Question # 1

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

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3

6

0

None of these

If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

None of these

Find the geometric mean between 4 and 16

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The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

The number of terms in the expansion of (a + b)⁹is

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10

11

9

12

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

The symbol of irrational is

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W

N

Q

Q'

Sum of n terms of a geometric series if | r | < 1 is

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8

1/56

56

None of these

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Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

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x²+ 2x + c

(x²+ 2x -1)⁴+ c

∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

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1

3

2-i

-1

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Rational fraction

Proper fraction

Improper rational fraction

None of these

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A prime number

An integer

A whole number

An irrational number

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Conclusion

Implication

Antecedent

Hypothesis

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