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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


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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?


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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?


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

ganesh
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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.


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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.


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

ganesh
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Re: Exercise

What is the value of


where n is a natural number?


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#82 2009-03-17 20:18:00

ganesh
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Re: Exercise

What is the solution set for the equation

?


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

ganesh
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Re: Exercise

What is the product of

?


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

ganesh
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Re: Exercise

If the roots of the equation


are two consecutive integers, what is the value of
?


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

ganesh
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Re: Exercise

If n is a natural number, then


is divisible by which one of the following?


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

ganesh
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Re: Exercise

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


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

ganesh
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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?


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

ganesh
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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

?


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

ganesh
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Re: Exercise

Which of the following is true if

and
?


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

ganesh
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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.


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

ganesh
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Re: Exercise

Evaluate:-

.


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

ganesh
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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?


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

ganesh
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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.


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

ganesh
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Re: Exercise

Simplify:-

.


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

ganesh
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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.


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

ganesh
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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.


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

ganesh
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Re: Exercise

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

ganesh
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Re: Exercise

If

,
then what is the angle between
and
?


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

ganesh
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Registered: 2005-06-28
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Re: Exercise

Which of the following is true if

?


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

ganesh
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Registered: 2005-06-28
Posts: 15,142

Re: Exercise

Find the angle between the vectors

.


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