Question # 1

Archimedes approximate the function by horizontal function and the area under f by the sum of small

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Parallelograms

Squares

Retangles

Polygons

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

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

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Roots of the equation 2x²- 7x + 3 = 0 are

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Rational

Irrational

Complex

None of these

cotθ= sin 2θifθ=

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For all points (x,y) in second quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

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π/ 4

π/ 6

π/ 3

2π/ 3

A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

The law of sines can be used to solve oblique triangle when following information is given:

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Two angles and a side

Two sides and an angle opposite one of the given sides

Two sides and the angle between two sided

Option a and b

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none of these

Period of Cotangent function is

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π

-π

0

-2π

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

(n + 2) (n + 1)n in factorial form is

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n(n - 1) (n - 2) in factorial form is

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x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

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Which of the following is a scalar

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weight

force

speed

momentum

The position vector of the point P(a, b, c) is

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(2.02)4 s equal to

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16

16.6496

17

18

sin^-1 x =

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tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

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

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

45° = ______

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- cos x

sin x

- sin x

sec x

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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