In a class of 80 students numbered 1 to 80, all odd numbered students opt for cricket, students whose numbers are divisible by 5 opt for football and those whose numbers are divisible by 7 opt for hockey. The number of students who do not opt any of the three game is
13
24
28
52
A function f satisfies the relation f(n) = f(n2) + 6 for and f(2) = 8. Then, the value of f(256) is
24
26
22
28
If * is the operation defined by a b = ab for a, b N, then (2 * 3) * 2 is equal to
81
512
216
64
Let f(x) = x3 and g(x) = 3*. The values of A such that g[f (A)] = f[g(A)] are
0, 2
1, 3
0, 3
0,
If , then the value of f(2) is equal to
1
4
3
2
D.
2
For all rest numbers x and y, it is known as the real valued function f satisfies f(x) + f(y) = f(x + y). If f(1) = 7, then is equal to
7 x 51 x 102
6 x 50 x 102
7 x 50 x 102
7 x 50 x 101
Let S be the set of all real numbers. Then the relation R = {(a, b): 1 + ab > 0} on S is :
reflexive and symmetric but not transitive
reflexive and transitive but not symmetric
symmetric and transitive but not reflexive
reflexive, transitive and symmetric