Saturday, December 11, 2010

Aptitude Preparation Blog - 1

Hey Friends,
I am an Engineer seeking Job in companies like TCS, Patni , Infosys and many other high profile companies. It is a dream for me but all engineers have to pass through the phase of aptitude..
So lets begin...
All the question here are more or less asked in any of the placement papers of big companies. It will help u a lot.
Ideally u should be able to answer them in not more than 1.5 min..
So lets start....
Lets take a look at the question and give answers in 2 days and check whether u gave it correct or not..
Answers will be posted along with the solution after 2 days....
For more details keep visiting my Blogs....

1. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age of seventh person?



Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and unwanted datas (i dint mention above) in exam which may confuse you on solving technique.

Let x be current average age of first 6 persons in queue and current age of seventh person be y.  Then 6x will become the sum of those 6 persons age.

Now, let compute the sum of those 6 persons after two years, 6x+12 (as each and individual increase their age by 2). hence its average become (6x+12)/6 = 43 (give in question itself).

So now we can compute x from above equation. (x = 41, 6x = 246)
Let now we compute y, ((6x+y)/7) = 45, as we have value of x, compute y.

Ans: 69



2. A man starts his walking at from point A; he walks at the rate of 4km/hr in plains and 3km/hr in hills to reach the point B. During his return journey he walks at the rate of 6km/hr in hills and 4km/hr in plains and reaches the point A at 9PM.What is the distance between A and B?



Solution:

       T1+T2=6
                T1-time for forward journey,
                T2-time for return journey
  D1+D2=forward /return distance
  D1-distance in plains
  D2-distance in hills
  D1/4 +D2/3=T1 (forward time)
  D1/4 +D2/6=T2 (return time)
                Adding we will get D1+D2=12 km
Ans: 12 km


3. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?


Solution:
 As we have speed and travel time of horse, we can get distance travelled by it...  
Hence d = 22*6 = 132km,

Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans: 16.5km/hr.

4. In a Knockout tournament 51 teams are participated, every team thrown out of the tournament if they lost twice. How many matches to be held to choose the winner?


Ans: 99 matches

5. 3, 22 , 7, 45, 15, ? , 31


Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the actual question was some what twist mentioning fibonacci series and more over question was in statements (no numbers).. hence first try to understand the question well.

here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)

Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.


6.  In Ahmedabad many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?


Solution:

For 1 to 10 - 1 six
   11 to 20 - 1 six
Similarly upto 59 we utilise six, 6 times
from 60 to 69 (including 66) - 11 times
from 70 to 100 - 3, hence ans = 6+11+3 = 20
Ans:20.



7. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2

Ans: 2 (simple algebra, I think no need of explanation)


As i told u all the question along with their solutions.Hope you liked it and solved them.This questions were asked in TCS placement papers.


Lets try few more aptitude question on my next post.

all the best!!!




Personal Interview Question are coming soon..
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