Puzzle Duniya brings interactive solving session for all the math lovers. This set of riddles show you how to solve or simplify a typical math equation in quick time.

Just read the article carefully and learn the tricks. Also watch every video for more audio-visual help.

**Problem – 1:**

Below an equation has been written:

2 + 7 = 63

3 + 2 = 10

4 + 8 = 96

5 + 6 = 66

9 + 5 = ??

Following the above patter, you need to find the number to replace the question mark and complete the series.

**Solution:**

Let’s denote each row of equation as below:

2 + 7 = 63 ——————— (I)

3 + 2 = 10 ——————— (II)

4 + 8 = 96 ——————— (III)

5 + 6 = 66 ——————— (IV)

9 + 5 = ?? ——————— (V)

From row (I),

2 + 7 = 63 is possible by the following way:

2 + 7 = 9, and 9* 7 = 63 (L.H.S = R.H.S)

From row (II),

3 + 2 = 10 is possible by the following way:

3 + 2 = 5, and 5* 2 = 10 (L.H.S = R.H.S)

From row (III),

4 + 8 = 96 is possible by the following way:

4 + 8 = 12, and 12* 8 = 96 (L.H.S = R.H.S)

From row (IV),

5 + 6 = 66 is possible by the following way:

5 + 6 = 11, and 11* 6 = 66 (L.H.S = R.H.S)

Similarly,

From row (V),

9 + 5 = ?? and according the same logic, we get

9 + 5 = 14, and 14 * 5 = 70

So, the question mark will be replaced by the number 70

**Watch the Video Demonstration below:**

———————————————————————————————

**Problem – 2:**

Below an equation has been written:

11 x 11 = 4

30 x 20 = 5

13 x 11 = 6

15 x 10 = 7

24 x 13 = ??

Following the above patter, you need to find the number to replace the question mark and complete the series.

**Solution:**

Let’s denote each row of equation as below:

11 x 11 = 4 ——————— (I)

30 x 20 = 5 ——————— (II)

13 x 11 = 6 ——————— (III)

15 x 10 = 7 ——————— (IV)

24 x 13 = ?? ——————— (V)

From row (I),

11 x 11 = 4 is possible by the following way:

(1 + 1) = 2, and again (1 + 1) = 2

Now adding 2 with 2, we get (2 + 2) = 4 (L.H.S = R.H.S)

From row (II),

30 x 20 = 5 is possible by the following way:

(3 + 0) = 3, and again (2 + 0) = 2

Now adding 3 with 2, we get (3 + 2) = 5 (L.H.S = R.H.S)

From row (III),

13 x 11 = 6 is possible by the following way:

(1 + 3) = 4, and again (1 + 1) = 2

Now adding 4 with 2, we get (4 + 2) = 6 (L.H.S = R.H.S)

From row (IV),

15 x 10 = 7 is possible by the following way:

(1 + 5) = 6, and again (1 + 0) = 1

Now adding 6 with 1, we get (6 + 1) = 7 (L.H.S = R.H.S)

Similarly,

From row (V),

24 x 13 = ?? and according the same logic, we get

(2 + 4) = 6, and again (1 + 3) = 4

Now adding 6 with 4, we get (6 + 4) = 10

So, the question mark will be replaced by the number 10

**Watch the Video Demonstration below:**

———————————————————————————————

**Problem – 3:**

Below an equation has been written:

1111 = R

2222 = T

3333 = E

4444 = N

5555 = ??

Following the above patter, you need to find the number to replace the question mark and complete the series.

**Solution:**

Let’s denote each row of equation as below:

1111 = R ——————— (I)

2222 = T ——————— (II)

3333 = E ——————— (III)

4444 = N ——————— (IV)

5555 = ?? ——————— (V)

From row (I),

1111 = R is possible by the following way:

(1 + 1 + 1 +1) = FOUR, and taking the last letter of the word ‘FOUR’, we get the ultimate letter ‘R’ (L.H.S = R.H.S)

From row (II),

2222 = T is possible by the following way:

(2 + 2 + 2 +2) = EIGHT, and taking the last letter of the word ‘EIGHT’, we get the ultimate letter ‘T’ (L.H.S = R.H.S)

From row (III),

3333 = E is possible by the following way:

(3 + 3 + 3 +3) = TWELVE, and taking the last letter of the word ‘TWELVE’, we get the ultimate letter ‘E’ (L.H.S = R.H.S)

From row (IV),

4444 = N is possible by the following way:

(4 + 4 + 4 +4) = SIXTEEN, and taking the last letter of the word ‘SIXTEEN’, we get the ultimate letter ‘N’ (L.H.S = R.H.S)

Similarly,

From row (V),

5555 = ?? and according the same logic, we get

(5 + 5 + 5 + 5) = TWENTY, and taking the last letter of the word ‘TWENTY’, we get the ultimate letter ‘Y’ (L.H.S = R.H.S)

**Watch the Video Demonstration below:**

Now study the above article and make yourself prepare hard for your upcoming competitive exams.