Math Is Fun Forum

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The solutions 2293, 2294, 2295, and 2296 are perfectly right. Excellent!

#2297. The circumference of the edge of a hemispherical bowl is 132 cm. Find its capacity.

#2298. A plastic doll is made by surmounting a cone on a hemisphere of equal radius whose radius is 7 cm and slant height is 11 cm. Find the surface area of the doll.

#2299. A hollow spherical shell is made of a metal of weight 4.2 gm per cubic cm. If its internal and external radii are 10 cm and 11 cm, find its weight.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The solutions 2297 and 2299 are correct. Well done!

For 2298, the surface area is 550 sq.cm.(308+242).

#2300. Find the slant height of the cone whose base has the diameter 10 cm and whose height is 12 cm?

#2301. What is the lateral surface area of a cone whose slant height is 10 cm and base diameter is 14 cm?

#2302. A  conical tent is required to accommodate 7 persons each person requires 22 sq.cm. of space on the floor and 176 cu.cm. of air to breathe, find the vertical height.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The answers 2300, 2301, and 2302 are perfectly correct. Keep it up!

#2303. Find the reminder when the polynomial p(x)=x[sup]4[/sup]-3x[sup]2[/sup]+2x+1 is divided by x-1.

#2304. Find the reminder when 2x[sup]4[/sup]-4x[sup]3[/sup]+x[sup]2[/sup]-8x+3 is divided by 2x+1.

#2305. If the polynomials ax[sup]3[/sup]+4x[sup]2[/sup]+3x-4 and x[sup]3[/sup]-4x+a leave the same reminder when divided by (x-3), find the value of a.

#2306. If the reminder, when a-2x+5x[sup]2[/sup] is divided by x-2 is 7, then find a.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The replies to 2303, 2304, 2305, and 2306 are perfect. Superlative!

#2307. Find the sum of all three digit numbers which are divisible by 9.

#2308. The interior angles of a polygon are in Arithmetic Progression. The smallest angle is 120 degrees and the common difference is 5 degrees. Find the number of sides of the polygon.

#2309. Simplify:

.

#2310. Factorize:

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The answers 2307, 2308, 2309, and 2310 are perfect. Perfection!

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

Thanks for the quick responses. I was worried about #2308.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

In 2308,

Because Sum of the interior angles of a polygon=(no. of sides - 2) x 180 degrees'

Solving the quadratic eqn.

n=9 only.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

That's better than what I did. I used that formula ( n - 2 )180 where n is the number of sides and reasoned like this

3 interior angles ( 120 + 125 + 130 ) / 180 is not an integer , so I tried

4 interior angles ( 120 + 125 + 130 + 135 ) / 180 is not an integer, I kept this up until I got to 160
.
.
.

9 interior angles ( 120 + 125 + 130 + 135 + ... + 160 ) / 180 = 7 an integer!  9 interior angles means 9 sides.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

#2311. Factorize

#2312. Find the square root of

.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The answers to 2311 and 2312. Fantastic!

#2313. Factorise:

.

#2314. Find the Greatest Common Divisor of the following polynomials:

and

.

#2315. Simplify:

.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The replies 2313 and 2314 are immaculate.

#2315.If

is a perfect square, find the value of p and q.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

You mean #2316, I have already answered #2315.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The solution to 2315 are p=4, q=1.

#2316. Find m if

leaves a reminder 7 when divided by x+1.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The answer to 2316 is correct. Well done!

#2317. Find the square root of

#2318. The sum of the ages of a father and the son is 45 years. Five years hence the product of their ages will be 600. Find their present ages.

#2319. Find the Least Common Multiple of

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,334

Re: 10 second questions

Hi bobbym,

The solutions to 2317, 2318, and 2319 are perfect. Marvelous!

#2320. If

and

are the roots of

, find
1.

2.

3.

.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.