MBA Exam Numerical Ability Number System

A set S is formed by including some of the first 1000 natural numbers.S contains the maximum number of numbers such that they satisfy the following conditions:1. No number of the set is prime.2. When the number of the set S are selcted two at a time, we always see co prime numbers.What is the number of elements in the set S?

1) 11
2) 12
3) 13
4) 7

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MBA Other Question
how many four digit positive integers that are divisible by 3 can be formed using digit 0 to 6, without any of the digit getting repeating..?

a, b, c, d are non-zero reals and f(x) = (ax + b)/(cx + d). If f(-1) = 0, f(1) = 1 and f(f(x)) = x for all x (except -d/c). The unique value which is not in the range of f(x) is

1) 1/3
2) 2
3) 0
4) -1/2