The number of subsets of {1, 2, 3, . . . , 9} containing at least one odd number is
324
396
496
512
If a set A has 5 elements, then the number of ways of selecting two subsets P and Q from A such that P and Q are mutually disjoint, is
64
128
243
729
Let N be the set of all natural numbers, Z be
the set of all integers and be defined by
is onto but not one-one
The set of all values of a such that both the points (1, 2) and (3, 4) lie on the same side of the line 3x - 5y + a = 0
Let S be the set of all for which the system of linear equations
2x – y + 2z = 2
x – 2y + z = – 4
x + y + z = 4
has no solution. Then, the set S
is a singleton
contains exactly two elements
contains more than two elements
is an empty set
The set of all real values of for which the quadratic equation (2 + 1) x2 – 4x + 2 = 0 always have exactly one root in the interval (0, 1) is :
( - 3, - 1)
(0, 2)
(1, 3)
(2, 4)
Let p, q, r be three statements such that the truth value of is F. Then the truth values of p, q, r are respectively :
T, T, F
T, T, T
T, F, T
F, T, F
Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m - n is _____