Math Test Preparation Problems on Sets Part 2

Test Preparation on Math Test Preparation Problems on Sets Part 2

1.

A survey showed that 63% of Americans like cheese whereas 76% like apples. If x% of Americans like both cheese and apples, then find the range of x?

1x=39
2x=63
339≤x≤63
4None of these

2.

If f(x) = Log [(1 + x)/(1-x), then f (2x )/(1 + x²) is equal to

1
(f(x))²
2
(f(x))³
3
2f(x)
4
3f(x)

3.

Let f(x)=x2+1/x2 and g(x)=x-1/x, x∈ R -{-1,0,1}. If h(x)=f(x)/g(x), then the local minimum value of h(x) is

13
2-3
3− 2√2
42√2

4.

If A = {1, 2, 5} and B = {3, 4, 5, 9}, then A ? B is equal to

1{1, 2, 5, 9}
2{1, 2, 3, 4, 9}
3{1, 2, 3, 4, 5, 9}
4none of these

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