Question # 1

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

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0

1

1/2

A disjunction of two statement p and q is true

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p is false

q is false

Both p and q are false

One of p and q is true

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

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The conic is a parabola, when:

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ᵨ > 1

ᵨ < 1

ᵨ = 1

ᵨ = 0

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Every real number is

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A complex number

A rational number

A natural number

A prime number

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56

7

8

8/7

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

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x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

If n is a negative integer n! is

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1

0

Unique

Not defined

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The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is

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1/5

2/5

1/10

3/10

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

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System of linear equations is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

sinα=

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2 sinαcosα

2 sinαcosβ

2 sinα/2 cosα/2

1+ tan²α/2

Associative law of multiplication

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ab - ba

a(bc) = (ab) c

a(b + c) = ab +ac

(a +b)c = ac + bc

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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p < r

p > rr

p + r < 0

p - r < 0

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