Question # 1

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

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How many arrangements of the letter of the word PAKPATTAN can be made

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A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

9. 8. 7. 6= ______

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Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

The law of sines is

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F(x) = x^xdecreases in the interval

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(0, e)

(0, 1)

(-∞,0)

None

The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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0

-1

1

not defined

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0

1

1/2

Sin 270° = ______

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-1

0

1

Undefined

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

The set of rational numbers is subset of

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The set of natural numbers

The set of real numbers

The set of integers

The set of whole numbers

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Principle of equality of fractions

Rule for product of fractions

Golden rule of fractions

Rule for quotient of fractions

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

The vertices of the ellipse x²+ 4y²= 16 are

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

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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