Recent questions tagged cmi2024-datascience-part-a

Consider the following positive integers:\[A=1234679580, B=1234789560\]Which of the following statements are true?Both $A$ and $B$ are divisible by $36$.Both $A$ and $B$ ...

Which of the following statements are true?Let $f(x)=x^{3}+x-1$ for $x \in \mathbb{R}$. Then the equation $f(x)=0$ has at least one root in $[-1,0)$.Let $f(x)=x^{3}+x-1$ ...

Suppose that $A$ is an $n \times n$ matrix with $n \geq 6$. For an $n \times 1$ vector $b$ consider the equations\[\begin{array}{l}A x=b, \text { for an } n \times 1 \tex...

Let $x$ be a variable that takes real values, and let $f(x), g(x), h(x)$ be three polynomials with real-valued coefficients. Further, let $f(x)$ be a polynomial of degree...

Let $f, g$ be two real valued functions defined on the set of real numbers. Which of the following statements are true?If $f(x)$ is continuous and $g(x)$ discontinuous th...