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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A#66. The sum of a number and its reciprocal is 5/2. Find the number.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A#67. The sum of some even numbers starting from 2 is 420. Find the number of even numbers added.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A#68. A man's age after 15 years will be the square of his age age 15 years ago. Find the age.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A#69. The sum of some even numbers starting from 2 is 420. Find the number of even numbers added.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A # 70. One year ago, a man's age was eight times the age of his son. At present, man's age is the square of son's age. Find the present ages.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A # 71. The product of Rita's age before 5 years and her age after 9 years is 15. Find her present age.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A # 72. The sum of the ages of a man and his son is 45 years. The product of their ages before 5 years is 124. Find their present ages.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A # 73. Which number added to the polynomial

gives polynomial with (x - 1) as a factor.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

A#73. The number (a) =2

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

Good work!

A # 74. By adding a number to

a new polynomial q(x) is to be formed. What number should be added, so that (x - 1) is a factor of q(x)?Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

A#74:The number (a) = -3.

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi 666 bro,

Neat work!

A # 75. Find the remainder then

is divided by (x + 2).Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A # 76. Find the value of 'a', if (x + a) is a factor of

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A # 77. If

is divided by (x - 3), remainder is -9, find 'a'.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

Solution A#77 is a=2

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Neat work!

A # 78. Find the value of k if (x - 2) is a factor of the polynomial

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

Solution A#78 the values are k=1 or k=(1/16)

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

A # 79. Find the value of k if

is a factor ofNothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

Solution A#79 the value of k=-3

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

Neat work!

A # 80. Factorize:

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

Solution for A#80 is (xy+4z)(xy-4z)((xy)^2 +(4z)^2))

*Last edited by 666 bro (2020-06-18 01:00:26)*

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Hi,

Neat work!

A # 81. Factorize:

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

( x+(1/2) ) ( x-(1/4) )=0

x=1/4 or x= -1/2

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,344

Neat work!

A # 82. Solve:

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

2x^2 -6x -x +3 = 0

2x(x-3) -1(x-3) = 0

(2x-1) ( x-3) = 0

x = 1/2 or x= 3

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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