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Tickle Your Grey Cells

Puzzle corner is a dedicated section for honing analytical, mathematical and reasoning skills. In this section every week you will find five Puzzles. Theses mind twisters have been carefully selected after a thorough research and provide right inputs for tickling your grey cells. Solving puzzles is considered very good exercise so as to remain mentally active. Puzzle solving enhances memory and processing speed.

Puzzle is one of the most popular category in competitive examinations. All the major Indian MBA entrance exams like CAT, MAT, XAT and SNAP have direct questions or questions based on similar logics in written test. Besides MBA exams, competitive exams like GRE, GMAT, Bank PO, SSC & other government exams include puzzle questions. Most of the companies while recruiting through campus includes Puzzles in the written tests or at interview stage. Hence those who are preparing for campus placement tests this section is a must.

Week of the Year 

Shona wants a new garden with 12 trees. She decides to plant 6 rows of 4 trees each with rows can have common trees. Furthermore, she wants a symmetric garden. How will his garden look like?
The garden of Gautam would look as follows:

What will come in place of "?"
The inner value is half of sum of squares of outer numbers.
 
i.e    62+22+42+22  = 60/2 = 30 , similarly  32+42+32+22  = 38/2 = 19
 
So answer is half of 50 = 25.

Roshni and Prakash and their two sons Sun and Ray have come to a river, and they find a boat. It can carry Sun and Ray or Roshni or Prakash at a time. Both sons are good in rowing, but how can the four reach the other side of the river?  & How Many times boat will move from one side to other .
The sons row across. One comes back. Roshni goes over, and one son comes back. Both sons row across again, and one comes back. Then Prakash rows across and the son comes back. Both sons row across again.
 
Total 9 times the movement of boat will occur

A farmer has three children and 44 gold coins. He decides to give coins to his three children in the following ratio: 1/3:1/6:1/9. How could his last will be followed?
The ratio 1/3:1/6:1/9 is equal to 6:3:2. ( By multiplying by the LCM of the numbers in the denominator i.e 3 6 9 = 18 ; Hence the ratio is 6:3:2 )
 
So by giving 1st child 24 coins, 2nd – 12 and 3rd – 8 the last will of the farmer can be followed.

On a train, S, R, and J are the fireman, brakeman, and the engineer, but may NOT be in order. Also aboard the train are three businessmen who have the same names: a Mr. S, a Mr. R, and a Mr. J. Using the clues below, can you determine the identity of the Engineer?
I. Mr. R lives in Dehradun.
II. The brakeman lives exactly halfway between Noida and Dehradun.
III. Mr. J earns exactly Rs. 4,00,000 per year.
IV. The brakeman's nearest neighbor, one of the passengers, earns exactly three times as much as the brakeman.
V. S beats the fireman in badminton.
VI. The passenger whose name is the same as the brakeman's lives in Noida.
a) Mr. R lives in Dehradun and the brakeman's nearest neighbor earns exactly 3 times as much as the brakeman.
Therefore, neither Mr. R nor Mr. J is the brakeman's nearest neighbor, so it must be Mr. S.
b) S beats the fireman at badminton and the passenger whose name is the same as the brakeman's lives in Noida. Mr. R lives in Dehradun and Mr. S lives between Noida and Dehradun. Therefore, it must be Mr. J who lives in Noida and J is the brakeman.
c) S is not the brakeman and he is not the fireman. He must be the engineer.
 
 Name City       Occupation  Earning
S Noida Engineer  
R Dehradun Fireman  
J B/w Noida & Dehradun Brakeman  
Mr. S B/w Noida & Dehradun    
Mr. J Noida   4,00,000
Mr. R Dehradun    

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