Question # 1

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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i³ =

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-1

i

-i

1

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

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1 / 500

1 / 504

1 / 252

1 / 250

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

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Associative property

Identity property

Commutative property

Closure property w.r.t multiplication

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

If A and B are matrices such that AB=BA=I then

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A and B are multiplicative inverse of each other

A and B are additive inverses of each other

A and B are singular matrices

A and B are equal

The direction cosines of y-axis are

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1,0,0

0,1,0

0,0,1

1,1,1

If x < y, 2x = A and 2y = B then

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A =B

A < B

A< X

B < y

The set (Z, +) forms a group

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Function on B

Range

Domain

A into B

Sin(a + b) + Sin(a- b) =

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Sin a Cos b

Sin a Sin b

Sin a + Cos b

Sin a - 2Cos b

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

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Rotation

Inclination

Radian

None

Complex roots of real quadratic equation occur in

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Nilpotent matrix

Singular matrix

Non singular matrix

Diagonal matrix

The parametric equation of a curve are x = t², y = t²then

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dy/dx =3t/2

dy/dx =t⁵

dy/dx =5t⁴

None

In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=

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10

20

40

26

In the figure angle A is =

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15

60

90

20

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