Question # 1

A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

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A,. B, C are coincident

A, B, C are collinear

Both A and B

None of these

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

By expressing cos 113° in terms of trigonometrical ratios, answer will be

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− cos 76° = -0.7093

− cos 65° = -0.4258

− cos 67° = -0.3907

− cos 62° = -0.8520

The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

If ∀a,b ε R,then a +b ε R is a property

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

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16 / 7

6 / 17

7 / 16

None of these

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

The principal value of sin^-1(-1/2)

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π/3

π/4

π/6

-π/6

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

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none of these

The distance of the point (-2 , -3) from x-axis is

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2

-3

3

5

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0

1

2

4

∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

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Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

If a,b,c are unit vectors then |a + b|2 +|a - b|2

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4

8ab

9cos

4(a,b)

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

A function from X to X is denoted as

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f : X to Y

f : Y to Y

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

If ΔABC is right triangle then the law of Cosines reduces to

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The Pythagoras Theorem

The law of Sines

The law of cosines

The law of tangents

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2x

2

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If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

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none of these

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