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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,741

Hi,

.

A # 29. Find the value of q such that the equation

has one root which is twice the other.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: 47,741

Hi,

A # 30. Form a quadratic equation, whose roots are

.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: 47,741

Hi,

.

A # 31. If m and n are the roots of the equation

find the value ofIt 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: 47,741

Hi,

A # 32. Find the value of k such that the equation

has one root as the negative of the other.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: 47,741

Hi,

.

A # 33. The sum of a number and its reciprocal is

. Find the number.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: 47,741

Hi,

.

A # 34. A square playground has 2 meter wide all around it. The total area of the ground and path is 1225 square meters.What is the area of the ground alone?

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: 47,741

Hi,

A # 35. The sum of a number and its reciprocal is 6. Find the number (irrational).

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: 47,741

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.

A # 36. 16 added to the sum of the first few terms of the arithmetic sequence 9, 11, 13, ... gave 256. How many terms were 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: 47,741

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A # 37. How many terms of the arithmetic sequence 5, 7, 9, ...should be added to get 140?

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
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A # 38. The difference of two positive numbers is 6. Their product is 216. Find the numbers.

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

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,741

Hi,

The solution SP#38 is correct. Excellent, Monox D. I-Fly!

A # 39. Length of a rectangle is 20 centimeters and its breadth is 4 centimeters. When a new rectangle is formed by changing the length and breadth, its perimeter decreased by 8 centimeters and area increased by 16 square centimeters. Find the change in its length and breadth.

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: 47,741

Hi,

A # 40. The square of a term in the sequence 2, 5, 8, ... is 2500. What is its position? (like 4th, 5th etc.)

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

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,741

Hi,

The solution A # 40 is correct. Excellent, Monox D. I-Fly!

A # 41. A train travels at a certain average speed for a distance of 54 kilometers and then travels a distance of 63 kilometers at an average speed of 6 kilometers per hour more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed?

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: 47,741

Hi,

A # 42. The sum of two numbers is 12 and and sum of its reciprocal is

. Find the numbers.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: 47,741

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A # 43. A rectangle of width 8 centimeters is cut off from a square sheet along its side. The remaining rectangular portion has an area 84 square centimeters. Calculate the side of the square.

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: 47,741

Hi,

A # 44. Find the sides of a rectangle whose perimeter is 100 meters and area 600 square meters.

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

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,741

Hi,

The solution A#44 is correct. Neat work, Monox D. I-Fly!

A # 45. How many consecutive natural numbers from 1 should be added to get 465?

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: 47,741

Hi,

A # 46. Find two numbers with sum 4 and product 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: 47,741

Hi,

.

A # 47. How many consecutive natural numbers starting from 1 should be added to get 300?

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: 47,741

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A # 48. The sum of squares of two consecutive multiples of 7 is 637. Find the multiples.

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: 47,741

Hi,

A # 48. The sum of squares of two consecutive multiples of 7 is 637. Find the multiples.

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: 47,741

Hi,

A # 49. A pavement of width 2 meters is built around a square shaped garden. The area of the pavement alone is 116 square meters. Find one side of the garden.

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

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