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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 75 and 76 are correct. Brilliant!

77. A pendulum of length 40 centimeters subtends 60° at the vertex in one full oscillation. What will be the shortest distance between the initial position and the final position of the bob?

78. Find the value of

.It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solution 78 is perfect. Remarkable!

79. In the geometric series 2 + 4 + 8 + .... starting from the first term, how many consecutive terms are needed to yield the sum 1022?

80. Find the equation of the straight line whose 'x' and 'y' intercepts on the axes are 2 and 3.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 79 and 80 are correct. Good work!

81. If

, then verify .82. Find the Standard Deviation of the following data : 10, 20, 15, 8, 3, 4.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

hi bobbym,

the solutions 81 and 82 are correct. Impeccable!

83. Form an equation whose roots are reciprocals of the roots of the equation

.84. Find the equation of the straight line passing therogh the point (1,2) and perpendicular to x-2y+1 = 0.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi,

85. The base of a triangle is 4 ce4ntimeters longer than its altitude. If the area of the triangle is 48 centimeters, the find its base and altitude.

86.If

are the roots of the rquation , form an equation whose roots are .Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 83, 84, 85, and 86 are correct. Magnificent!

87. The sum of three terms of a geometric sequence is

and their product is -1. Find the ommon ratio and the terms.88 optional :

88.If

, then find .Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 87 and 88 are correct. Impeccable!

89. A cup is in the form of a hemisphere surmounted by a cylinder. The height of the cylindrial portion is 8 centimeters and the total height of the cup is 11.5 centimeters. Find the total surface area of the cup.

90.(i) How many balls each of radius 1 centimeter can be made from a solid sphere of radius 8 centimeters?

(ii) Twenty cards are numbered from 1 to 20. A card is drawn at random. What is the probability that the number on the card is a multiple of 4?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi,

91. Find the value of

.92. The internal and external radii of a hollow cylinder are 12 centimeters and 18 centimeters respectively. If its height is 14 centimeters, then find its total surface area.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 89, 90 (i) and (ii), and 91 are correct. Marvelous!

93. Find the coefficient of range of the following data : 59, 46, 30, 23, 27, 40, 52, 35, 29.

94. The y-intercept of a line is twice its x-intercept. Find its equation if it passes through (3,4).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solution 94 is correct. Good work!

95. If

is a perfect square, then find the values of 'm' and 'n'.96. A Chess board contains 64 equal squares and the area of each square is 6.25 square centimeters. A border round the boand is 2 centimeters wide. Find the length of the side of the chess board.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 95 and 96 are correct. Brilliant!

97. Find the sum of the arithmeic series : 5 + 11 + 17 + .... + 95.

98. A straight line cuts the coordinate axes at A and B. If the midpoint of AB is (3,2), find the equation of AB.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 97 and 98 are correct. Brilliant!

99.A bag contains 50 bolts and 150 nuts. Half of the bolts and nuts are rusted. In an item is chosen at random, find the probability that it is rusted or that it is a bolt.

100. The volume of a cylinder is

cubic centimeters and height 7 centimeters. Find its lateral surface area and total surface area..

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi,

101. Which term of the Arithmetic Progression 21, 42, 63, 84 .... is 420?

102. Find the equation of the straight line passing through the point (3,1) and whose intercepts are in the ratio 2:3.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,422

Hi bobbym,

The solutions 101 and 102 are correct. Good work!

103. Find the square root of the polynomial

.104. Solve:

.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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