Question

Reasoning mathematics

Answer 1

Required Solution:-

Answer:

• Option C i.e., 82 is the correct answer.

Explanation:

For First case,

Result = 31

Assume,

a = 5

b = 7

Now,

b⁴ × a²

= 7⁴ × 5²

= 60025

Now, add all the digits. We get,

= 6 + 2 + 5

= 13

Now, reverse the digits. We get,

= 31 (equal to the result)

For second case,

Result = 81

Assume,

a = 8

b = 3

Now,

b⁴ × a²

= 3⁴ × 8²

= 5184

Now, add all the digits. We get,

= 5 + 1 + 8 + 4

= 18

Now, reverse the digits. We get,

= 81 (equal to the result)

For third case,

Result = 72

Assume,

a = 8

b = 9

Now,

b⁴ × a²

= 9⁴ × 8²

= 419,904

Now, add all the digits. We get,

= 4 + 1 + 9 + 9 + 0 + 4

= 27

Now, reverse the digits. We get,

= 72 (equal to the result)

Hence, this is the logic for the question. Using this logic, we can solve this.

Now, check it for fourth case.

Result = ?

Here,

a = 7

b = 7

Now,

b⁴ × a²

= 7⁴ × 7²

= 117649

Now, add all the digits. We get,

= 1 + 1 + 7 + 6 + 4 + 9

= 28

Now, reverse the digits. We get,

= 82

➡ Hence, 82 is the required answer.