Question Details

In a specific numerical operation system, if 4#3=19 and 6#5=41, what will be the output of 8#7=?

Options

A

63

B

71

C

65

D

73

Show Answer

Correct Answer :

Option B

71

Solution :

The correct option is 71.

To find the output of the operation 8#7, let us first analyze the pattern used in the given examples.

Let the operation be defined as a#b.

First example: 4#3=19
Let us evaluate a2+b:
42+3=16+3=19

Second example: 6#5=41
Let us verify the pattern with a2+b:
62+5=36+5=41

The logic behind the operation system is to square the first number and add the second number to it, i.e., a#b=a2+b.

Now, applying the same pattern to calculate 8#7:
8#7=82+7
8#7=64+7=71

Therefore, the output of 8#7 is 71.

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