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12th Standard Business Maths English Medium Free Online Test Creative 1 Mark Questions - Part Three

12th Standard EM

    Reg.No. :
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Business Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. If A is a singular matrix, then Adj A is.

    (a)

    non-singular

    (b)

    singular

    (c)

    symmetric

    (d)

    not defined

  2. \(\int { \frac { 2 }{ { \left( { e }^{ x }+{ e }^{ -x } \right) }^{ 2 } } } \) dx = ____________ +c 

    (a)

    \(\frac { { -e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } \)

    (b)

    \(-\frac { { -e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } \)

    (c)

    \(\frac { 1 }{ { \left( { e }^{ x }+1 \right) }^{ 2 } } \)

    (d)

    \(\frac { 1 }{ { e }^{ x }-{ e }^{ -x } } \)

  3. The area enclosed by the curve y = cos2x in [0,\(\pi\)] the lines x=0, x=\(\pi\) and the X-axis is ________sq.units.

    (a)

    2\(\pi\)

    (b)

    2\(\pi\)

    (c)

    \(\frac{2}{\pi}\)

    (d)

    \(\frac{\pi}{2}\)

  4. If y = k.eλx then its differential equation where k is arbitrary constant is

    (a)

    \(\frac { dy }{ dx } \)=λy

    (b)

    \(\frac { dy }{ dx } \)=ky

    (c)

    \(\frac { dy }{ dx } \)+ky=0

    (d)

    \(\frac { dy }{ dx } \)=eλx

  5. If c is a constant, then Δc =

    (a)

    c.∆

    (b)

    c.∇

    (c)

    0

    (d)

    1

  6. Given E(X+c)=8 and E(X-c)=12, then the value of c is 

    (a)

    -2

    (b)

    4

    (c)

    -4

    (d)

    2

  7. If Z is a standard normal variate, then p(0<Z<∞) is

    (a)

    0.5

    (b)

    1

    (c)

    0.25

    (d)

    0.75

  8. Which of the following statements is true?

    (a)

    point estimate gives a range of value

    (b)

    sampling is done only to estimate a statistic

    (c)

    sampling is done to estimate the population parameter

    (d)

    sampling is not possible for an infinite population

  9. The normal equations for estimating a and b so that the line y = ax + b may be the line of best fit are

    (a)

    aΣx2 + bΣx = Σxy, aΣx + nb = Σy

    (b)

    aΣx + bΣx2 = Σxy, aΣx2 + nb = Σy

    (c)

    aΣx + nb = Σxy, aΣx2 + bΣx = Σy

    (d)

    aΣx2 + nb = Σxy, aΣx + bΣx = Σy

  10. To assign different jobs to the different machines to minimize the overall cost is

    (a)

    transportation problem

    (b)

    assignment problem

    (c)

    minimax principle

    (d)

    maximin principle

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