Question # 1

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0

1

-1

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

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There are ______ types of rational fraction

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Three

Four

Five

Two

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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The graph of a linear function is

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a circle

triangle

a straight line

none of these

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0

-1

1

2

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

i is equal

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(1 , 0)

(0 , 1)

(1 , 1)

(0 , 0)

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Orthogonal

Involutary

Idempotent

Nilpotent

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none of these

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

The distance of the point (a,b) from y-axis is

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a

b

a + b

Period of Sine and Cosine function is

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π

2π

-π

-2π

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1/3

1

3

None of these

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0

Independent of a

Independent of b

Independent of c

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2

-2

none of these

(x3-1/x)12

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295

495

395

722

The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

The period sin²θis

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π²

π

2π

π/2

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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Biconditional

Implication

Antecedent

Hypothesis

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

If C is the mid point of AB and P is any point outside AB, then

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