Question

5 - 4 = 23.8 - 1 = 63.6 -16 = 329 - 9 = 783 - 9 = 63 - 81 = ?Explain the logic. Challenge for all masterminds!!

Answer 1

ANSWER:

Given:

• 5 - 4 = 23
• 8 - 1 = 63
• 6 - 16 = 32
• 9 - 9 = 78
• 3 - 9 = 6

To Find:

• 3 - 81 = ?

Solution:

We are given that,

⟹ 5 - 4 = 23

⟹ 8 - 1 = 63

⟹ 6 - 16 = 32

⟹ 9 - 9 = 78

⟹ 3 - 9 = 6

We need to find a pattern which satisfies all the conditions given.

Taking 1st condition,

⟹ 5 - 4 = 23

We can see that, 23 is close to 25, which is the square of 5.

Moreover, 23 differ from 25, by 2 which is the square root of 4.

That is,

⟹ 25 - 2 = 23

⟹ 5² - √4 = 23

We can understand now, that we can satisfy the equations, by subtracting square root of the 2nd number from square of 1st number in LHS abd obtain RHS.

Using this pattern to verify the other conditions given,

⟹ 8 - 1 = 63

⟹ 8² - √1 = 64 - 1 = 63

Hence verified.

⟹ 6 - 16 = 32

⟹ 6² - √16 = 36 - 4 = 32

Hence verified.

⟹ 9 - 9 = 78

⟹ 9² - √9 = 81 - 3 = 78

Hence verified.

⟹ 3 - 9 = 6

⟹ 3² - √9 = 9 - 3 = 6

Hence verified.

As this pattern satisfies all the conditions, this is the correct pattern.

Now, we had to find the value of the given expression using the above pattern.

⟹ 3 - 81 = ?

So,

⟹ 3² - √81 = 9 - 9 = 0

⟹ 3 - 81 = 0

Hence, the value of 3 - 81 = 0, according to the pattern.

Answer 2

ANSWER:

Given:

5 - 4 = 23

8 - 1 = 63

6 - 16 = 32

9 - 9 = 78

3 - 9 = 6

To Find:

3 - 81 = ?

Solution:

We are given that,

⟹ 5 - 4 = 23

⟹ 8 - 1 = 63

⟹ 6 - 16 = 32

⟹ 9 - 9 = 78

⟹ 3 - 9 = 6

We need to find a pattern which satisfies all the conditions given.

Taking 1st condition,

⟹ 5 - 4 = 23

We can see that, 23 is close to 25, which is the square of 5.

Moreover, 23 differ from 25, by 2 which is the square root of 4.

That is,

⟹ 25 - 2 = 23

⟹ 5² - √4 = 23

We can understand now, that we can satisfy the equations, by subtracting square root of the 2nd number from square of 1st number in LHS abd obtain RHS.

Using this pattern to verify the other conditions given,

⟹ 8 - 1 = 63

⟹ 8² - √1 = 64 - 1 = 63

Hence verified.

⟹ 6 - 16 = 32

⟹ 6² - √16 = 36 - 4 = 32

Hence verified.

⟹ 9 - 9 = 78

⟹ 9² - √9 = 81 - 3 = 78

Hence verified.

⟹ 3 - 9 = 6

⟹ 3² - √9 = 9 - 3 = 6

Hence verified.

As this pattern satisfies all the conditions, this is the correct pattern.

Now, we had to find the value of the given expression using the above pattern.

⟹ 3 - 81 = ?

So,

⟹ 3² - √81 = 9 - 9 = 0

⟹ 3 - 81 = 0

Hence, the value of 3 - 81 = 0, according to the pattern.