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Bulls Eye started in 1996 in Pune by a group of IIM and XLRI alumni and professionals with top-notch industry experience. Bulls Eye started in 1996 in Pune by a group of IIM and XLRI alumni...more »

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 

What is the minimum number of weighing operations required to measure 31 kg of wheat if only one weight of 1 kg is available?

When 1 weight of 1 kg is there with that we can weigh 1 kg. Next time we can weigh 2 kg(weight+1 kg wheat). Next time we can weight 4 kg. Next time 8 kg. can be weighed. After that we can weight 16 kg ..So after 5 weighing operations the whole wheat would be weighed.



Mr. Ravinder Gulati has 3 timepieces in his house - a wall clock, an alarm clock and a wristwatch. The wrist watch is always accurate, whereas the wall clock gains 2 minutes every day and the alarm clock loses 2 minutes every day. At exactly midnight last night, all three watches were showing the same time. If today is 23 July 2007, then on which date all three clocks will show the same time again?
A clock finishes one round in 12x60 i.e. 720 minutes.
If a clock gains 2 minutes everyday, then it would be 720 minutes ahead after 360 days. Thus, after 360 days, it will show the same time again. Similarly, if a clock loses 2 minutes everyday, then it would be 720 minutes behind after 360 days. Thus, after 360 days, it will show the same time again. Thus, after 360 days all three clocks will show the same time again i.e. midnight between 17 July 2008 and 23 July 2008.

A lady and a gentleman are wife and husband. We do not know who is older.
Someone asked them: Who is older?
The wife said: I am older.
The husband  said: I am younger.
At least one of them was lying. Who is older?
Since there is no conflict between what they said, it meant that either they both told a lie or both told the truth. In this case they both told a lie. The answer is the husband is older.

Before the days of motor cars, a man rode into town on his horse. He arrived on Sunday, spent three days in town and left on Sunday. How is that possible?
The name of the horse was Sunday.

There are 3 persons- A, B and C. On some day, A lent tractors to B and C as many as they had. After a month B gave as many tractors to A and C as many as they have. After a month C did the same thing. At the end of this transaction each one of them had 16. Find the tractors each originally had?
One way to solve it is by making 3 equations and solve them simultaneously. But there is rather easier way to solve it using back tracking.
It's given that at the end, each had 16 tractors (16, 16, 16) i.e. after C gave tractors to A & B as many as they had. It means that after getting tractors from C their tractors got doubled. So before C gave them tractors, they had 8 tractors each and C had 32 tractors i.e. (8, 8, 32).
Similarly, before B gave tractors to A & C, they had 4& 16 tractors respectively and B had 42 tractors i.e. (4, 28, 16)
Again, before A gave tractors to B & C, they had 14& 8tractors respectively and A had 39 tractors i.e. (26,14, 8)
Hence, initially A had 26 tractors, B had 14 tractors and C had 8 tractors.

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