Question # 1

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

Tan 30° = _____

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π is ______

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A complex number

A rational number

A natural number

An irrational number

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

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A

B

U

None of these

The sum of first twenty odd integers in A.P is

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400

397

404

408

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The sum if 1,3,5,7,9........ up to 20 terms is

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400

472

563

264

A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

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40 m

30 m

20 m

60 m

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The distance of the point (-2 , -3) from x-axis is

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2

-3

3

5

The period of 2 cos x is

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30π

7π

5π

2π

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The angle between lines xy =0 is

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45°

60°

90°

180°

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are real no

both are not real

are imaginary no

both are imaginary

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0

1

-1

none of these

sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

The set which has no proper subset is

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{0}

{}

{∅}

None of these

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

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110

220

1320

None of these

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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8

4

64

Two positive integers whose sum is 30 and their product will be maximum are

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12,18

10,20

15,15

14,16

In one hour, the hour hand of a clock turns through

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