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GO Classes CS/DA 2025 | Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 10
Which of the following is(are) sufficient argument(s) to show that the vectors of set $\text{S}$ ...
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GO Classes CS/DA 2025 | Weekly Quiz 2 | Fundamental Course | Question: 8
Let $n$ be a positive integer.Which of the following statements is/are true?If $m, a$ are positive integers and $m \mid a^ n$, then $m^ n \mid a^ n$.If $p$ is a prime ... , for all $n$.If $t$ is even, then $t^ n$ is also even, for all $n$.
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GO Classes CS/DA 2025 | Weekly Quiz 2 | Fundamental Course | Question: 6
Which of the following statements is/are True?If $x$ and $y$ are two integers whose product is odd, then both must be odd.If $a$ and $b$ are real ... then $m$ is even.The sum of a rational number and an irrational number is irrational.
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GO Classes CS/DA 2025 | Weekly Quiz 2 | Fundamental Course | Question: 3
Consider the following statements:$\text{S1}:$ Suppose $a, b \in \mathbb{Z}$. If $\left(a^ 2\right)\left(b^ 2-2 b\right)$ is odd, then both $a$ and $b$ are odd. ... true?Only $\text{S1}$Only $\text{S2}$Both $\text{S1}\; \&\; \text{S2}$None
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GO Classes CS/DA 2025 | Weekly Quiz 2 | Fundamental Course | Question: 2
Consider the following statements:$\text{S1}:$ If $a, b \in Z$ and $a+b$ is even, then $a^ 2+b^ 2$ is even.$\text{S2}:$ If $a, b \in Z$ and $a+b$ ... statements is true?Only $\text{S1}$Only $\text{S2}$Both $\text{S1}\; \&\; \text{S2}$None