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JEE Advance 2025 Paper 1

JEE Advance · 2025

94 questions · One at a time

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MCQ4 marks

Let N\mathbb{N}   be natural numbers and Z\mathbb{Z}   be integers. f(n)={(n+1)/2if n is odd(4−n)/2if n is evenf(n) = \begin{cases} (n+1)/2 & \text{if } n \text{ is odd} \\ (4-n)/2 & \text{if } n \text{ is even} \end{cases}   and g(n)={3+2nn≥0−2nn<0g(n) = \begin{cases} 3+2n & n \geq 0 \\ -2n & n < 0 \end{cases}  . Which statement(s) is (are) TRUE?

  • A.g∘f is NOT one-one and g∘f is NOT ontoCorrect
  • B.f∘g is NOT one-one but f∘g is onto
  • C.g is one-one and g is onto
  • D.f is NOT one-one but f is ontoCorrect
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