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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi anonimnystefy and bobbym,

The answers 71 and 72 are correct. Well done!

73. When (2,5) lies on 4x + my = 3, the value of m is _______________

(a) 1

(b) -1

(c) 2

(d) -3

74. The value of

= ____________(a) 1

(b)

(c)

(d) 0

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,525

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi anonimnystefy and bobbym,

The answers 73 and 74 are correct. Well done!

75. Given A = {1,2,3} and B = {2,3,5}, A - B = ___________________

(a) {1,2}

(b) {1,3}

(c) {1}

(d) {5}

76. The quadratic equations of the roots

is _______________(a) x[sup]2[/sup] - 4x + 1 = 0

(b) x[sup]2[/sup] + 4x + 1 = 0

(c) x[sup]2[/sup] - 4x - 1 = 0

(d) x[sup]2[/sup] + 4x - 1 = 0

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi bobbym,

The answers 75 and 76 are correct. Well done!

77.

= ____________________(a)

(b)

(c)

(d) None of these

78. When A and B are mutually exclusive events, then

= _______________(a) 0

(b) P(A)

(c) P(B)

(d) None of these

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**careless25****Real Member**- Registered: 2008-07-24
- Posts: 555

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi bobbym and careless25,

bobbym : The relation is given by

The answers 78 (bobbym) and 77 & 78 (careless25) are correct. Well done!

79. When

is divisible by x - 1, the value of a is __________________(a) 7

(b) -7

(c) 6

(d) 5

80. The roots of the equation x[sup]2[/sup] - 4 = 0 are ______________

(a) real and equal

(b) imaginary

(c) unreal

(d) real and unequal

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**careless25****Real Member**- Registered: 2008-07-24
- Posts: 555

*Last edited by careless25 (2012-07-17 13:03:37)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi bobbym and careless25,

careless25 : The answer

The answer 80 is correct. Well done!bobbym : Both the answers are correct. Well done!

81. The length of the diagonal of a square of side √8 cm is _____________

(a) √8 cm

(b) 4 cm

(c) 2 cm

(d) 8 cm

82. The slope of the line y = 7 is __________________

(a) 1

(b) 7

(c) 0

(d) None of these

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi bobbym,

The answers 81 and 82 are correct. Well done!

83. The minimum value of the function Z = 3x + y is at __________________

(a) (1,1)

(b) (1,0)

(c) (2,1)

(d) (2,0)

84. The mid-point of the line joining the points (7,5) and (5,7) is ________________

(a) (0,0)

(b) (6,6)

(c) (6,0)

(d) (0,6)

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi bobbym,

The answers 83 and 84 are correct. Well done!

85. If sin 60[sup]o[/sup] = cos x, then tan x = __________________

(a) 1/√3

(b) √3

(c) 1

(d) 0

86. The probability of a sum event is ______________

(a) 0

(b) 1

(c) Not defined

(d) None of these

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,525

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi bobbym and anonimnystefy,

The answers 85 and 86 are correct, bobbym! Well done!

anonimnystefy : 85 is correct, Well done!

87. Given A = {1,2,3,4} and B = {3,4,5,6}, B - A = __________________

(a) {1,2}

(b) {3,4}

(c) {5,6}

(d) {}

88. The quadratic equation with the roots ±1 is ____________________

(a) x² + 1 = 0

(b) x² + x + 1 = 0

(c) x + 1 = 0

(d) x² - 1 = 0

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,525

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,455

Hi bobbym and anonimnystefy,

The answers 87 and 88 are correct. Well done!

89. A point on 4x + 2y ≤ 10 is ___________________

(a) (2,2)

(b) (2,1)

(c) (3,1)

(d) (1,4)

90. The point of intersection of the lines x + y = 3 and x - y = 1 is at ________________

(a) (3,2)

(b) (2,1)

(c) (1,2)

(d) (1,1)

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,525

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline