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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 

Three drinks- Coke, Limca or Either (Either Coke or Limca) are offered by a machine at the bus stop. But the machine has been wired up wrongly by the staff at the bus stand so that each button does not give what it claims. If each drink costs Rs 10, how much minimum money do you have to put into the machine to work out which button gives which selection?
Put Rs 10 and push the button for Either. There are only 2 possibilities. It will give either Coke or Limca. If it gives Coke, then the button named Either is for Coke. The button named Limca is for Either selection. And the button named Coke is for Limca. If it gives Limca, then the button named Either is for Limca. The button named Coke is for Either selection. And the button named Limca is for Coke. Thus, you can make out which button is for what by putting just Rs 10 and pressing Either selection first.

Which of the following set would contain the most 4's that when added together will sum the most ?
999 - 778, 777 - 556 or  555 - 333?
As the numbers 400 401 402 ......499 .. will contain 100 4's more than other set .

The ratio of employees to managers is 7: 3. 70% of the employees and 30% of the managers take lunch in the canteen. What % of total workforce takes lunch in canteen?
Assume there are 7X employees and 3X managers
Total workforce taking lunch in canteen
= (7X) (70/100) + (3X) (30/100)
= 49(X/10) + 9(X/10)
= 58(X/10)
Total workforce are = 7X + 3X = 10X
% of workforce taking lunch in canteen
= ((58X/10) * 100) / 10X
= 58 %

A RAW agent code named Chandrakanta emailed a code word to his head office. They are "AIS EUC RAO REI COS". But four of these five words are fake and only one contains the information.
He also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word. Can you tell what the code word is?
The code word is RIE.
If you were told any one character of COS, then you would not be able to determine whether the number of vowels is one or two. e.g. if you were told S, there are two words with S – AIS with 2 vowels and COS with 1 vowel. So you would not be able to say the number of vowels.
Same arguments can be given for characters O and C.
Hence, the word with any one of M, O or C is not a code word i.e. AIS, EUC, RAO and COS are not the code word. Thus, REI is the code word.
R : two words - REI and RAO, both with 2 vowels
E : two words - REI and EUC, both with 2 vowels.
I : two words - REI and AIS, both with 2 vowels

Shantanu had three sons, to whom he wants to divide his 19 camels, in the following way: The oldest son was to receive one half the property, the next a quarter, the third one fifth. The three brothers were at a loss as how to divide the inheritance among them-selves without cutting up a camel, until a stranger appeared upon the scene.
Dismounting from his camel, he asked if he might help, for he knew just what to do. The brothers gratefully accepted his offer. Adding his own camel to Shantnu's 19, he divided the 20 as per the will. The oldest son received 10, the next 5, the third 4 . One camel remained: this was his, which he mounted and rode away.
Scratching their heads in amazement, they started calculating. The oldest thought: Are not 10 greater than the half of 19? Someone must have received less than his proper share! But each brother discovered that he had received more than his due. How is it possible?
They took their percentages from 20 and not from 19, so they got more than their share.
The oldest son got 1/2 of 20 = 10 which is 0.5 more
The second son got 1/4 of 20 = 5 which is 0.25 more
The third son got 1/5 of 20 = 4 which is 0.2 more
And the stranger got 1/20 of 20 = 1 which is 0.05 more (As he is not supposed to get anything)
All these fractions add to = 0.5 + 0.25 + 0.2 + 0.05 = 1 which stranger took away.

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