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**ganesh****Moderator**- Registered: 2005-06-28
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The sum 1 + 4 + 9 + 16 + ....1600 is equal to

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****Moderator**- Registered: 2005-06-28
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If the volume of a sphere is equal to

cubic centimeters, what is the diameter of the sphere?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****Moderator**- Registered: 2005-06-28
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Two regular polygons have number of sides in the ratio 4:5. The measure of their interior angles is in the ratio 25:26. How many sides does the polygon with lesser number of sides contain?

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****Moderator**- Registered: 2005-06-28
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If S[sub]n[/sub] = 1 + 4 + 4[sup]2[/sup] + .... n terms, find the least value of n

such that S[sub]n[/sub] > 1500.

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

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**ganesh****Moderator**- Registered: 2005-06-28
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Form the equation whose roots are 7 + √3 and 7 - √3.

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the value of

where n is a natural number?

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the solution set for the equation

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the product of

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,078

If the roots of the equation

are two consecutive integers, what is the value of

?

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,078

If n is a natural number, then

is divisible by which one of the following?

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the sum of the numbers lying between 107 and 253 which are divisible by 5?

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**ganesh****Moderator**- Registered: 2005-06-28
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In a quadratic equation with leading coefficient 1, Shakil reads th coefficient 16 of x wrongly as 19 and obtains the roots -15 and -4. Which of the following are correct roots of the equation?

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**ganesh****Moderator**- Registered: 2005-06-28
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If A is the set of factors of the number 15, B is the set of prime numbers less than 10 and C is the set of even numbers less than 9, then what is

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**ganesh****Moderator**- Registered: 2005-06-28
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Which of the following is true if

?

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**ganesh****Moderator**- Registered: 2005-06-28
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The ares of the adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,078

Evaluate:-

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**ganesh****Moderator**- Registered: 2005-06-28
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A hemispherical bowl of radius 9 cm is full of water. This is filled in cylindrical bottles of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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R[sub]1[/sub], R[sub]2[/sub] are the remainders when the polynomials x³ + 2x² - 5ax - 7 and x³ + ax²- 12x + 6 are divided by x+1 and x-2 respectively. If 2R[sub]1[/sub] + R[sub]2[/sub] = 6, find the value of a.

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,078

Simplify:-

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**ganesh****Moderator**- Registered: 2005-06-28
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A fraction becomes

if 1 is subtracted from the numerator and 2 is added to the denominator. If 2 is subtracted from the numerator and 1 is added to the denominator, the fraction becomes . Find the fraction.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Moderator**- Registered: 2005-06-28
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A cylindrical container of height 32 cm and base diameter 18 cm is filled with sand. The container is emptied on the ground and a conican heap of sand is formed. If the height of the conical heap is 24 cm, find te radius of the heap.

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**ganesh****Moderator**- Registered: 2005-06-28
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If 2 - i is a solution of x[sup]2[/sup] - 4x + k = 0, then what is the value of k?

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**ganesh****Moderator**- Registered: 2005-06-28
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If

then what is the angle between and ?

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,078

Which of the following is true if

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,078

Find the angle between the vectors

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