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Mathematics Tes...

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  • Question 1
    4 / -1

    \(\int \frac{1}{{x}}(\log {x}) {dx}\) is equal to:

  • Question 2
    4 / -1

    In linear programming, lack of points for a solution set is said to:

  • Question 3
    4 / -1

    The area of the region bounded by the curve y = x2 and the line y = 16

  • Question 4
    4 / -1

    Let \(g(x)=1+x-[x]\)
    \(f(x)=\left\{\begin{array}{l}-1, x<0 \\ 0, x=0 \\ 1, x>0\end{array}\right.\) then the value of \(\mathrm{f}(\mathrm{g}(\mathrm{x}))\) is:

  • Question 5
    4 / -1

    One kind of cake requires \(200 \mathrm{~g}\) of flour and \(25 \mathrm{~g}\) of fat, and another kind of cake requires \(100 \mathrm{~g}\) of flour and \(50 \mathrm{~g}\) of fat. Find the maximum number of cakes which can be made from \(5 \mathrm{~kg}\) of flour and \(1 \mathrm{~kg}\) of fat assuming that there is no shortage of the other ingredients used in making the cakes.

  • Question 6
    4 / -1

    Let \(f(x)=a x^{2}+b x+c\) where \(a, b, c\) are rational, and \(f: Z \rightarrow Z\) where \(Z\) is the set of integer. Then \(a+b\) is:

  • Question 7
    4 / -1

    What is the mean deviation from the mean of the numbers \(10,9,21,16,24 ?\)

  • Question 8
    4 / -1

    A box contains 2 blue caps, 4 red caps, 5 greens caps, and 1 yellow cap. If four caps are picked at random, the probability that none of them are green is:

  • Question 9
    4 / -1

    Find the cartesian equation of the line which passes through the point \((-1,2,1)\) and parallel to the line \(\frac{x-1}{2}=\frac{y-2}{4}=\frac{z-7}{3}\).

  • Question 10
    4 / -1

    Find \(\frac{d y}{d x}\) if \(y=e^{\cos x}\):

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