Question # 1

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

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0

1

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

If G is the centroid of the triangle, then GA +GB+GC=

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0

1

-1

3

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

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4x + 1

4x

2x³

none of these

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

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The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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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additive property

multiplicative property

additive inverse

additive identity

In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics.

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40

30

50

60

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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Zero

one

negative constant

Non negative constant

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An expression

Rational fraction

Equation

Identity

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

3x + 4 > 0 is

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equation

inequality

identity

none of these

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The law of sines

The law of consines

The law of tangents

None of these

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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I

14 I

0

None of these

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

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