Question # 1

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2

5

7

None of these

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

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45°

30°

75°

60°

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-cosec²x

-sec²x

- cosec x cot x

cosec x

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2 x 2

2 x 3

3 x 2

3 x 3

Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

Domain of cosθis

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Set of odd numbers

Set of integers

Set of real numbers

Set of complex numbers

The quadratic equation 8 sec²θ- 6 secθ+1 = 0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

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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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

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

A function F(x) is called even if

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F(x) = F (-x)

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

Derivative of x³w.r.t x is

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0

1

3x²

x³

The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is

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1⁰

1'

1"

1 rad

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

Which shape of the following objects are approximately parabolic ares?

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Light reflectors

Force

Weight of the pendul

None of these

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

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1.5

1.2

8

None of these

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none of these

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none of these

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

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