Question # 1

The additive inverse of a real number is a:

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0

-a

a

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3×1

1×3

3×3

1×1

sin5Θ + sin3Θ is equal to:

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2cos 2Θ sin Θ

-2 cos 4Θ sin Θ

-2 sin 4Θ cos Θ

2 sin 4Θ cos Θ

A compound statement of the form "if p then q" is called an:

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tautology

conditional

consequent

absurdity

Synthetic division is a process of:

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division

subtraction

addition

multiplication

For a positive integer n:

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(n+1)! = (n+1)n!

(n+1)! = (n+1)(n-1)!

n! = n(n+1)!

none of these

If sin α < 0 and cos α > 0, then α lies in:

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I

II

III

IV

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40

-40

26

-26

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none of these

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A

B

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

In a triangle ABC if a² - b² + c² = ac then < ß =

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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

If 2s = a + b +c, then in any triangle ABC:

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none of these

No. of signals made by 5 flags of different colors using 3 flags at a time is:

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60

15

10

None

One card is drawn at random from a pack of 52 cards. The probability that the card drawn a king is:

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none of these

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quad I

quad. II

quad. III

quad. IV

Two matrices X and Y are equal if and only if:

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X and Y are of same order

Their corresponding elements are equal

Both a and b

None of these

If triangle ABC, If ß = 90° then:

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none of these

If 2s = a + b + c, where a, b, c are the sides of a triangle ABC, then area of triangle ABC is given by:

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If f(x) = arccos x, then:

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