Question # 1

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

The point ________ is in the solution of the inequality 2x - 3y > 5

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(1, -1)

(2,2)

(0,0)

(3,0)

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

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I

14 I

0

None of these

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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Principle of equality of fractions

Rule for product of fractions

Golden rule of fractions

Rule for quotient of fractions

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2x cos x2

2sinxcosx

- sin x2

2x sin x2

The set of complex numbers forms a group under the binary operation of

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Addition

none of these

Division

Subtraction

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

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π / 3

π / 4

π / 6

0

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100x ⁹⁹

100x ¹⁰¹

-99x ⁹⁹

-100x ¹⁰¹

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ab=-1

ab = 1

ab = 2

None

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

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The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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square root function

identity function

linear function

quadratic function

The first three terms in the expansion of (1 - x)^-1are

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1 + x + x²

1 - x - x²

-1 -x +x²

1 - x + x²

If a,b c are sides of a triangle taken in order then a x b =

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b x c

b x a

cxa

Both a & b

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

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A = C

A = B

B = C

None of these

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none of these

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

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