 100/2720

=> P% = 20%

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Filed Under: Profit and Loss
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15 6876
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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4 6876
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 6863
Q:

How much does a clock lose per day, if its hands coincide ever 65 minutes ?

A) 1440/143 min B) 184/13 min
C) 1425/18 min D) 541/9 min
 
Answer & Explanation Answer: C) 1425/18 min

Explanation:

55 min. spaces are covered in 60 min.
60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.
Loss in 65 min. = (720/11 - 65 ) = 5/11
Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.

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Filed Under: Calendar
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