Question # 1

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

If p and q are two statements then their biconditional 'p if q' is denoted by

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If S is a sample space and event set E = S then P(E) is

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>0

1

<1

0

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

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1 + tan²x + c

tan x + c

-tan x + c

cot x + c

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

If f(x) = tan x then f(0) is

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0

1

1/2

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

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Addition

Multiplication

Subtraction

Division

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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quadrant I

quadrant II

quadrant III

quadrant IV

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (-1,-2) the

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

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If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to

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150𝜊 20'

132𝜊 35'

101𝜊 25'

160𝜊 50'

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

The different of tan x is

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sec2 x

ln |sec x|

sec2 xdx

-cos ec2 x

∫ x cos dx is equal to :

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x cos x + sin x

cos x + x sin x

x cos x + x sin x

x sin x + cos x

The last term of (1+2x)-2

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(-1)-2 (2x)-2

(-1)-4(-2x)-2

(-1)-3(2x)-3

Does not exist

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I and II quadrants

I and III quadrants

II and III quadrants

II and IV quadrants

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

If y = 2x , then

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y1 -ln2y = 0

y2-(ln2)2 y = 0

y2-(ln2)y1 = 0

All are correct

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Always negative

Zero

Always positive

Infinity

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

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