Question # 1

The square root of every incomplete square is an

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Rational numbers

Even numbers

odd numbers

Irrational numbers

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

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

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

The general solution of the differential equation x dy / dx = 1 + y is:

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2

1

3

None

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By expressing sin 125° in terms of trigonometrical ratios, answer will be

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sin 65° = 0.9128

sin 55° = 0.8192

sin 70° = 0.5384

sin 72° = 0.1982

The domain of the principle sine function is

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______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

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116 m

200 m

216 m

None of these

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The distance of the point (a,b) from y-axis is

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a

b

a + b

In R the number of identity elements w.r.t.'.' is

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One

Two

Three

Four

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The period of 2 cos x is

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30π

7π

5π

2π

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

In set builder notation the set {0,1,2,........100} can be written as

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{x / xε B ∧ x ≤ 100}

{x / x ∈ W ∧ x < 101}

{x / x ∈ Z ∧ x < 101}

The set of first 100 whole numbers

In the function f: A⟶B, the elements of a are called

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Images

Pre-images

ranges

Parameters

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

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Through how many radians does the hour hand of a clock turn in one hour

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s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

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