Question # 1

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1

2

3

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360°

180°

90°

None of these

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

sin (α +β)=

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sinαcosβ- cosαsinβ

sinαcosα- cosβsinβ

sinαcosα+ cosβsinβ

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

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The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

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Linear Inequalities

Feasible regions

Half planes

Boundary

A circle which touches one side of a triangle extermally and the other two sides produced is called

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In-circle

Circumcircle

e-circle

Point circle

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x³

3x²

3x

3

If you are looking a bird in the tree from the ground then the angle formed is called angle of______;

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Elevation

Depression

Right angle

None of these

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

A triangle has ____ elements

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3

4

5

6

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A

B

U

None of these

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

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True

False

Ambiguous

Some times true

∀x∈(a,b),f(x) is increasing if

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f′(x) >0

f′(x) <0

f′′(x) >0

f′′(x) =0

The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

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none of these

Arithmetic mean between a and b is

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For any real numbers x,y,xy=o ⇒

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x ≠ 0 ∧ y ≠ 0

x = 0 ∨ y = 0

x = 0

y = 0

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y + 1 = Ae^x

y + 1 = Axe^x

xe^x= C

y + xe^x= C

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I andII quadrants

II andIII quadrants

III andIVquadrants

none of these

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none of these

tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

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

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-3 -2i

3 +2i

1 + 2i

1 - 2i

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

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