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UPSC CDS 1 2023 Math Paper

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Question : 16

Total: 100

Consider the following statements :
1. If n is a natural number, then the number ‌

n‌(n2‌+‌2)‌

is also a natural number.
2. If m is an odd integer, then the number ‌

m4‌+‌4\;m^{2}‌+‌11

is an integer.
Which of the statements given above is/are correct ?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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