Question # 1

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

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The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

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√-1 b=

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b

2

2b

None of these

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trigonometric equation

conditional equation

identity

None

Every irrational number is

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A real number

A prime number

A natural number

An integer

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

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2s²

2s³

s³

3s³

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

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

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domain

range

relation

function

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Natural numbers

Whole numbers

Integers

Rational numbers

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Write down the power set of {9, 11}

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The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

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n!

0!

1

None of these

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a sec(ax + b) + c

- a sec(ax + b) + c

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sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

csc(-π/2) = __________;

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0

1

-1

Undefined

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- cot 4x + c

cot 4x + c

tan 4x + c

- tan 4x + c

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The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

The multiplicative inverse of 4 is

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-4

-1/4

1/4

1

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