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Recent questions tagged algebra

14 14 votes
4 4 answers
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GATE ECE 2024 | GA | Question: 5
The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is$13$$17$$3$$11$
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2 2 votes
1 1 answer
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GATE ECE 2024 | Question: 19
In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.
13 13 votes
4 answers 4 answers
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GATE ECE 2021 | GA | Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$$3$$7$$9$$11$
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13 13 votes
4 answers 4 answers
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GATE ECE 2016 Set 1 | GA | Question: 9
If $q^{-a} = \frac{1}{r}$ and $r^{-b}=\frac{1}{s}$ and $s^{-c} = \frac{1}{q}$ ,the value of $abc$ is______.$(rqs)^{-1}$$0$$1$$r+q+s$
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