Question # 1

Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

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a = a

a < a

a > a

a²= a

If n is any positive integer then n²> n + 3 for

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The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

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N

r

2r

π

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

Tan 2θ=

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tan (-135°) = ______θ

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0

1

2

3

Which one represents a sequence

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an

Sn

a(n)

{an}

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

No term of a geometric sequence can be

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0

1

2

3

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direction ratios

direction cosines

direction angles

none of these

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

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

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Bounded region

Convex region

Unbounded region

None

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

i³=

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-1

i

-i

1

An improper rational fraction can be reduced by division to a

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Proper fraction

Polynomial

mixed form

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(a + b)c = a . c + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b+ c) = ab + ac

The third term of a G.P. is 4, The product of first five terms is

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43

45

46

None of these

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

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{-1}

{-3/5}

Empty set

{-1/3}

The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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k3

0

3k

k6

Sum of all the four forth roots of unity is

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1

-1

i

0

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