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Mathematics Practice Test

Q.11 The geometric mean (GM) of 4 and 25 is

A. 2

B. 5

C. 10

D. 100

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$\fn_cm GM=\pm \sqrt{ab}=\pm \sqrt{100}=\pm 10$

As answer is in positive so GM=10

Q.11 Let Z be the center of group G of order 27. Then

A. G has a non-trivial centre

B. G={e}

C. O(Z) =3

D. O(Z) = 27

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If order of group is ~~$\fn_cm p^n$~~ then order of Z(G) is p. Here is $\fn_cm 3^3$ order of group. So order of centre is 3…

Q.12 The curve x⁴+y⁴-2x²-2y²+1=0 has singular points:
A. two
B. three
C. four
D. None of these

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Q.13 Integral of (1-sin2x)/cos2x is
A. log(sinx+cosx)+c
B. log(sinx-cosx)+c
C. log(cosx-sinx)+c
D. None of these

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