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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 wrong with this proof?
2 = 1?  ;
x = y
x2 = xy
x2 – y2 = xy – y2
(x + y) (x - y) = y (x - y)
x + y = y
2y = y
2 = 1
Since x = y, x - y = 0. So, for any equation in Mathematics division by zero is not allowed . hence the x-y cannot be cancelled out from both sides

The front wheel of a car has a circumference of 24 ft and that of the back wheel is 30 ft long. What is the distance traveled by the car, when the front wheel has done six more revolutions than the rear wheel?
The circumference of the front wheel is 24 ft and that of the rear wheel is 30 feet. Let the rear wheel make n revolutions. At this time, the front wheel should have made n+6 revolutions. As both the wheels would have covered the same distance, n*30 = (n+6)*24⇒ 30n = 24n + 144,
6n = 144 or n = 24. Distance covered = 24*30 = 720 ft.

There are 3 bag labeled as bag P, bag Q, and bag R. Only one bag has the gift you wanted, the other 2 are empty. Assume you pick the bag P, you will have one third (1/3) of chance to win the gift. If I open the bag Q and show you the bag Q is empty, do you want to exchange your bag P for bag R in order to get a better chance to win?
No, because originally the possibility to win by picking the bag r was one third (1/3). By knowing the fact the bag Q  is empty its chance of having gift is transferred to bag R, so the chance to win gets increased to (1/2).

I have a half-cup of tea and a half-cup of coffee. I take one teaspoon of tea and mix it with my coffee, then I take one teaspoon of this mixture and mix it with the tea. Which cup contains more of its original contents?
Each will have the same amount of its original content. How much liquid is being moved does not matter (whether it is a teaspoon, half a cup, or, in extreme case the full cup does not make any difference).

When the number 153,810 is divided by n, for which n is the remainder largest ?
(A) 2
(B) 5
(C) 6
(D) 8
(E) 9
The correct answer is (D). 153, 810 is divisible by all the numbers in the list except 8. Hence, 8 must give the largest remainder.

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