About Bulls Eye
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 

Rishab asked his Grandfather how old he was. Rather than giving him a straight answer, he replied: "I have 6 children, and there are 4 years between each one and the next. I had my first child (your Uncle Ravi) when I was 29. Now the youngest one (your Auntie Ramita) is 29 herself. That's all I'm telling you!" How old is Rishabs grandfather?
Rishab's grand father  is 78 years old. Let's see why:
First child born: grand father  is 29
Second child born: grand father  is 33 (29 + 4)
Third child born: grand father  is 37 (33 + 4)
Fourth child born: grand father  is 41 (37 + 4)
Fifth child born: grand father  is 45 (41 + 4)
Sixth child born:grand father  is 49 (45 + 4)
When sixth child youngest one is 29: grand father  is 78 (49 + 29).

There is a magazine made up of 8 large sheets of paper folded in half. The magazine has 32 pages altogether. The second sheet contains pages 3, 4, 29 and 30. If I pick up a sheet containing page 19, what are the other pages that this sheet contains?
First of all, you had to work out that page 19 was on the back of page 20. Then you had to notice that the numbers were arranged in pairs, with the first and last number adding up to 33 and similarly the second and second last number again adding up to 33.
Then the other pages with 19 and 20 are:
33 -19 =14
33 - 20 = 13
So the four pages on this sheet are 13, 14, 19 and 20.

Mr. Sahil runs the Bulls Eye Bank.
You have to help him, though, because he has forgotten the combination number of the safe of the bank. Fortunately, he does remember some things about the number which may help you to help him.
• The number has four digits (eg.1234 or 9876).
• All the digits are different.
• It begins and ends with an odd number and has two even numbers in the middle.
• 19 and 519 divide it exactly.
What is the number which will open the safe?
The combination number of Mr. Sahil's bank safe is 9861.
A bit of a trick puzzle, really, because out of the four clues, the last one alone gives you the answer: Since 19 is not a factor of 519, therefore, the code for safe has to be a multiple of 19 as well as 519. Thus, just multiply 519 x 19 and you get 9861. The other clues are just for checking the answer.

At a farewell party, people were asked to guess how many marbles  there were in a box.
No one guessed correctly, but the nearest guesses were 171, 177, 186 and 190.
The correct number of marbles was one unit away from one of the closest guess, three units away from another, ten units away from the third and sixteen units away from the remaining closest guess. How many marbles were there in the box?
The jar contained 187 marbles. One way to do this is to draw a number line between 171 and 190 and test each number to see if it works. Otherwise take a few guesses until you get it!

Santa was copying down his Mathematics Homework the other day, but because he was in a hurry  he copied it down incorrectly. They had been learning about multiplication and had five of them to do at home.Santa, however, copied every number down backwards:
Instead of writing 14 x 82 Santa wrote 41 x 28
Instead of writing 13 x 62 Santa wrote 31 x 26
Fortunately for Santa all his answers were still correct!
What were the other three questions?
Instead of writing 14 x 82, boy wrote 41x 28.
Both give the answer 1148 because 1 x 8 is the same as 4 x 2.
Instead of writing 13 x 62, he wrote 31 x 26.
Both give the answer 806 because 1 x 6 is the same as 3 x 2.
We also know that:
1 x 4 is the same as 2 x 2,
1 x 8 is the same as 2 x 4,
and 1 x 6 is the same as 2 x 3.
So the other three questions were 12 x 42, 12 x 84 and 12 x 63.

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