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Q15. Find number of bijection from N to N such that

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Q14. The group (Q, +) has no proper subgroup of finite index.

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Q11. Then the dimension of W over R is necessarily?

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How many elements of the group Z50 have order 10?

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Q5: When $\lim_{t \to \infty} I(p, t)$ is finite

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Q4: Let f : R → R be a continuous function such that for all x ∈ R

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The number of differentiable functions y : [0, 1] → [0, ∞), having continuous derivative on [0, 1] and satisfying

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Q2. Let P : R → R be a continuous function such that P(x) > 0 for all x ∈ R.

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Q3. Let f : R → R be a continuous function satisfying f(x) = f(x + 1) for all x ∈ R.

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Q4. Which one of the following subsets of $\mathbb{R}$ has a non-empty interior?

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