Question # 1

Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

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2

-1

8

not defined

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

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If ax + bx + c =0 is satisfied by every value of x,then

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b = 0,c = 0

c = 0

b = 0

a = b = c = 0

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The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

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The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

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I quadrant

II quadrant

III quadrant

IV quadrant

The slope of x-axis is

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0

undefined

1

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x

y

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the curve of the parabola y² = -4ax is symmetric with respect to

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x -axis

y - axis

Botha x and y- axis

None of thes

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

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[a.b.c]

2[a,b,c]

[abc]-2

2[abc]2

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n!

0!

1

None of these

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

The vertices of the ellipse x²+ 4y²= 16 are

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If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

There is no element common in

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N and W

E and W

N and O

Q and Q'

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Period of Cotangent function is

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π

-π

0

-2π

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(a - c)²= b²- c²

(a - c)²= b²+ c²

(a + c)²= b²- c²

(a + c)²= b²+ c²

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

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Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

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