Question # 1

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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x

y

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

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O is ______

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A positive integer

A negative integer

A natural number

An integer

∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

w²⁹= ______

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0

1

w

w²

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

(a, b) + (-a, -b) =

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(0,0)

(a, b)

(-a, -b)

(1, 1)

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xa^x-1

a^x

x in a

a^xIn a

The system of measurement in which the angle is measured in degrees, minutes and seconds is called the

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circular system

CGS system

sexagesimal system

none of these

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

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Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

Domain of cosecθis

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A non-terminating non_recurring decimal represents an

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Irrational no

Both a & c

Rational no

None of these

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

3x + 4 < 0 is

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not inequality

equation

identity

inequality

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

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0

1

-1

If x²- 7x + a has remainder 1 when divided by x + 1, then a = ______

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-7

7

0

None of these

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplication identity

Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is

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0.28

0.13

0.12

0.42

Range of cos x is ______

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[-1, 1]

R

Negative real numbers

R - { x | - 1 < x < 1}

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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The set which has no proper subset is

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{0}

{}

{∅}

None of these

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

60° = ______

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Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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