Mathematics · 2019
JEE Main · 12 January 2019, Shift 2 · Q61
Let Z be the set of integers. If A ={x ∈ Z: 2^(x+2)(x^2-5 x+6)=1} and B ={x ∈ Z:-3<2 x-1<9}, then the number of subsets of the set A × B, is:
Let $\displaystyle \mathbf{Z}$ be the set of integers. If $\displaystyle \mathrm{A}=\left\{x \in \mathrm{Z}: 2^{(x+2)\left(x^2-5 x+6\right)}=1\right\}$ and $\displaystyle \mathrm{B}=\{x \in \mathrm{Z}:-3<2 x-1<9\}$, then the number of subsets of the set $\displaystyle \mathrm{A} \times \mathrm{B}$, is :
Official answer
(3)
$\displaystyle 2^{15}$
More from Sets
- Let _i=1^50 X_i=_i=1^n Y_i=T, where each X_i contains 10 elements and each Y_i contains 5 elements. If each element of the set T is an element of…2020
- Let the set C={(x, y) ∣ x^2-2^y=2023, x, y ∈ N}. Then Σ_(x, y) ∈ C(x+y) is equal to ____.2024
- In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn…2021
- A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics and Chemistry. It was found that all students passed in…2024
- Out of all the patients in a hospital 89 % are found to be suffering from heart ailment and 98\% are suffering from lungs infection. If K\% of them…2021
- Consider the two sets: A={m ∈ R: both the roots of x^2-(m+1) x+m+4=0 are real\} and B=[-3,5). Which of the following is not true?2020
- Let A={(α, β) ∈ R × R:|α-1| ≤ 4 and |β-5| ≤ 6} and B={(α, β) ∈ R × R: 16(α-2)^2+9(β-6)^2 ≤ 144}. Then2025
- Let X={n ∈ N: 1 ≤ n ≤ 50}. If A={n ∈ X: n is a multiple of 2 } and B={n ∈ X: n is a multiple of 7 }, then the number of elements in the smallest…2020
JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.