If I = a2 + b2 + c2, where a and b are consecutive integers and c = ab, then I is:a)an even number and it is not a square of an integerb)an odd number and it is not a square of an integerc)square of an even integerd)square of an odd integerCorrect answer is option 'D'. Can you explain this answer?

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If I = a² + b2 + c2, where a and b are consecutive integers and c = ab, then I is:

a)
an even number and it is not a square of an integer
b)
an odd number and it is not a square of an integer
c)
square of an even integer
d)
square of an odd integer

Correct answer is option 'D'. Can you explain this answer?

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If I = a2 + b2 + c2, where a and b are consecutive integers and c =...

Given

I = a² + b² + c², where a and b are consecutive integers and c = ab

Let a and b be 1 and 2 respectively (a and b are consecutive numbers)

So, c = 1 × 2=2

Now

⇒ I = 1² + 2² + 2²

⇒ I = 9

Now let the values of a and b be 2 and 3 respectively

So, c = 2 × 3 = 6

Now,

⇒ I = 2²+ 3² + 6²

⇒ I = 49

In both cases, it is coming out to be the square of an odd integer.

Hence, the correct option is (D).

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If I = a2 + b2 + c2, where a and b are consecutive integers and c = ab, then I is:a)an even number and it is not a square of an integerb)an odd number and it is not a square of an integerc)square of an even integerd)square of an odd integerCorrect answer is option 'D'. Can you explain this answer?

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If I = a2 + b2 + c2, where a and b are consecutive integers and c = ab, then I is:a)an even number and it is not a square of an integerb)an odd number and it is not a square of an integerc)square of an even integerd)square of an odd integerCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If I = a2 + b2 + c2, where a and b are consecutive integers and c = ab, then I is:a)an even number and it is not a square of an integerb)an odd number and it is not a square of an integerc)square of an even integerd)square of an odd integerCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If I = a2 + b2 + c2, where a and b are consecutive integers and c = ab, then I is:a)an even number and it is not a square of an integerb)an odd number and it is not a square of an integerc)square of an even integerd)square of an odd integerCorrect answer is option 'D'. Can you explain this answer?.

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