List of top Mathematics Questions on Algebra asked in MET

In the group $G = \{0,1,2,3,4\}$ under $\times_5$, the inverse of $(2 \times_5 2^{-1})$ is}

Every group of order 7 is

If every element of a group G is its own inverse, then G is

In the set $Q^+$ of all positive rational numbers, the operation $*$ is defined by the formula $a * b = \frac{ab}{6}$. Then, the inverse of $9$ with respect to $*$ is

If $a * b$ denote the bigger among a and b and $a \cdot b = a + b + 3(a*b)$, then $4 \cdot 7$ is equal to

Total number of polynomials of the form \(x^3 + ax^2 + bx + c\) that are divisible by \(x^2 + 1\), where \(a,b,c \in \{1, 2, 3, \dots, 10\}\) is equal to

If \(x - 2y = 4\), then the minimum value of \(xy\) is

Let a, b, c be real numbers with $a ≠ 0$ and let $α, β$ be the roots of the equation $ax²+bx+c=0$, then $a³x²+abcx+c³=0$ has roots

If $α, β, γ$ are such that $α+β+γ=2$, $α²+β²+γ²=6$, $α³+β³+γ³=8$, then $α⁴+β⁴+γ⁴$ is