HOW TO SOLVE HARD AND IMPOSSIBLE PUZZLES PART 3

Let us  discuss some of the puzzles,  which are viral in social media such as Face book  ,whats app and twitter etc. which are based on Mathematics directly or indirectly . You also have seen such types of problems mentioned  99.9%  Fail , Solve if you are genius like this...

TODAY'S  PUZZLE FOR YOU

I am fully hopeful that you can crack this puzzles , in case you are not able to crack/solve this , or want to confirm your answer you can click here .

Let us try to discuss and solve  some of the Puzzles given below  one by one.

PUZZLE #1 

Look at 1st Row, there is no direct connection between 9, S and 10. Also it seems no connection between 4, 5, M, 1, 3 in 2nd row ,Similarly 3, 1, 1,  L, 2 , ?, 1  have no direct connection between them.
But if we recall English Alphabet A,B,C,D,E,F,.. ..Y,Z and check that which letter is at 9th and 10th position, we shall find that this is not "S" .But let us check what is the position of Letter "S" in English alphabet. We find that it is in 19th position, as 9+10= 19 , It means that "S" is equal to 19.

So now check the position of letter "M" , which is 13th , and the  sum of all the digits in 2nd Row is 4+5+1+3 = 13, Similarly we can check that 1+2+4+5=12, 12th is the position of letter "L" and  3+2=5 ,5th is the position of letter E.

So by this trend we can add all the digits in 3rd row and put its total equal to 8, as position of the letter "I" is 9th in English Alphabet. The difference between the position of the letter "I"  and total  of all the digits in same time must be equal to each other.

Therefore 1(one) is the digit to be occupied by ? 

PUZZLE 2

In this Puzzle we have five circles in all ,and some of them are overlapping each others , Look at 1st line 15,12,24 ,It seems no relation between these numbers.But if we  add all the numbers lying in any circles , then from 1st circle of 1st line we shall have 15 + 10 = 25 and from 3rd circle of 1st line we shall have 24 + 1 = 25 .

Similarly from 2nd circle of 2nd line we shall have 4 + 1 + 20 = 25.

It means total of all the numbers lying in any circle must be 25 . So 

from 2nd circle of 1st line we shall have 12+? + 4= 25 implies that ? must be 9 and when we consider  1st circle of 2nd  line we shall have 10 + 6 + ? = 25 this also implies that  ?  must take the value 9.

So our  Answer will be 9

PUZZLE #  3

Look at 1st line if we subtract 1 from 1 ,we get 0 , we get our 1st line's answer . Same pattern should be followed in the next and remaining lines. But when we subtract  1 from 2 in 2nd line we get 1,which is not our answer. 

So let us try  new pattern right from the 1st line. If we square the 1st number and then subtract the 2nd  number from it, Let us check it from 1st line .
1²  - 1 = 1 ,      It is working for 1st line
2²  - 1 = 3,      It is working for 2nd line
3²  - 1 = 8,       It is working for 3rd line
4²  - 1 = 15,     It is working for 1st line
5²  - 1 = 24,  


So following the same pattern we can calculate answer

for the line containing 6 - 1 like this 6²  - 1 = 35

So our answer is  35.

The formula for this puzzle is x-1 = x²  - 1 ,
where x is the 1st number

Have you still not visited  HOW TO  SOLVE   HARD  AND IMPOSSIBLE   PUZZLES   PART 2

PUZZLE # 4

From the 1st line it can be seen that 21 × 2 = 42, But 39 × 3 ≠ 618 .

so if we multiply 1st digit of left side with 2 then we shall have 4,6,2 as our  digit/digits in left side of answers and when we multiply 2nd digit with 2 , we shall have 2,18,14 as right side of answer .

So we have to multiply with 2 on left side of our question to get left
digit and  multiply 5 with 2 to get 10 on right side of the answer.
Hence Our answer will for  45= (2×4)(2×5) = 810

The Formula for this Puzzle is  ab = (2a)(2b)

PUZZLE # 5

If we add all the digits , we can not get the answer .we have to try something new . But if we square the 1st number and add  both remaining numbers to it ,the we can get result of 1st line like this  2 + 3 + 4 = 2²  +3 + 4 = 11.   
Let us check the same pattern for 2nd line 3 + 4 + 5 = 3²  + 4 + 5 = 18, but 18 is not the answer . It means this will not work here.

Now we have to try one more formula for this puzzle .

If we multiply the 1st number with 2 and add both the

remaining  numbers to it.

Let us check all the line respectively.

1st  line  is    2×2 + 3 + 4   = 11, which 

is right answer.

2nd line  is    2×3 + 4 + 5  =  15, which 

is right answer.

3rd line   is    2×4 + 5 + 6   = 19, which 

is right answer.

So let us follow this pattern to find 

the answer of    the given puzzle as

follows

4th line  is   (2×7) + 8 + 9 = 31, which is

 right answer.

So formula we can use for this puzzle a+b+c   =   2a+b+c

PUZZLE # 6

To solve this puzzle , multiply 1st two digits with each other to get 1st two digits of the answer, After that multiply 1st and last digits to get 3rd and 4th digits of the answer, Now  add the numbers formed from 1st two steps and subtract 2nd number from it, we shall  have 5th and 6th digits of the answer.

1st line can be written as   (5×3)(5×2)(15+10-3) = 151222,

2nd line can be written as  (9×2)(9×4)(18+36-2) = 183652

3rd line can be written as  (8×6)(8×3)(48+24-6) = 482466

4th line can be written as  (5×4)(5×5)(20+25-4) = 202541

Similarly we can write last and final line 

Final line  can be written as  (7×2)(7×5)(14+35-2)=143547

Formula for this Puzzle is abc=(ab)(ac)(ab+ac-b)

Also read this

Solve-picture-problems-reasoning

PUZZLE 7

This problem is based on solution of linear equation of two variables. so it can be  solved as follows .

If we put A,B,C and D then 

we shall have following equations 

A + B = 8--------------------(1)

C - D  = 6--------------------(2)

A + C = 13-------------------(3)

B + D = 8--------------------(4)

Now we have to solve these equations for A,B,C and D.

From eq (1) we have A = 8 - B  ,put this value of A in (3),

we get   8 - B + C = 13, Rewrite it 

              B - C = -5 --------------------(5)

Now  adding (2)  and (5) ,we get

C - D +  B - C = 6 - 5

B - D =  1 ---------------------(6)

Adding (4) and (6),we get 2B = 9  ⇒ B =  9/2 = 4.5

Putting the value of B in Eq (1), we get 

4.5  +  A = 8 ⇒ A = 3.5 ,

Put  "A" in (3) ,we get C = 9.5

Put the value of  "B" in (4) 

4.5+ D = 8 ⇒ D = 3.5  So Final Answers  are 

A = 3.5,         B = 4.5,       C = 9.5,          D = 3.5

Conclusion

Thanks for devoting your valuable time for this post "How to solve various puzzles ,Quizzes , Brain Teasers and challenges " of my blog . If you liked this this blog/post, Do Follow me on my blog and share this post with your friends . We shall meet again in next post with solutions of most interesting and mind blowing puzzles ,till then Good Bye.

Let us learn Multiplication , division , Arithmatic and simplification short cut ,tips and  tricks after buying this Book of Magical Mathematics .

                                                                                 

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