The question is about Divisibility of higher powers of a number. A term is divisible by x and we need to find out another term which is also divisible by x . Dealing with digits and base system of a number is a vital component in CAT Number Systems. A range of CAT questions can be asked based on this simple concept in the CAT Exam.
Question 9: A number 416 + 1 is divisible by x. Which among the following is also divisible by x?
We know a3 + b3 = (a + b)3 – 3ab(a + b)
If (a + b) is divisible by x, then a3 + b3 is also divisible by x.
If 416 + 1 is divisible by x, then (416)3 + 13 is also divisible by x
Or 448 + 1 is divisible by x
The question is "Which among the following is also divisible by x?"
Choice D is the correct answer.
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