| 2024-06-28 | Set \(A\) has \(m\) elements and Set \(B\) has \(n\) elements. If the total number of subsets of.... |
| 2024-06-28 | A survey shows that \(63 \%\) of the people in a city read newspaper \(A\) whereas \(76 \%\) rea.... |
| 2024-06-28 | Let \(\bigcup_{i=1}^{50} X_i=\bigcup_{i=1}^n Y_i=T\) where each \(X_i\) contains 10 elements and.... |
| 2024-06-28 | A survey shows that \(73 \%\) of the persons working in an office like coffee, whereas \(65 \%\).... |
| 2024-06-28 | The number of elements in the set \(\left\{n \in\{1,2,3, \ldots .100\} \mid(11)^n>(10)^n+(9)^.... |
| 2024-06-28 | Let \(A=\left\{n \in N n^2 \leq n+10,000\right\}, B=\{3 k+1 \mid k \in N\}\) and \(C=\{2 k \mid .... |
| 2024-06-28 | Let \(S=\{1,2,3,4,5,6,9\}\). Then the number of elements in the set \(T=\{A \subseteq S: A \neq .... |
| 2024-06-28 | Let \(S=\left\{x \in R: 5^x+\frac{125}{5^x}=30\right\}\). Then sum of all possible value of \(x\.... |
| 2024-06-28 | In a school, there are three types of games to be played. Some of the students play two types of.... |
| 2024-06-28 | Out of all the patients in a hospital \(89 \%\) are found to be suffering from heart ailment and.... |
| 2024-06-28 | The number of elements in the set \(\{x \in \mathrm{R}:(|x|-3)|x+4|\) \(=6\}\) is equal to[16 Ma.... |
| 2024-06-28 | Let \(S=\left\{(x, y) \in N \times N: 9(x-3)^2+16(y-4)^2 \leq 144\right\}\) and \(T=\left\{(x, y.... |
| 2024-06-28 | If \(A=\{x \in R ;|x-2|>1\}, \mathrm{B}=\left\{x \in R: \sqrt{x^2-3}>1\right\}\), \(C=\{x .... |
| 2024-06-28 | Let \(S=\left\{x \in[-6,3]-\{-2,2\}: \frac{|x+3|-1}{|x|-2} \geq 0\right\}\) and \(T=\left\{x \in.... |
| 2024-06-28 | The sum of all the elements of the set \(\{\alpha \in\{1,2, \ldots, 100\}\) :\(\operatorname{HCF.... |
| 2024-06-28 | Let \(S=\{4,6,9\}\) and \(T=\{9,10,11, \ldots, 1000\}\).If \(A=\left\{a_1+a_2+\ldots+a_k: k \in .... |
| 2024-06-28 | Let \(A=\{n \in N:\) H.C.F. \((n, 45)=1\}\) and Let \(B=\{2 k: k\) \(\in\{1,2, \ldots ., 100\}\}.... |
| 2024-06-28 | Let \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{3,6,7,9\}\). Then the number of elements in the set \(\{C .... |
| 2024-06-28 | The number of elements in the set \(\quad\{n \in \mathrm{N}: 10 \leq n \leq\) 100 and \(3^n-3\) .... |
| 2024-06-28 | The number of elements in the set \(\left\{n \in \mathbb{Z}:\left|n^2-10 n+19\right|<6\right\.... |
| 2024-06-28 | Let \(T=\left\{x \left\lvert\, \frac{x+5}{x-7}-5=\frac{4 x-40}{13-x}\right.\right\}\). Then numb.... |
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