JEE MAINS PRACTICE · Mathematics
Sets and Relations
143 practice questions for JEE Mains Practice — 72 easy · 67 medium · 4 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
If $A=\left\{(x, y): x^2+y^2=25\right\}$ and $B=\left\{(x, y): \quad x^2+9y^2=144\right\} ;$ then $A \cap B$ contains
MCQ
Let $A=\left\{(x, y): y=e^x, x \in R\right\}$ and $B=\left\{(x, y): y=e^{-x,} x \in R\right\}$. Then,
MCQ
If $a N=\{a n: n \in N\}$ and $b N \cap c N=d N$, where $a, b, c \in \mathbb{N}$ and $b, c$ are coprime, then
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
MCQ
Let $A=\{1,2,3,4,5,6,7\}$ and $B=\{3,6,7,9\}$. Then, the number of elements in the set $\left\{C \subseteq A_i C \cap B \neq \phi\right\}$ is
MCQ
In the group $\left[G=\{0,1,2,3,4\}, X_5\right]$ the inverse of $\left(2 \times 5^{-1}\right)$ is
MCQ
If $A=\{1,2\}, \quad B=\{1,2,3,4\}, \quad C=\{5,6\} \quad$ and $D=\{5,6,7,8\}$, then state which of the following is true?
MCQ
The shaded region in the given figure represents
MCQ
The set $\left(A\cup\,B\cup\,C\right)\cap\,\left(A\cap\,B^{'}\cap\,C^{'}\right)^{'}\cap\,C$ is equal to
MCQ
The set $\left(A\cup\,B\cup\,C\right)\cap\,\left(A\cap\,B^{'}\cap\,C^{'}\right)^{'}$ is equal to
Numerical
The number of elements in the set $\left{\left(a,b\right):a^{2}+b^{2}=50;a,b\in\,Z\right}$, where $Z$ is the set of all integers, is
Numerical
A survey shows that $69%$ students like mathematics, whereas $75%$ like chemistry. If $x%$ students like both the subjects, then the maximum value of $x$ is