Question # 1

A.M between 1 + x - x² and 1 + x + x² is:

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1 + x²

1 + x

2

none

Zero cannot be a term of:

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A.P and G.P

G.P and H.P

A.P and H.P

only H.P

What is the common difference of the sequence 11, 5, -1, ......... ?

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6

-6

none of the foregoing numbers

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If sinΘ <0, cosΘ<0 then the terminal arm of the angle lies in quadrant:

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I

II

III

IV

The circum-radius R of a triangle is given by:

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0

-1

>1

none

The solution set of 2cosΘ + √3 = 0 is:

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finite set

infinite set

A statement which is true for all possible values of the variables involved in it, is called a:

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tautology

conditional

implication

absurdity

No. of arrangements can be made of 4 letters a, b, c, d taken 2 at a time ?

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8

12

10

14

Number of digits multiple of 5 made from the digits 2, 3, 5, 7, 9 is:

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5

24

20

none

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How many complex cube roots of unity are there:

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2

0

1

3

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p is false and q is true

both p and q are false

p is true and q is false

both p and q are true

Sum of all odd numbers between 100 and 200 is:

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6200

6500

3750

7500

The middle term in the expansion of (1+x)^1/2 is:

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T₂

T₃

does not exist

none of these

If z₁ = 4i and z₂ = 3 - 9i, then z₁ + z₂ =

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3 - 5i

3i - 5

7 - 9i

3 + 5i

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A declarative statement which is either true or false but not both is called:

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logic

proposition

induction

deduction

If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

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tan Θ

cos²Θ + sin²Θ

r

Θ

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