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Arrange numbers to get 15 in sum

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arrange these numbers to get 15 sum in all directions

arrange these numbers to get 15 sum in all directions

Arrange these numbers so that we get sum 15 by adding numbers from any direction(row, column, diagonal)
_2_|_6_|_4_
_1_|_5_|_7_
_3_|_8_|_9_

In Hindi
_2_|_6_|_4_
_1_|_5_|_7_
_3_|_8_|_9_
in number’s ko is tarha arrange karein ke jis taraf se bhi add karein ’15’ answer aaye.
Click here to See Solution
Let’s first get the sequences whose sum is 15
1 5 9
1 6 8
2 4 9
2 5 8
2 6 7
3 4 8
3 5 7
4 5 6

Now in order to make diagonal, rows and columns sum to 15, middle element should be present in atleast 4 sequences.
There is only one numbers which is present in four sequences i.e. 5, so 5 will be the middle element.

Now corner number can be the number which is present in atleast three sequences, numbers present atleast in 3 sequences are 2, 4, 6, 8.

Numbers which are present only in two sequences can not be in corners and middle of the matrix, such numbers are 1, 3, 7, 9.

By using above logic, we can create a matrix easily.
_8_|_3_|_4_
_1_|_5_|_9_
_6_|_7_|_2_

Obviously there will be multiple possible answers by rotating the matrix.

Big Boss Nomination Puzzle

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big boss nomination puzzle
In Big Boss, 7 people nominated 1 people each and in total 6 people were nominated.

One of the guy (Kushal) says, 1 guy was nominated twice, rest 5 were nominated once.

Do you think Kushal is right? if not what are the possibilities of nominations?


Click here to See Answer

Yes he is right, as there are total 7 nominations and 6 people were nominated in total so 1 people got nominated twice.

Vendor and coffee cups

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Number Puzzle #94
vendor and coffee cupsThere are 200 employees in a company. An external vendor is chosen to serve coffee twice a day. 100 coffee cups were offered by the company to the vendor but as an incentive to have the cups in tact, at the end of the day the company offered 30 paise for every cup remained safely and charged 90 paise for every broken cup. At the end of a day, the vendor received Rs. 6. How many cups did the vendor break?

Check your answer:-

Tried enough already?
Click here to See Answers
Lets say out of 100 cups x were broken
thus he will receive (100-x)*30 – 90x = 600
3000 -120x = 600
120x = 2400
x = 20

2 Dice and money game

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dice and money game

dice and money game

A casino wants to launch a new game, In the game a player is asked to roll two dices and he gets away with the money equal to the sum of the dices outcome.

Player needs to buy the chance every time he plays, What should the casino charge such that it makes profit in the long run or does not have to bear any loss ?

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