2022-12-01 | Let \( R \) be a relation in \( N \) defined by \( R=\{(x, y): x+2 y=8\} \). The range of \( R \... |
2022-12-01 | If \( A \) and \( B \) are two sets, then \( A \cap(A \cup B) \) equals
(A) \( \quad \mathrm{A} ... |
2022-12-01 | If \( R=\{(\boldsymbol{x}, \boldsymbol{y}): \boldsymbol{x}, \boldsymbol{y} \mathrm{I} Z, \boldsy... |
2022-12-01 | Which of the following does not have a proper subset?
(A) \( \{\mathrm{x}: \mathrm{x} \in \mathr... |
2022-12-01 | Let \( A=\{p, q, r, s\} \) and \( B=\{1,2,3\} \). Which of the following relations from \( A \) ... |
2022-12-01 | If \( A=\{1,2,3\} \) and \( B=\{3,8\} \), then \( (A \cup B) \times(A \cap B) \) is
(A) \( \{(3,... |
2022-12-01 | If universal set is the set of real numbers \( R \) and \( A=\{x \mid-5x \leq 2, x \in Z\}, B=\{... |
2022-12-01 | A set contains \( \mathrm{n} \) elements. The power set contains
(A) \( n \) elements
(B) \( 2^{... |
2022-12-01 | If \( A=\{\phi,\{\phi\}\} \), then the power set of \( A \) is
(A) \( \mathrm{A} \)
(B) \( \{\ph... |
2022-12-01 | Let \( R \) be a relation in \( N \) defined by \( R=\left\{\left(1+x, 1+x^{2}\right): x \leq 5,... |
2022-12-01 | If \( X=\left\{8^{n}-7 n-1 / n \in N\right\} \) and \( Y=\{49(n-1) / n \in N\} \), then
(A) \( x... |
2022-12-01 | The relation \( R \) defined on the set \( A=\{1,2,3,4,5\} \) by \( R=\{(x, y) \) : \( \left|\ma... |
2022-12-01 | If \( A=\left\{x: \cos x-\frac{1}{2}\right. \) and \( \left.O \leq x \leq \pi\right\}, B=\left\{... |
2022-12-01 | Compounds having same molecular formula but different connectivity of atoms or groups are called... |
2022-12-01 | If \( A=\{a, b, d, e, l\}, B=\{c, d, f, m\} \quad \) and \( C=\{a, I, m, o) \), then \( C \cap(A... |
2022-12-01 | Let \( \rho \) be the relation on the set \( R \) of all real numbers defined by setting a \( \r... |
2022-12-01 | The relation \( R \) defined in \( A=\{1,2,3\} \) by \( a R b \) if \( \left|a^{2}-b^{2}\right| ... |
2022-12-01 | India today conducted a survey if people taking tea/ coffee. Out of 9000 people, 5550 people tak... |
2022-12-01 | If \( R \) and \( R^{\prime} \) are symmetric relations (not disjoint) on a set \( A \), then th... |
2022-12-01 | Assume \( R \) and \( S \) are (non empty) relations in a set \( A \). which of the relations gi... |
2022-12-01 | The Sols of \( 8 x=6(\bmod 14) \) are
(A) [8], [6]
(B) [8], [4]
(C) [6], [13]
(D) [8], [4], [16]... |