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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

Hi,

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

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

Hi,

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

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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 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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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
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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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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: 622

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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: 622

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

Neat work!

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 622

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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: 622

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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: 622

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

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: 622

( 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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,592

Neat work!

A # 82. Solve:

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 622

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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