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#426 2007-12-22 18:16:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Correct again, JohnnyReinB!!!

Both the answers are correct. Keep it up!!!

#406. A man received 10% increase in his salary. His new salary is #2926. What was his salra before the hike?

#407. A bicycle was sold for $1980 at a gain of 10%. What is the cost price of the bicycle?


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.

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#427 2007-12-22 18:20:05

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions



"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#428 2007-12-22 18:37:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Good work, JohnnyReinB!
Both your answers are correct!!!

#408. What is the value of MDCCCLXXXVIII?

#409. What is the sum of plane angles at a point (in radians)?


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.

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#429 2007-12-22 18:48:55

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#430 2007-12-22 18:52:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Correct, JohnnyReinB!

#410. Find x if 9, x, x, 49 are in proportion.

#411. Find x, if 48, 36, x are in proportion.

#412. An electric pole casts a shadow of length 20 meters at a time when a tree 6 metres high casts a shadow of length 8 meters. Find the height of the pole.


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.

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#431 2007-12-22 18:54:24

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#432 2007-12-22 18:59:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions


Correct, JohnnyReinB!
Your answer to #412 is correct!!!

#413. If 36 men can do a piece of work in 20 days, in how many days will 15 men complete the same work?

#414. If 36 men can complete a work in 24 days, how many extra men have to be employed so as to complete the work in 18 days?


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.

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#433 2007-12-22 19:04:16

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions



"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#434 2007-12-22 19:07:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Very well done, JohnnyReinB! Both the answers you posted are correct!!!

#415. Is x³ + 7x² + 16x + 12 divisible by (x+3)?

#416. What is the remainder when (2a³ + a² - 5a +3) is divided by (a-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.

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#435 2007-12-22 19:11:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#417. Simplify:-

418. 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.

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#436 2007-12-22 19:29:15

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions



"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#437 2007-12-22 21:12:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

JohnnyReinB,
Solution to #418 is correct.
#417 :- Try again.

#419. Find the compound interest for $5000 for 2 years at the rate of 8% per annum when interet is compounded annually.

#420. In how many years will $5000 amount to $6655 at 10% compound interest compounded annually?

#421. A sum becomes 216/125 times of itself in 3 years compounded annually. Find the rate of interest charged.

#422. During festival season, a saree is sold for $3250 after allowing discount of 35%. What is the marked price?

#423. Is 2p²-9p-18 divisible by (p-6)?

#424.The area of a rectangle is a²+4a-21. Find the width of the rectangle if the length is (a+7).

#425. What is the remainder when


is divided by (x+1)?

#426. A train travels (2x²+13x+15)kilometers in (x+5)hours. What is the average speed of the train?


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.

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#438 2007-12-22 22:09:04

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: 10 second questions


Why did the vector cross the road?
It wanted to be normal.

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#439 2007-12-23 17:31:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Solution to #426.
Bull's eye, mathsyperson!
Congratulations!!!

#427. Solve

#428. Solve

#429. Solve

#430. Solve


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.

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#440 2007-12-23 20:19:24

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#441 2007-12-23 22:48:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Both correct!!!
Well done, JohnnyReinB!!!


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.

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#442 2007-12-23 22:57:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#431. A cubical box of volume 2197 cubic cm is put in a big cubical box of side 39 cm. How many such boxes can be put in the big box?

#432. Find the smallest number by which 3456 must be multiplied so that it becomes a perfect cube.

#433. The sides of a cube are doubled. Find the ratio of the volumes between the first cube and the new cube.


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.

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#443 2007-12-23 23:04:49

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#444 2007-12-24 00:55:26

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

No, JohnnyReinB! You are wrong this time!!!

#434. Find the value of 704²-296².

#435. Find the value of

#436. Find the value of the following expression when x=2 and
y=-3.
9x²+16y²+24xy.

#437. If

, find the value of

Last edited by Jai Ganesh (2007-12-24 17:30:09)


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.

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#445 2007-12-24 01:04:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#438. If the same number is added to the numerator and the denominator of the fraction 3/5, the result is 3/4. Find the number.

#439. Two numbers are such that the ratio between them is 5:7. If 7 is added to each of them, the ratio becomes 3:4. Find the numbers.

#440. The numerator of a rational number is less than its denominator by 3. If the numerator becomes three times and the denominator is increased by 20, the new number becomes 1/8. Find the original number.


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.

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#446 2007-12-24 01:10:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#441. The ratio of surface areas of two cubes is 1:4. Find the ratio of their volumes.

#442. The volume of a cube is 512 m³. It is to be painted. If the cost of painting is $5 per m³, find the amount spent on painting the cube.

#443. A class room is 8m long, 7m broad and 4m high. Doors and windows occupy an area of 22m². Find the cost of painting the walls at the rate of $12 per meter square.

Last edited by Jai Ganesh (2007-12-24 17:33:07)


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.

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#447 2007-12-24 02:31:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#444. The length of a chord of circle at a distance of 5 cm from the center is 24 cm. The diameter of the circle is _________________ cm.

#445. Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. WEhat is the measure of the larger angle?

#446. The ratios of the areas of a square of side 6 cm and an equilateral triangle of side 6 cm is ___________________.

#447. The largest possible square is inscribed in a circle of circumference 2pi units. What is the area of the square in square units?

#448. A square S encloses another square s in such a manner that each corner of s is at the midpoint of the side of S. If If A is the area of S and a is the area of s, then
(a)A=a
(b)a=2A
(c)A=2a
(d)A=4a


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.

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#448 2007-12-24 02:58:15

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: 10 second questions




Merry Christmas Ganesh!


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#449 2007-12-24 03:02:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

All correct, JohnnyReinB!!!
Very well done!!!!!

Try the rest of the problems when you find the time.
Merry X'mas to you too, JohnnyReinB!!!


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.

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#450 2007-12-24 03:24:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#449. What is the value of

?

#450. In an election, a total of 500,000 voters participated. A candidate got 255,000 votes which was 60% of the total valid votes. What was the percentage of invalid votes?

#451. A train started from a station with a certain number of passengers. At the first halt, half of the passengers alighted and 120 passengers got in. At the second halt, half of the passengers alighted and then the train left for its destination with 360 passengers. How many passengers were there in the train when it started from the first station?


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.

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