Question # 1

In R the right cancellation property w.r.t. addition is

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-8

8

8i

32

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

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3

1

2

4

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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Additive inverse of - a - b is

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a

-a + b

a - b

a + b

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0

1

2

3

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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Angle A is obtuse

Angle A is acute

Angle A is right-angle

All of above

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1

2

3

4

The seventh term of (x3+1/x)8is

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71

-22

27

28

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If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

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Real numbers n

Integers n

Positive integers n

None of these

Sin 90° = ______

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-1

0

1

Undefined

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25

16

5

0

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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2s²

2s³

s³

3s³

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

f(x) = x3-x/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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- cot 4x + c

cot 4x + c

tan 4x + c

- tan 4x + c

Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

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cos x

sec x tan x

sec²x

-cosec²x

sin (sin^-1(1/2))=

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0

2

∞

1/2

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

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> or <

= or≠

= or >

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