JEE MAINS PRACTICE · Mathematics
Mathematical Induction
40 practice questions for JEE Mains Practice — 23 easy · 13 medium · 4 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
If $a * b$ denote the bigger among $a$ and $b$ and $a \cdot b=(a * b)+3$, then $4 \cdot 7$ is equal to
MCQ
The numbers $a_n^{\prime} s$ are defined by $a_0=1, a_{n+1}=3 n^2+n+a_n,(n \geq 0)$ Then, $a_n$ is equal to
MCQ
If $G$ is an abelian group then for all $a, b \in G$ $b^{-1} * a^{-1} * b * a$ is equal to
MCQ
For what values of $n$ is the graph $K_n$ Eulerian?
MCQ
The least positive integer $n$, for which $n! \lt \left(\frac{n+1}{2}\right)^n$ holds, is
MCQ
If $P(n)$ is a statement such that $P(3)$ is true. Assuming $P(k)$ is true $\Rightarrow P(k+1)$ is true for all $k \geq 3$, then $P(n)$ is true
MCQ
The product of ' $n$ ' positive numbers is unity. Then, their sum is
MCQ
If $(G, *)$ is a group such that $\left(a^* b\right)^2=(a * a)$ * $\left(b^* b\right)$ for all $a, b * G$, then $G$ is
MCQ
In the set $Q^{+}$of all positive rational numbers, the operation * is defined by the formula $a * b=\frac{a b}{6}$. Then, the inverse of 9 with respect to * is
MCQ
Every group of order 7 is
MCQ
Equation $x * a=b$ has ijn group $(G, \forall)$
MCQ
$2^{n}<n!$ is true for $\left{where\mathrm{}n\in\,N\right}$