BRAIN EXERSISE

 Here i am posting some math based brain exercise, Just tease your brain....

(Answers are at the end..)

First question:

 2 CATS + 1 DOG = 10

2 CATS + 2 DUCKS + 1 DOG = 22

2 DUCKS + CAT = 15 

WHAT IS THE VALUE OF QUESTION MARK IF : 4 CATS + 1 DUCK + 2 DOGS = ?

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Second question:




Third question:



FORTH  QUESTION:



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ANSWERS :-


1.TAKE SECOND EQUATION :  2 CATS + 2 DUCKS + 1 DOG = 22

                      = [2 CATS + 1 DOG] + 2 DUCKS = 22 ; HERE WE CAN REPLACE '2 CATS + 1 DOG' WITH 10 AS GIVEN IN FIRST EQUATION.

                      =  10 +2 DUCKS = 22

                      =  2 DUCKS =  22-10 =12

                      =  1 DUCK  = 12\2=6

                      SO,1 DUCK= 6

NEXT IF WE MOVE TO THIRD EQUATION: 2 DUCKS + 1 CAT = 15 ; HERE WE CAN REPLACE '2 DUCKS' WITH 12[6 X 2] WHICH WE GOT FROM SECOND EQUATION.

                                  = 12 + 1 CAT= 15

                                  = 1 CAT = 15-12=3

                                  SO,1 CAT = 3 

NOW WE NEED THE VALUE OF DOG SO, TO GET THIS VALUE, WE WILL PLACE THE VALUE OF CAT IN FIRST EQUATION,SO WE CAN GET THE VALUE OF DOG

        2 CATS+ 1 DOG =10

        [2 X 3] + 1 DOG =10

           6 + 1 DOG  =10

        1 DOG = 10-6=4

        SO,1 DOG = 4


 NEXT WE WILL PLACE THE VALUE OF DOG,CAT AND DUCK IN THE QUESTION; 4CATS +1 DUCK +2 DOGS=[3 X 4]+6+[2 X 4]

      = 12+6+8

        = 26

                      SO 26 IS THE ANSWER.GOT IT?

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2.THE ANSWER IS 36 


SOLUTION IS:-

[WE SHOULD MULTIPLY THE NUMBERS IN THE DOWN SIDE] AND ADD TO [THE SUM OF THE SUM OF NUMBERS IN THE TOP]

-[THIS IS THE FORMULA USED TO FIND THE NUMBER IN THE SQUARE].


IF WE TAKE THE FIRST SQUARE:

[7 INTO 11] + [4 + 5]

= 77 + 9

= 86.

<SO WE CAN PROVE THAT THIS FORMULA WORKS{WE CAN FIND THE FORMULA BY CHECKING LIKE THIS,WE CAN FIND ANY MAGIC SQUARE LIKE THIS}.

   NOW, IF WE TAKE THE FORTH SQUARE FOR WHICH THE ANSWER IS ASKED WE SHALL FIND THE ANSWER :

  [3 INTO 1] + [ 15 + 18 ]

 = 3 + 33

 = 36

  


   < SO THE ANSWER IS 36.

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3.THE ANSWER IS 14

                                   --

FOR EASY EXPLANATION IF WE CONVERT THE PICTURES INTO WORDS IT WOULD BE EASY SO IF WE TAKE THE QUESTION IN WORDS IT WOULD BE LIKE THIS:

TIGER + CAT = CRAYONS + 1 --- (EQUATION 1)

FOX + TIGER + FOX = CAT --- (EQUATION 2)

0 = FOX X  CRAYONS --- (EQUATION 3)

CRAYONS - 3 = 2 --- (EQUATION 4)

THEN, WHAT IS TIGER X CAT X + CRAYONS = ?

           

SOLUTION:

FIRST,

IF WE TAKE FOURTH EQUATION,

CRAYONS - 3 = 2

= CRAYONS - 3 + 3 = 2 + 3

= CRAYONS + 0 = 2 + 3

= CRAYONS = 5

NOW IF WE TAKE THIRD  EQUATION,

THE VALUE OF EITHER FOX OR CRAYONS SHOULD BE 0 BECAUSE,AS THE ANSWER IS 0 FOR THIS EQUATION AND ANY MULTIPLICATION OF NUMBERS WITHOUT 0 IN ONE OF NUMBERS,THE ANSWER CANT BE 0.

AS, WE KNOW THE VALUE OF CRAYONS IS 5 FROM FORTH EQUATION, THE VALUE OF FOX SHOULD BE 0.

 NOW IF WE TAKE SECOND EQUATION,

FOX + TIGER + FOX = CAT 

= 0 + TIGER  + 0 = CAT

= TIGER  = CAT 

FROM THIS EQUATION WE CAN KNOW THAT TIGER = CAT 


NOW, IF WE TAKE  FIRST EQUATION,

TIGER + CAT = CRAYONS +  1

= TIGER + CAT = 5 + 1

= TIGER +CAT = 6

AS,TIGER = CAT; WE DISPLACE CAT WITH TIGER [IF WE WANT WE CAN DISPLACE TIGER WITH CAT ALSO,YOU WILL GE THE SAME ANSWER]

SO,NOW: TIGER + TIGER = 6

= 2[TIGER] = 6

= TIGER =6\2 = 3

= TIGER = 3

SO,CAT = CAT = TIGER = 3

NOW,WE WILL SOLE THE QUESTION GIVEN:

TIGER X CAT + CRAYONS = ?

= 3 X 3 + 5 = ?

= ? = 9 + 5

= ? = 14 


  < SO THE ANSWER IS 14. THIS IS A BIG SOLUTION! ISN'T IT?

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4.THE ANSWER IS 17.

                                   --


SOLUTION:

I AM TAKING SMILING FACE AS HAPPY AND SAD FACE AS SAD;

FIRST,IF WE TAKE FIRST EQUATION:

HAPPY + HAPPY = 32

= 2[HAPPY] = 32

= HAPPY = 32\2 = 16 

NOW IF WE PLACE THE VALUE OF HAPPY IN SECOND EQUATION:

SAD + HAPPY = 25 

= SAD + 16 = 25

= SAD = 25 - 16

=SAD = 9

NOW,WE WILL SOLVE THE VALUE OF QUESTION MARK;

? + SAD + HAPPY + SAD  = 51

= ? + 9 + 16 + 9 = 51

= ? + 34 = 51 

= ? = 51 - 34

= ? = 17


< SO THE ANSWER IS 17.

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