If 7*24 = 25 and 12*16 = 20 , then what is 16*63 equal to?
- A70
- B66
- C65Correct
- D64
Explanation
The logic behind the pattern is based on the Pythagorean theorem, where the result is the square root of the sum of the squares of the two numbers. This is often represented as the hypotenuse of a right-angled triangle.
For the first example: 7 squared is 49 and 24 squared is 576. Adding 49 and 576 gives 625. The square root of 625 is 25.
For the second example: 12 squared is 144 and 16 squared is 256. Adding 144 and 256 gives 400. The square root of 400 is 20.
Applying this to the question: 16 squared is 256 and 63 squared is 3969. Adding 256 and 3969 gives 4225. The square root of 4225 is 65.
Therefore, 16 star 63 equals 65. The correct option is C.
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