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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
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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
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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
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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
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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.

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 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: 22,612

Which of the following is true if

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,612

Find the angle between the vectors

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