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#76 2009-03-17 06:10:03

ganesh
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Re: Exercise

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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#77 2009-03-17 06:26:52

ganesh
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Re: Exercise

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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#78 2009-03-17 06:52:38

ganesh
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Re: Exercise

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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#79 2009-03-17 08:10:38

ganesh
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Registered: 2005-06-28
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Re: Exercise

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.


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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#80 2009-03-17 08:30:55

ganesh
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Re: Exercise

Form the equation whose roots are 7 + √3 and 7 - √3.


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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#81 2009-03-17 20:00:12

ganesh
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Posts: 20,767

Re: Exercise

What is the value of


where n is a natural 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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#82 2009-03-17 20:18:00

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

What is the solution set for the equation

?


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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#83 2009-03-17 20:34:05

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

What is the product of

?


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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#84 2009-03-17 20:48:56

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

If the roots of the equation


are two consecutive integers, what is the value of
?


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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#85 2009-03-17 21:00:02

ganesh
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Posts: 20,767

Re: Exercise

If n is a natural number, then


is divisible by which one of the following?


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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#86 2009-03-18 04:57:10

ganesh
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Posts: 20,767

Re: Exercise

What is the sum of the numbers lying between 107 and 253 which are divisible by 5?


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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#87 2009-03-18 06:25:58

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

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?


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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#88 2009-03-18 06:50:27

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

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

?


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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#89 2009-03-18 06:58:09

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

Which of the following is true if

and
?


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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#90 2009-03-19 04:37:35

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

The ares of the adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid.


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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#91 2009-03-19 04:49:16

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

Evaluate:-

.


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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#92 2009-03-19 05:25:25

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

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?


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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#93 2009-03-19 07:28:54

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

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.


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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#94 2009-03-19 07:45:56

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

Simplify:-

.


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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#95 2009-03-19 08:15:46

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

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.


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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#96 2009-03-19 08:31:47

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

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.


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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#97 2009-03-21 05:52:00

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

If 2 - i is a solution of x[sup]2[/sup] - 4x + k = 0, then what is the value of k?


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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#98 2009-03-21 06:19:15

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

If

,
then what is the angle between
and
?


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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#99 2009-03-21 06:34:52

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

Which of the following is true if

?


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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#100 2009-03-21 07:19:43

ganesh
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Registered: 2005-06-28
Posts: 20,767

Re: Exercise

Find the angle between the vectors

.


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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