This is not for all the common people, but those who are having a special affinity towards puzzle solving. It’s for those who really love mathematics as their favorite pass time and make them engaged with the magic and mystery of this fun-filled subject.

If you are preparing hard for the competitive exams like IAS, WBCS, CAT, GMAT, SSC-CGL and others, you are the fittest candidate to read this article with time…

Below are solved puzzles with logic, which, i bet, will keep you engrossed with it:

**Mystery Unfurled 1:**

**Look at the equation below:**

6 + 9 = 81

5 + 8 = 57

4 + 7 = 37

We need to find out the logic behind the whole mathematical riddle. The logic is explained below:

**Solution:**

Let’s denote the three line of equation as (i), (ii) and (iii)…..

For equation (i),

6 + 9 = 81

Then, 62 + {(6-1)*9} = 36 + {5*9} = 36 + 45 = 81

For equation (ii),

5 + 8 = 57

Then, 52 + {(5-1)*8} = 25 + {4*8} = 25 + 32 = 57

Similarly For equation (iii),

4 + 7 = 37

the logic is just similar to the above:

Then, 42 + {(4-1)*7} = 16 + {3*7} = 16 + 21 = 37

**The whole logic is explained in the Video as below:**

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**Mystery Unfurled 2:**

Look at the below equation:

56 3 49 27 18

74 62 19 8 35

65 92 ? 34 81

You have to find the number that will replace the “?” mark above….

**Solution:**

Let’s denote the three line of equation as (i), (ii) and (iii)…..

For equation (i), 56 3 49 27 18

If we add all the digits of the 1st line of equation,

we get (5 + 6 + 3 + 4 + 9 + 2 + 7 + 1 + 8) = 45

For equation (ii), 74 62 19 8 35

adding all the digits,

we get (7 + 4 + 6 + 2 + 1 + 9 + 8 + 3 + 5) = 45

Similarly,

For equation (iii), we need to get the sum value equal to 45.

So the logic should be (6 + 5 + 9 + 2 + ? + 3 + 4 + 8 + 1 ) = 45

Then, 38 + ? = 45

So, ? = (45 – 38) = 7

So, ? = 7.

**The whole logic is explained in the Video as below:**

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**Mystery Unfurled 3:**

Look at the equation below:

4 + 7 + 2 = 281435

7 + 3 + 9 = 212781

6 + 2 + 7 = 121456

2 + 8 + 5 = 164036

8 + 4 + 6 = ??????

You have to find the number that will replace the “??????” mark above….

**Solution:**

Let’s denote the three line of equation as (i), (ii) and (iii), (iv) and (v)…..

The logic is discussed below for equation (i):

4 + 7 + 2 = 281435

(4 * 7) = 28 and (7 * 2) = 14. Now putting the values together it gives 2814

Now (4 – 1) = 3. If we put the digit together with 2814, we get 28143

Now (4 + 7 + 2) + 2 = 15 and now taking the last digit of the number ’15’ and keeping together with the number 28143, the final number ‘281435’ is ready.

The logic is discussed below for equation (ii):

7 + 3 + 9 = 212781

(7 * 3) = 21 and (3* 9) = 27. Now putting the values together it gives 2127

Now (7 + 1) = 8. If we put the digit together with 2127, we get 21278

Now (7 + 3 + 9) + 2 = 21 and now taking the last digit of the number ’21’ and keeping together with the number 28143, the final number ‘212781’ is ready.

The logic is discussed below for equation (iii):

6 + 2 + 7 = 121456

(6 * 2) = 12 and (2* 7) = 14. Now putting the values together it gives 1214

Now (6 – 1) = 5. If we put the digit together with 1214, we get 12145

Now (6 + 2 + 7) + 1 = 16 and now taking the last digit of the number ’16’ and keeping together with the number 12145, the final number ‘121456’ is ready.

The logic is discussed below for equation (iv):

2 + 8 + 5 = 164036

(2 * 8) = 16 and (8* 5) = 40. Now putting the values together it gives 1640

Now (2 + 1) = 3. If we put the digit together with 1640, it gives 16403

Now (2 + 8 + 5) + 1 = 16 and now taking the last digit of the number ’16’ and keeping together with the number 16403, the final number ‘164036’ is ready.

If we put the similar logic for equation (v), we get:

8 + 4 + 6 =>

(8 * 4) = 32 and (4* 6) = 24. Now putting the values together it gives 3224

Now (8 – 1) = 7. If we put the digit together with 3224, it gives 32247

Now (8 + 4 + 6) + 2 = 20 and now taking the last digit of the number ’20’ and keeping together with the number 32247, the final number ‘322470’ is ready.

**Alternatively, **

(8 + 4 + 6) + 1 = 19 and now taking the last digit of the number ’19’ and keeping together with the number 32247, the final number ‘322479’ is ready.