Question

If
3 - 2 = 4
4 - 3 = 18
5 - 4 = 96
then
6 - 5 =?

Answer 1

It is mathematical puzzle question of numbers and operations.

Now, 3 - 2 = 3 × 2 - 2 = 4

4 - 3 = 4 × 3 - 3 = 9 × 2 = 18

5 - 4 = 5 × 4 - 4 = 16 × 2 = 32 × 3 = 96

We see that:

1. The second number is subtracted from the product of the numbers.
2. The second number is subtracted from the product of the numbers. Then multiplied by 2.
3. The second number is subtracted from the product of the numbers. Then multiplied by 2 and again multiplied by 3.

It is clear that: The next answer will be found by subtracting the second number from the product of the numbers, followed by multiplication of 2, 3 and 4 respectively.

6 - 5

= 6 × 5 - 5 (second number is subtracted from the product of the numbers)

= 25 × 2 (multiplied by 2)

= 50 × 3 (multiplied by 3)

= 150 × 4 (multiplied by 4)

= 600

Answer: 6 - 5 = 600

Answer 2

Given :  3 - 2 = 4 , 4 - 3 = 18 , 5 - 4 = 96

To find : 6 - 5 =?

Solution:

3 - 2 = 4

(3 - 1) * 2  * (2 - 1)!

= (2) * 2  * 1!

= 2 * 2 * 1

= 4

4 - 3 = 18

(4 - 1) * (3) * (3 - 1)!

= 3 * 3 * 2!

= 9 * 2

= 18

5 - 4 = 96

(5 - 1) * (4) * ( 4 - 1)!

= 4 * 4 * 3!

= 16 * 6

= 96

6 - 5

(6 - 1) * 5 * (5 - 1)!

= 5 * 5 * 4!

= 25 * 24

= 600

Logic

a  - b  =  c

=> c  =   (a - 1) * b  * (b - 1) !

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