Question # 1

n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

If p and q are two statements then their conjunction is denoted by

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Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

If a > 0, b > 0, c > 0, then the roots of the equation ax²+ bx + c = 0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

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-1

0

1

None of these

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I and II quadrants

I and III quadrants

II and III quadrants

II and IV quadrants

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

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From an empty set

1

2

>2

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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0

1

2

3

A point (x,y) which satisfy a linear inequality in two variables form its

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Solution

Domain

Range

None

The solution of the equation 3 tan²x = 1 is ____________

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none of these

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

The point lying on the terminal rat of -270° is

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(1,0)

(0,-1)

(0,1)

(-1,0)

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120

5

4

6

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

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A2

A5

A3

A7

With usual notations b2 = a2 + c2 -2ac cos is called______;

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None of these

Law of sines

Law of consines

Law of tangents

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cos 3x + c

- cos 3x + c

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

None of these

A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______

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f(p)

f(x)

f(o)

None of these

One degree is denoted by

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1⁰

1'

1"

1 rad

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

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90°

60°

30°

45°

Which of the following is a vector.

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energy

force

work

power

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

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